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MATH 221 Week 7 Quiz: Statistics for Decision-Making (May 2021)
1. Question: (CO 6) The coefficient of determination is represented by what notation?
2. Question: (CO 6) Two variables have a negative non-linear correlation. Does the independent variable increase or decrease as the dependent variable increases?
3. Question: (CO 6) Find the regression equation for the following data set
4. Question: (CO 6) An instructor wants to determine if a longer lesson would improve student test scores. Which variable would be the explanatory variable?
5. Question: (CO 6) A value of the slope of the regression line would … given the notation of:
6. Question: (CO 6) The graph for a linear regression crosses the y-axis in negative values. Where would the y-intercept of the regression line be located on the y-axis?
7. Question: (CO 6) If there is a (-), or bar, above a variable, what does that indicate?
8. Question: (CO 6) Find the regression equation for the following data set
9. Question: (CO 6) A data set whose original x values ranged from 28 through 49 was used to generate a regression equation of ŷ = 2.9x – 34.7. Use the regression equation to predict the value of y when x=56.
10. Question: (CO 6) A data set whose original x values ranged from 241 through 290 was used to generate a regression equation of ŷ = -0.06x + 9.8. Use the regression equation to predict the value of y when x=240.
11. Question: (CO 6) A data set whose original x values ranged from 38 through 65 was used to general a regression equation of ŷ = -4.4x + 6. Use the regression equation to predict the value of y when x=55.
12. Question: (CO 6) If the linear correlation coefficient is 0.182, what is the value of the coefficient of determination?
13. Question: (CO 6) If the linear correlation coefficient is -0.677, what is the value of the coefficient of determination?
14. Question: (CO 6) If the coefficient of determination is 0.276, what percentage of the variation in the data about the regression line is explained?
15. Question: (CO 6) If the coefficient of determination is 0.798, what percentage of the variation in the data about the regression line is unexplained?
16. Question: (CO 6) A regression equation cannot have more than one.
17. (CO 6) The equation used to predict how tall a kitten will be as an adult is ŷ = 4.5 + 0.6×1 + 0.3×2, where x1 is the height of the sibling and x2 is the height of the Use this equation to predict the height of a kitten whose sibling is 41.3 inches tall and whose mother is 44.9 inches tall.
18. Question: (CO 6) The equation used to predict how many days it takes a 15-year-old to read the first Harry Potter book is ŷ = 1.5 + 2.82×1 – 1.04×2 days, where x1 is the weekly hours of other activities and x2 is the reading grade level. Use this equation to predict how many days it will take to read this book for someone with 8 weekly hours of other activities and a 10.9 reading grade level.

MATH 221 Week 7 Quiz: Statistics for Decision-Making (v1)
1. Question: (CO 4) From a random sample of 55 businesses, it is found that the mean time that employees spend on personal issues each week is 4.9 hours with a standard deviation of 0.35 hours. What is the 95% confidence interval for the amount of time spent on personal issues?
2. Question: (CO 4) If a confidence interval is given from 8.56 to 10.19 and the mean is known to … 9.375, what is the margin of error?
3. Question: (CO 4) If the population standard deviation of a sample increases without other changes, what is most likely to happen to the confidence interval?
4. Question: (CO 4) From a random sample of 41 teens, it is found that on average they spend 43.1 hours each week online with a population standard deviation of 5.91 hours. What is the 90% confidence interval for the amount of time they spend online each week?
5. Question: (CO 4) A company making refrigerators strives for the internal temperature to have a mean of 37.5 degrees with a population standard deviation of 0.6 degrees, based on samples of 100. A sample of 100 refrigerators has an average temperature of 37.70 degrees. Are the refrigerators within the 90% confidence interval?
6. Question: (CO 4) What is the 97% confidence interval for a sample of 104 soda cans that have a meaningful amount of 12.10 ounces and a population standard deviation of 0.08 ounces?
7. Question: (CO 4) Determine the minimum sample size required when you want to … 98% confident that the sample mean is within two units of the population mean. … a population standard deviation of 4.82 in a … population.
8. Question: (CO 4) Determine the minimum sample size required when you want to … 80% confident that the sample mean is within 1.3 units of the population mean. … a population standard deviation of 9.24 in a … population.
