## Get Guided MATH 221 Week 5 Quiz Statistics for Decision-Making Collection

**MATH 221 Week 5 Quiz (May 2021)**

**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 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?**Question:**(CO 4) If a confidence interval is given from 8.52 to 10.23 and the mean is known to be 9.375, what is the maximum error?**Question:**(CO 4) Which of the following is most likely to lead to a small margin of error?**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?**Question:**(CO 4) A company making refrigerators strives for the internal temperature to have a mean of 37.5 degrees with a standard deviation of 0.6 degrees, … on samples of 100. A sample of 100 refrigerators have an average temperature of 37.70 degrees. Are the refrigerators within the 90% confidence interval?**Question:**(CO 4) What is the 97% confidence interval for a sample of 104 soda cans that have a mean amount of 12.05 ounces and a population standard deviation of 0.08 ounces?**Question:**(CO 4) Determine the minimum sample size … when you want to be 98% confident that the sample mean is within two units of the population mean. Assume a standard deviation of 8.98 in a normally distributed**Question:**(CO 4) Determine the minimum sample size … when you want to … 80% confident that the sample mean is within 1.3 units of the population Assume a standard deviation of 9.24 in a normally … population.**Question:**(CO 4) Determine the minimum sample size required when you want to be 75% confident that the sample mean is within thirty units of the population mean. Assume a standard deviation of 327.8 in a normally distributed population**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 standard deviation of 3.2 hours. Find the 95% confidence interval.**Question:**(CO 4) In a sample of 15 stuffed animals, you find that they weigh an average of 8.56 ounces with a standard deviation of 0.07 ounces. Find the 92% confidence interval.**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 … on a sample of 10 customers, what would … the 90% confidence interval be?**Question:**(CO 4) Supplier claims that they are 95% confident that their products will be 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 20.40 to 21.00. What conclusion can be made?**Question:**(CO 4) In a sample of 18 small candles, the weight is found to be 3.72 ounces with a standard deviation of 0.963 ounces. What would … the 87% confidence interval for the size of the candles be?**Question:**(CO 4) In a situation where the standard deviation was … from 3.1 to 5.8, what would be the impact on the confidence interval?**Question:**(CO 4) In a random sample of fourteen people, the mean time at lunch was 35.6 minutes with a standard deviation of 8.2 minutes. Assuming the data are normally …, what would … the 85% confidence interval be?**Question:**(CO 4) If a confidence interval is known to … (13.67, 17.53), what would … its margin of error be?**Question:**(CO 4) A company manufactures soda cans with a diameter of 52 millimeters. In a sample of 12 cans, the standard deviation was 2.3 millimeters. What would be the 96% confidence interval for these cans?