9. Question: (CO 4) Determine the minimum sample size required when you want to … 75% confident that the sample mean is within fifteen units of the population mean. … a population standard deviation of 327.8 in a … population
10. Question: (CO 4) In a sample of 8 high school students, they spent an average of 28.8 hours each week doing sports with a sample standard deviation of 3.2 hours. Find the 95% confidence interval, assuming the times are ….
11. Question: (CO 4) In a sample of 15 stuffed animals, you find that they weigh an average of 8.56 ounces with a sample standard deviation of 0.09 ounces. Find the 92% confidence interval, assuming the times are ….
12. Question: (CO 4) Market research indicates that a new product has the potential to make the company an additional \$3.8 million, with a standard deviation of \$1.9 million. If this estimate was based on a sample of 10 customers from a … data set, what would … the 90% confidence interval?
13. Question: (CO 4) Supplier claims that they are 95% confident that their products will … in the interval of 20.45 to 21.05. You take samples and find that the 95% confidence interval of what they are sending is 20.48 to 21.02. What conclusion can … made?
14. Question: (CO 4) In a sample of 15 small candles, the weight is found to … 3.72 ounces with a standard deviation of 0.963 ounces. What would … the 87% confidence interval for the size of the candles, assuming the data are …?
15. Question: (CO 4) In a situation where the population standard deviation was known rather than the sample standard deviation, what would … the impact on the confidence interval?
16. Question: (CO 5) A company claims that its heaters last less than 5 years. Write the null and alternative hypotheses and note which is the claim.
17. Question: (CO 5) An executive claim that her employees spend less than 2.5 hours each week in meetings. Write the null and alternative hypotheses and note which is the claim.
18. Question: (CO 5) In hypothesis testing, a key element in the structure of the hypotheses is that _____.
19. Question: (CO 5) A landscaping company claims that at least 90% of workers arrive on time. If a hypothesis test is performed that rejects the null hypothesis, how would this decision … interpreted?
20. Question: (CO 5) A textbook company claims that their book is so engaging that more than 55% of students read it. If a hypothesis test is performed that fails to reject the null hypothesis, how would this decision … interpret?
21. Question: (CO 5) An advocacy group claims that the mean braking distance of a certain type of tire is 75 feet when the car is going 40 miles per hour. In a test of 80 of these tires, the braking distance has a mean of 77 and a population standard deviation of 5.9 feet. Find the standardized test statistic and the corresponding p-value.
22. Question: (CO 5) The heights of 82 roller coasters have a mean of 280.7 feet and a population standard deviation of 59.3 feet. Find the standardized test statistics and the corresponding p-value when the claim is that roller coasters are less than 290 feet tall.
23. Question: (CO 5) A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 720 hours. A random sample of 51 light bulbs as a mean of 705.4 hours with a population standard deviation of 62 hours. At an α=0.05, can you support the company’s claim using the test statistic?
24. Question: (CO 5) A restaurant claims the customers receive their food in less than 16 minutes. A random sample of 39 customers finds a mean wait time for food to … 15.8 minutes with a population standard deviation of 4.1 minutes. At α = 0.04, can you support the organizations’ claim using the test statistic?
25. Question: (CO 5) A manufacturer claims that their calculators are 6.800 inches long. A random sample of 39 of their calculators finds they have a mean of 6.812 inches with a population standard deviation of 0.03 inches. At α=0.08, can you support the manufacturer’s claim using the p-value?
26. Question: (CO 5) A travel analyst claims that the mean room rates at a three-star hotel in Chicago are greater than \$152. In a random sample of 36 three-star hotel rooms in Chicago, the mean room rate is \$165 with a population standard deviation of \$41. At α=0.10, can you support the analyst’s claim using the p-value?
27. Question: (CO 5) A car company claims that the mean gas mileage for its luxury sedan is at least 24 miles per gallon. A random sample of 7 cars has a mean gas mileage of 23 miles per gallon and a standard deviation of 1.1 miles per gallon. At α=0.05, can you support the company’s claim assuming the population is …?
28. Question: (CO 5) A state Department of Transportation claims that the mean wait time for various services at its different locations is more than 6 minutes. A random sample of 16 services at different locations has a mean wait time of 9.5 minutes and a standard deviation of 7.6 minutes. At α=0.01, can the department’s claim … supported assuming the population is …?
29. Question: (CO 5) A … car dealer says that the mean price of a three-year-old sport utility vehicle in good condition is \$18,000. A random sample of 20 such vehicles has a mean price of \$18,450 and a standard deviation of \$1930. At α=0.08, can the dealer’s claim … support assuming the population is …?