**MATH 221 Week 5 Quiz (v1)**

**Question:**(CO 3) Consider the following table. If you … the probability distribution for these data, what would … the probability of 60-69?**Question:**(CO 3) Consider the following table of hours worked by part-time employees. These employees must work in 5-hour blocks. Find the mean of this variable.**Question:**(CO 3) Consider the following table. Find the variance of this variable.**Question:**(CO 3) Consider the following table. Find the standard deviation of this variable.**Question:**(CO 3) Fifty-four percent of US teens have … of a fax machine. You randomly select 12 US teens. Find the probability that the number of these … teens that have heard of a fax machine is exactly six (first answer …). Find the probability that the number is more than 8 (second answer below).**Question:**(CO 3) Ten rugby balls are randomly … from the production line to see if their shape is correct. Over time, the company has found that 85.2% of all their rugby balls have the correct shape. If exactly 7 of the 10 have the right shape, should the company stop the production line?**Question:**(CO 3) A bottle of water is … to have 12 ounces. The bottling company has … that 98% of bottles have the correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of 36 bottles has all bottles properly filled?**Question:**(CO 3) On the production line the company … that 99.7% of products are made … You are responsible for quality control and take batches of 30 products from the line and test them. What number of the 30 … incorrectly made would cause you to shut down production?**Question:**(CO 3) The probability of someone ordering the daily special is 52%. If the restaurant expected 65 people for lunch, how many would you expect to order the daily special?**Question:**(CO 3) Sixty-five percent of employees make judgments about their co-workers based on the cleanliness of their desks. You randomly select 8 employees and ask them if they judge coworkers … on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would … unusual?**Question:**(CO 3) Seventy-nine percent of products come off the line ready to ship to distributors. Your quality control department selects 12 products randomly from the line each hour. Looking at the binomial distribution, if fewer than how many are within specifications would require that the production line … shut down (unusual) and repaired?**Question:**(CO 3) Out of each 100 products, 96 are ready for purchase by customers. If you … 27 products, what would … (mean) number that would … ready for purchase by customers?**Question:**(CO 3) Sixty-seven percent of adults have looked at their credit score in the past six months. If you select 31 customers, what is the probability that at least 25 of them have looked at their scores in the past six months?**Question:**(CO 3) One out of every 92 tax returns that a tax auditor examines requires an audit. If 50 returns are … at random, what is the probability that less than 5 will need an audit?**Question:**(CO 3) Thirty-eight percent of consumers prefer to purchase electronics online. You randomly select 16 consumers. Find the probability that the number who prefer to purchase electronics online is at most 5.**Question:**(CO 3) The speed of cars on a stretch of road is normally … with an average 51 miles per hour with a standard deviation of 5.9 miles per hour. What is the probability that a randomly … car is violating the speed limit of 50 miles per hour?**Question:**(CO 3) A survey indicates that shoppers spend an average of 22 minutes with a standard deviation of 8 minutes in your store and that these times are normally distributed. Find the probability that a randomly … shopper will spend less than 20 minutes in the store.