30. Question: (CO 5) A researcher wants to determine if eating more vegetables helps high school juniors learn algebra. One junior class has extra vegetables and another junior class does not. After 2 weeks, the entire classes take an algebra test and the results of the two groups are compared. To … a valid matched pair test, what should the researcher consider in creating the two groups?

MATH-221 Week 7 Quiz: Statistics for Decision-Making (v2)
1. Question: (CO 4) From a random sample of 68 businesses, it is found that the mean time that employees spend on personal issues each week is 4.9 hours with a standard deviation of 0.35 hours. What is the 95% confidence interval for the amount of time spent on personal issues?
2. Question: (CO 4) If a confidence interval is given from 8.50 to 10.25 and the mean is known to … 9.375, what is the margin of error?
3. Question: (CO 4) If the population standard deviation of a sample increases without other changes, what is most likely to happen to the confidence interval?
4. Question: (CO 4) From a random sample of 41 teens, it is found that on average they spend 31.8 hours each week online with a population standard deviation of 5.91 hours. What is the 90% confidence interval for the amount of time they spend online each week?
5. Question: (CO 4) A company making refrigerators strives for the internal temperature to have a mean of 37.5 degrees with a population standard deviation of 0.6 degrees, based on samples of 100. A sample of 100 refrigerators has an average temperature of 37.70 degrees. Are the refrigerators within the 90% confidence interval?
6. Question: (CO 4) What is the 97% confidence interval for a sample of 104 soda cans that have a meaningful amount of 15.10 ounces and a population standard deviation of 0.08 ounces?
7. Question: (CO 4) Determine the minimum sample size required when you want to … 98% confident that the sample mean is within two units of the population mean. … a population standard deviation of 5.75 in a … population.
8. Question: (CO 4) Determine the minimum sample size required when you want to … 80% confident that the sample mean is within 1.5 units of the population mean. … a population standard deviation of 9.24 in a … population.
9. Question: (CO 4) Determine the minimum sample size required when you want to … 75% confident that the sample mean is within twenty units of the population mean. … a population standard deviation of 327.8 in a … population.
10. Question: (CO 4) In a sample of 8 high school students, they spent an average of 25.8 hours each week doing sports with a sample standard deviation of 3.2 hours. Find the 95% confidence interval, assuming the times are ….
11. Question: (CO 4) In a sample of 15 stuffed animals, you find that they weigh an average of 8.56 ounces with a sample standard deviation of 0.08 ounces. Find the 92% confidence interval, assuming the times are ….
12. Question: (CO 4) Market research indicates that a new product has the potential to make the company an additional \$3.8 million, with a standard deviation of \$1.6 million. If this estimate was based on a sample of 10 customers from a … data set, what would … the 90% confidence interval?
13. Question: (CO 4) Supplier claims that they are 95% confident that their products will … in the interval of 20.45 to 21.05. You take samples and find that the 95% confidence interval of what they are sending is 20.48 to 21.02. What conclusion can … made?
14. Question: (CO 4) In a sample of 18 small candles, the weight is found to … 3.72 ounces with a standard deviation of 0.963 ounces. What would … the 87% confidence interval for the size of the candles, assuming the data are …?
15. Question: (CO 4) In a situation where the population standard deviation was decreased from 5.8 to 3.1, what would … the impact on the confidence interval?
16. Question: (CO 5) A company claims that its heaters last more than 5 years. Write the null and alternative hypotheses and note which is the claim.
17. Question: (CO 5) An executive claim that her employees spend no less than 2.5 hours each week in meetings. Write the null and alternative hypotheses and note which is the claim.
18. Question: (CO 5) In hypothesis testing, a key element in the structure of the hypotheses is that the alternative hypothesis has the ________________________.
19. Question: (CO 5) A landscaping company claims that at least 90% of workers arrive on time. If a hypothesis test is performed that rejects the null hypothesis, how would this decision … interpreted?
20. Question: (CO 5) A textbook company claims that their book is so engaging that more than 55% of students read it. If a hypothesis test is performed that fails to reject the null hypothesis, how would this decision … interpret?
21. Question: (CO 5) An advocacy group claims that the mean braking distance of a certain type of tire is 75 feet when the car is going 40 miles per hour. In a test of 45 of these tires, the braking distance has a mean of 77 and a population standard deviation of 5.9 feet. Find the standardized test statistic and the corresponding p-value.