**Question:**(CO 3) The monthly utility bills in a city are normally … with a mean of $121 and a standard deviation of $23. Find the probability that a random… utility bill is between $115 and $130.**Question:**(CO 3) A restaurant serves hot chocolate that has a mean temperature of 175 degrees with a standard deviation of 6.2 degrees. Find the probability that a randomly … cup of hot chocolate would have a temperature of fewer than 166 degrees. Would this outcome warrant a replacement cup (meaning that it would … unusual)?**Question:**(CO 3) The yearly amounts of carbon emissions from cars in Belgium are normally … with a mean of 13.9 gigagrams per year and a standard deviation of 5.8 gigagrams per year. Find the probability that the number of carbon emissions from cars in Belgium for a random… year is between 11.5 gigagrams and 14.0 gigagrams per year.**Question:**(CO 3) On average, the parts from a supplier have a mean of 97.5 inches and a standard deviation of 12.2 inches. Find the probability that a randomly … part from this supplier will have a value between 87.5 and 107.5 inches. Is this consistent with the Empirical Rule of 68%-95%-99.7%?**Question:**(CO 3) A process is normally … with a mean of 104 rotations per minute and a standard deviation of 8.2 rotations per minute. If a random… minute has 128 rotations per minute, would the process … in control or out of control?**Question:**(CO 3) The soup produced by a company has a salt level that is normally … with a mean of 5.4 grams and a standard deviation of 0.3 grams. The company takes readings of every 10th bar off the production line. The reading points are 5.8, 5.9, 4.9, 5.2, 5.0, 4.9, 6.2, 5.1, 5.3, and 6.7. Is the process in control or out of control and why?**Question:**(CO 3) The blenders produced by a company have a normal… life span with a mean of 8.2 years and a standard deviation of 1.3 years. What warranty should … so that the company is replacing at most 10% of their blenders sold?**Question:**(CO 3) A puck company wants to sponsor the players with the 10% quickest goals in hockey games. The times of the first goals are normally … with a mean of 8.54 minutes and a standard deviation of 4.91 minutes. How fast would a player need to make a goal to … by the puck company?**Question:**(CO 3) A stock’s price fluctuations are approximately normally distributed with a mean of $104.50 and a standard deviation of $23.62. You decide to purchase whenever the price reaches its lowest 15% of value. What are the most you would … willing to pay for the stock?**Question:**(CO 3) The times that customers spend in a bookstore are normally … with a mean of 39.5 minutes and a standard deviation of 9.4 minutes. A random sample of 25 customers has a mean of 36.1 minutes or less. Would this outcome … unusual, so the store should reconsider its displays?**Question:**(CO 3) The weights of ice cream cartons are normally distributed with a mean weight of 20 ounces and a standard deviation of 0.3 ounces. You randomly … 40 cartons. What is the probability that their mean weight is greater than 20.06 ounces?**Question:**(CO 3) Recent test scores on the Law School Admission Test (LSAT) are normally … with a mean of 162.4 and a standard deviation of 15.9. What is the probability that the mean of 8 randomly … scores is less than 161?**Question:**(CO 3) The mean annual salary for intermediate-level executives is about $74000 per year with a standard deviation of $2000. A random sample of 36 intermediate-level executives is … What is the probability that the mean annual salary of the sample is between $71000 and $73500?

**MATH-221 Week 5 Quiz (v2)**

**Question:**(CO 3) Consider the following table. If you … the probability distribution for these data, what would … the probability of 40-49?**Question:**(CO 3) Consider the following table of hours worked by part-time employees. These employees must work in 5-hour blocks. Find the mean of this variable.**Question:**(CO 3) Consider the following table. Find the variance of this variable.**Question:**(CO 3) Consider the following table. Find the standard deviation of this variable.**Question:**(CO 3) Fifty-four percent of US teens have heard of a fax machine. You randomly select 12 US teens. Find the probability that the number of these … teens that have heard of a fax machine is exactly six (first answer listed below). Find the probability that the number is more than 8 (second answer below).**Question:**(CO 3) Ten rugby balls are randomly … from the production line to see if their shape is correct. Over time, the company has found that 85.2% of all their rugby balls have the correct shape. If exactly 7 of the 10 have the right shape, should the company stop the production line?**Question:**(CO 3) A bottle of water is … to have 12 ounces. The bottling company has … that 98% of bottles have the correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of 36 bottles has all bottles properly filled?**Question:**(CO 3) On the production line the company finds that 90.2% of products are made correctly. You are responsible for quality control and take batches of 30 products from the line and test them. What number of the 30 being incorrectly made would cause you to shut down production?**Question:**(CO 3) The probability of someone ordering the daily special is 52%. If the restaurant … 105 people for lunch, how many would you expect to order the daily special?**Question:**(CO 3) Sixty-five percent of employees make judgments about their co-workers based on the cleanliness of their desks. You randomly select 8 employees and ask them if they judge coworkers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would … unusual?**Question:**(CO 3) Sixty-five percent of products come off the line ready to ship to distributors. Your quality control department selects 12 products randomly from the line each hour. Looking at the binomial distribution, if fewer than how many are within specifications would require that the production line … (unusual) and repaired?**Question:**(CO 3) Out of each 100 products, 93 are ready for purchase by customers. If you … 27 products, what would … the expected (mean) number that would … ready for purchase by customers?**Question:**(CO 3) Sixty-seven percent of adults have … at their credit score in the past six months. If you select 31 customers, what is the probability that at least 20 of them have … at their score in the past six months?**Question:**(CO 3) One out of every 92 tax returns that a tax auditor examines requires an audit. If 50 returns are … at random, what is the probability that less than 2 will need an audit?**Question:**(CO 3) Thirty-eight percent of consumers prefer to purchase electronics online. You randomly select 16 consumers. Find the probability that the number who prefer to purchase electronics online is at most 4.**Question:**(CO 3) The speed of cars on a stretch of road is … with an average 40 miles per hour with a standard deviation of 5.9 miles per hour. What is the probability that a randomly … car is violating the speed limit of 50 miles per hour?**Question:**(CO 3) A survey indicates that shoppers spend an average of 26 minutes with a standard deviation of 16 minutes in your store and that these times are … Find the probability that a randomly … shopper will spend less than 20 minutes in the store.**Question:**(CO 3) The monthly utility bills in a city are … with a mean of $121 and a standard deviation of $23. Find the probability that a random… utility bill is between $115 and $130.**Question:**(CO 3) A restaurant serves hot chocolate that has a mean temperature of 175 degrees with a standard deviation of 8.1 degrees. Find the probability that a randomly … cup of hot chocolate would have a temperature of fewer than 164 degrees. Would this outcome warrant a replacement cup (meaning that it would … unusual)?**Question:**(CO 3) The yearly amounts of carbon emissions from cars in Belgium are normally … with a mean of 13.9 gigagrams per year and a standard deviation of 3.5 gigagrams per year. Find the probability that the number of carbon emissions from cars in Belgium for a random… year is between 11.5 gigagrams and 14.0 gigagrams per year.**Question:**(CO 3) On average, the parts from a supplier have a mean of 97.5 inches and a standard deviation of 6.1 inches. Find the probability that a randomly … part from this supplier will have a value between 85.3 and 109.7 inches. Is this consistent with the Empirical Rule of 68%-95%-99.7%?**Question:**(CO 3) A process is normally … with a mean of 104 rotations per minute and a standard deviation of 8.2 rotations per minute. If a random… minute has 128 rotations per minute, would the process … in control or out of control?**Question:**(CO 3) The soup produced by a company has a salt level that is … with a mean of 5.4 grams and a standard deviation of 0.3 grams. The company takes readings of every 10th bar off the production line. The reading points are 5.8, 5.9, 4.9, 5.2, 5.0, 4.9, 6.2, 5.1, 5.3, and 6.7. Is the process in control or out of control and why?**Question:**(CO 3) The blenders produced by a company have a … life span with a mean of 8.2 years and a standard deviation of 2.9 years. What warranty should … so that the company is replacing at most 6% of their blenders sold?**Question:**(CO 3) A puck company wants to sponsor the players with the 10% quickest goals in hockey games. The times of the first goals are normally … with a mean of 12.56 minutes and a standard deviation of 4.91 minutes. How fast would a player need to make a goal to … by the puck company?**Question:**(CO 3) A stock’s price fluctuations are approximately … with a mean of $104.50 and a standard deviation of $23.62. You decide to purchase whenever the price reaches its lowest 20% of value. What are the most you would … willing to pay for the stock?**Question:**(CO 3) The times that customers spend in a bookstore are … with a mean of 39.5 minutes and a standard deviation of 9.4 minutes. A random sample of 25 customers has a mean of 36.1 minutes or less. Would this outcome … unusual, so the store should reconsider its displays?**Question:**(CO 3) The weights of ice cream cartons are … with a mean weight of 20.1 ounces and a standard deviation of 0.3 ounces. You randomly select 25 cartons. What is the probability that their mean weight is greater than 20.06 ounces?**Question:**(CO 3) Recent test scores on the Law School Admission Test (LSAT) are … with a mean of 162.4 and a standard deviation of 10.7. What is the probability that the mean of 8 randomly … scores is less than 161?**Question:**(CO 3) The mean annual salary for intermediate-level executives is about $74000 per year with a standard deviation of $2500. A random sample of 36 intermediate-level executives is … What is the probability that the mean annual salary of the sample is between $71000 and $74000?