22. Question: (CO 5) The heights of 82 roller coasters have a mean of 280.7 feet and a population standard deviation of 59.3 feet. Find the standardized test statistics and the corresponding p-value when the claim is that roller coasters are less than 290 feet tall.
23. Question: (CO 5) A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 720 hours. A random sample of 51 light bulbs as a mean of 701.6 hours with a population standard deviation of 62 hours. At an α=0.05, can you support the company’s claim using the test statistic?
24. Question: (CO 5) A restaurant claims the customers receive their food in less than 16 minutes. A random sample of 39 customers finds a mean wait time for food to … 15.8 minutes with a population standard deviation of 0.7 minutes. At α = 0.04, can you support the organizations’ claim using the test statistic?
25. Question: (CO 5) A manufacturer claims that their calculators are 6.800 inches long. A random sample of 39 of their calculators finds they have a mean of 6.812 inches with a population standard deviation of 0.05 inches. At α=0.08, can you support the manufacturer’s claim using the p-value?
26. Question: (CO 5) A travel analyst claims that the mean room rates at a three-star hotel in Chicago is greater than \$152. In a random sample of 36 three-star hotel rooms in Chicago, the mean room rate is \$165 with a population standard deviation of \$41. At α=0.10, can you support the analyst’s claim using the p-value?
27. Question: (CO 5) A car company claims that the mean gas mileage for its luxury sedan is at least 24 miles per gallon. A random sample of 7 cars has a mean gas mileage of 23 miles per gallon and a standard deviation of 2.4 miles per gallon. At α=0.05, can you support the company’s claim assuming the population is …?
28. Question: (CO 5) A state Department of Transportation claims that the mean wait time for various services at its different locations is more than 6 minutes. A random sample of 16 services at different locations has a mean wait time of 9.5 minutes and a standard deviation of 7.3 minutes. At α=0.05, can the department’s claim … support assuming the population is …?
29. Question: (CO 5) A … car dealer says that the mean price of a three-year-old sport utility vehicle in good condition is \$18,000. A random sample of 20 such vehicles has a mean price of \$18,450 and a standard deviation of \$1930. At α=0.08, can the dealer’s claim … support assuming the population is …?
30. Question: (CO 5) A researcher wants to determine if daily talks together strengthen a marriage. One group of wives and one group of husbands are selected and have daily talks. After 2 weeks, all are asked if they felt their marriage was stronger based on the talks and the results of the two groups are compared. To … a valid matched pair test, what should the researcher consider in creating the two groups?

MATH 221 Week 7 Quiz: Statistics for Decision-Making (v3)
1. Question: (CO 4) From a random sample of 55 businesses, it is found that the mean time that employees spend on personal issues each week is 5.8 hours with a standard deviation of 0.35 hours. What is the 95% confidence interval for the amount of time spent on personal issues?
2. Question: (CO 4) If a confidence interval is given from 8.52 to 10.23 and the mean is known to … 9.375, what is the margin of error?
3. Question: (CO 4) Which of the following is most likely to lead to a small margin of error?
4. Question: (CO 4) From a random sample of 85 teens, it is found that on average they spend 31.8 hours each week online with a population standard deviation of 5.91 hours. What is the 90% confidence interval for the amount of time they spend online each week?
5. Question: (CO 4) A company making refrigerators strives for the internal temperature to have a mean of 37.5 degrees with a population standard deviation of 0.6 degrees, based on samples of 100. A sample of 100 refrigerators has an average temperature of 37.70 degrees. Are the refrigerators within the 90% confidence interval?
6. Question: (CO 4) What is the 97% confidence interval for a sample of 104 soda cans that have a meaningful amount of 12.05 ounces and a population standard deviation of 0.08 ounces?
7. Question: (CO 4) Determine the minimum sample size required when you want to … 98% confident that the sample mean is within two units of the population mean. … a population standard deviation of 5.75 in a … population.
8. Question: (CO 4) Determine the minimum sample size required when you want to … 80% confident that the sample mean is within 1.3 units of the population mean. … a population standard deviation of 9.24 in a … population
9. Question: (CO 4) Determine the minimum sample size required when you want to … 75% confident that the sample mean is within twenty-five units of the population mean. … a population standard deviation of 327.8 in a … population
10. Question: (CO 4) In a sample of 8 high school students, they spent an average of 28.8 hours each week doing sports with a sample standard deviation of 3.2 hours. Find the 95% confidence interval, assuming the times are ….