**MATH 221 Week 5 Quiz (v3)**

**Question:**(CO 3) Consider the following table. If you … the probability distribution for these data, what would … the probability of 30-39?**Question:**(CO 3) Consider the following table of hours worked by part-time employees. These employees must work in 5-hour blocks. Find the mean of this variable.**Question:**(CO 3) Consider the following table. Find the variance of this variable.**Question:**(CO 3) Consider the following table. Find the standard deviation of this variable.**Question:**(CO 3) Twenty-two percent of US teens have heard of a fax machine. You randomly select 12 US teens. Find the probability that the number of these … teens that have heard of a fax machine is exactly six (first answer listed below). Find the probability that the number is more than 8 (second answer below).**Question:**(CO 3) Ten rugby balls are randomly … from the production line to see if their shape is correct. Over time, the company has found that 89.4% of all their rugby balls have the correct shape. If exactly 7 of the 10 have the right shape, should the company stop the production line?**Question:**(CO 3) A bottle of water is … to have 20 ounces. The bottling company has … that 98% of bottles have the correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of 36 bottles has all bottles properly filled?**Question:**(CO 3) On the production line the company finds that 90.2% of products are made correctly. You are responsible for quality control and take batches of 30 products from the line and test them. What number of the 30 being incorrectly made would cause you to shut down production?**Question:**(CO 3) The probability of someone ordering the daily special is 71%. If the restaurant … 65 people for lunch, how many would you expect to order the daily special?**Question:**(CO 3) Seventy-five percent of employees make judgments about their co-workers … on the cleanliness of their desks. You randomly select 8 employees and ask them if they judge coworkers … on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would … unusual?**Question:**(CO 3) Eighty-four percent of products come off the line ready to ship to distributors. Your quality control department selects 12 products randomly from the line each hour. Looking at the binomial distribution, if fewer than how many are within specifications would require that the production line … (unusual) and repaired?**Question:**(CO 3) Out of each 100 products, 96 are ready for purchase by customers. If you … 27 products, what would … the expected (mean) number that would … ready for purchase by customers?**Question:**(CO 3) Sixty-seven percent of adults have … at their credit score in the past six months. If you select 29 customers, what is the probability that at least 25 of them have looked at their scores in the past six months?**Question:**(CO 3) One out of every 92 tax returns that a tax auditor examines requires an audit. If 50 returns are … at random, what is the probability that less than 2 will need an audit?**Question:**(CO 3) Thirty-eight percent of consumers prefer to purchase electronics online. You randomly select 16 consumers. Find the probability that the number who prefer to purchase electronics online is at most 4.**Question:**(CO 3) The speed of cars on a stretch of road is normally … with an average 51 miles per hour with a standard deviation of 5.9 miles per hour. What is the probability that a randomly … car is violating the speed limit of 50 miles per hour?**Question:**(CO 3) A survey indicates that shoppers spend an average of 22 minutes with a standard deviation of 16 minutes in your store and that these times are normally distributed. Find the probability that a randomly … shopper will spend less than 20 minutes in the store.**Question:**(CO 3) The monthly utility bills in a city are normally … with a mean of $121 and a standard deviation of $23. Find the probability that a random… utility bill is between $115 and $130.**Question:**(CO 3) A restaurant serves hot chocolate that has a mean temperature of 175 degrees with a standard deviation of 8.1 degrees. Find the probability that a randomly … cup of hot chocolate would have a temperature of fewer than 161 degrees. Would this outcome warrant a replacement cup (meaning that it would … unusual)?**Question:**(CO 3) The yearly amounts of carbon emissions from cars in Belgium are normally … with a mean of 13.9 gigagrams per year and a standard deviation of 9.2 gigagrams per year. Find the probability that the number of carbon emissions from cars in Belgium for a random… year is between 12.8 gigagrams and 14.0 gigagrams per year.**Question:**(CO 3) On average, the parts from a supplier have a mean of 97.5 inches and a standard deviation of 6.1 inches. Find the probability that a randomly … part from this supplier will have a value between 87.5 and 107.5 inches. Is this consistent with the Empirical Rule of 68%-95%-99.7%?**Question:**(CO 3) A process is normally distributed with a mean of 104 rotations per minute and a standard deviation of 8.2 rotations per minute. If a random… minute has 128 rotations per minute, would the process … in control or out of control?**Question:**(CO 3) The soup produced by a company has a salt level that is normally distributed with a mean of 5.4 grams and a standard deviation of 0.3 grams. The company takes readings of every 10th bar off the production line. The reading points are 5.8, 5.9, 4.9, 5.7, 5.0, 4.9, 5.5, 5.1, 5.7, and 6.1. Is the process in control or out of control and why?**Question:**(CO 3) The blenders … by a company have a … life span with a mean of 8.2 years and a standard deviation of 0.8 years. What warranty should … so that the company is replacing at most 6% of their blenders sold?**Question:**(CO 3) A puck company wants to sponsor the players with the 10% quickest goals in hockey games. The times of the first goals are normally … with a mean of 12.56 minutes and a standard deviation of 4.91 minutes. How fast would a player need to make a goal to … sponsored by the puck company?

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