11. Question: (CO 4) In a sample of 15 stuffed animals, you find that they weigh an average of 8.56 ounces with a sample standard deviation of 0.07 ounces. Find the 92% confidence interval, assuming the times are …
12. Question: (CO 4) Market research indicates that a new product has the potential to make the company an additional \$3.8 million, with a standard deviation of \$1.9 million. If this estimate was based on a sample of 10 customers from a … data set, what would … the 90% confidence interval?
13. Question: (CO 4) Supplier claims that they are 95% confident that their products will … in the interval of 20.45 to 21.05. You take samples and find that the 95% confidence interval of what they are sending is 20.02 to 21.48. What conclusion can … made?
14. Question: (CO 4) In a sample of 18 small candles, the weight is found to … 3.72 ounces with a standard deviation of 0.963 ounces. What would … the 87% confidence interval for the size of the candles, assuming the data are …?
15. Question: (CO 4) In a situation where the population standard deviation was decreased from 5.8 to 3.1, what would … the impact on the confidence interval?
16. Question: (CO 5) A company claims that its heaters last at most 5 years. Write the null and alternative hypotheses and note which is the claim.
17. Question: (CO 5) An executive claim that her employees spend no less than 2.5 hours each week in meetings. Write the null and alternative hypotheses and note which is the claim.
18. Question: (CO 5) In hypothesis testing, a key element in the structure of the hypotheses is that the null hypothesis has the ________________________.
19. Question: (CO 5) A landscaping company claims that at most 90% of workers arrive on time. If a hypothesis test is performed that fails to reject the null hypothesis, how would this decision … interpret?
20. Question: (CO 5) A textbook company claims that their book is so engaging that more than 55% of students read it. If a hypothesis test is performed that fails to reject the null hypothesis, how would this decision … interpret?
21. Question: (CO 5) An advocacy group claims that the mean braking distance of a certain type of tire is 75 feet when the car is going 40 miles per hour. In a test of 45 of these tires, the braking distance has a mean of 77 and a population standard deviation of 5.9 feet. Find the standardized test statistic and the corresponding p-value.
22. Question: (CO 5) The heights of 82 roller coasters have a mean of 284.9 feet and a population standard deviation of 59.3 feet. Find the standardized test statistics and the corresponding p-value when the claim is that roller coasters are less than 290 feet tall.
23. Question: (CO 5) A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 720 hours. A random sample of 51 light bulbs as a mean of 705.4 hours with a population standard deviation of 62 hours. At an α=0.05, can you support the company’s claim using the test statistic?
24. Question: (CO 5) A restaurant claims the customers receive their food in less than 16 minutes. A random sample of 39 customers finds a mean wait time for food to … 15.8 minutes with a population standard deviation of 4.9 minutes. At α = 0.04, can you support the organizations’ claim using the test statistic?
25. Question: (CO 5) A manufacturer claims that their calculators are 6.800 inches long. A random sample of 39 of their calculators finds they have a mean of 6.810 inches with a population standard deviation of 0.05 inches. At α=0.08, can you support the manufacturer’s claim using the p-value?
26. Question: (CO 5) A travel analyst claims that the mean room rates at a three-star hotel in Chicago is greater than \$152. In a random sample of 36 three-star hotel rooms in Chicago, the mean room rate is \$159 with a population standard deviation of \$41. At α=0.10, can you support the analyst’s claim using the p-value?
27. Question: (CO 5) A car company claims that the mean gas mileage for its luxury sedan is at least 24 miles per gallon. A random sample of 7 cars has a mean gas mileage of 23 miles per gallon and a standard deviation of 1.2 miles per gallon. At α=0.05, can you support the company’s claim assuming the population is …?
28. Question: (CO 5) A state Department of Transportation claims that the mean wait time for various services at its different locations is more than 6 minutes. A random sample of 16 services at different locations has a mean wait time of 9.5 minutes and a standard deviation of 7.6 minutes. At α=0.05, can the department’s claim … support assuming the population is …?
29. Question: (CO 5) A … car dealer says that the mean price of a three-year-old sport utility vehicle in good condition is \$18,000. A random sample of 20 such vehicles has a mean price of \$18,450 and a standard deviation of \$1050. At α=0.08, can the dealer’s claim … support assuming the population is …?
30. Question: (CO 5) A researcher wants to determine if eating more vegetables helps high sc.

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