MATH 221 Week 3 Homework: Statistics for Decision-Making (Collection)

(MATH 221 Week 3 Homework)

MATH 221 Week 3 Homework: Statistics for Decision-Making (May 2021)

1. Question: Let x represent the height of first graders in a class. This would be considered what type of variable:
2. Question: Let x represent the height of corn in Oklahoma. This would be considered what type of variable:
3. Question: Consider the following table. If you … the probability distribution for these data, what would be the probability of 18-29?
4. Question: Consider the following table. Find the mean of this variable.
5. Question: Consider the following table. Find the variance of this variable.
6. Question: Consider the following Find the standard deviation of this variable.
7. Question: Fifteen golfers are randomly selected. The random variable represents the number of golfers who only play on the weekends. For this to be a binomial experiment, what assumption needs to be made?
8. Question: A survey found that 75% of all golfers play golf on the weekend. Eighteen golfers are randomly … The random variable represents the number of golfers that play on the weekends. What is the value of p?
9. Question: Thirty-five percent of US adults have little confidence in their cars. You randomly select ten US adults. Find the probability that the number of US adults who have little confidence in their cars is (1) exactly six and then find the probability that it is (2) more than 7.
10. Question: Eleven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 98.3% of all their baseballs have straight stitching. If exactly nine of the eleven have straight stitching, should the company stop the production line?
11. Question: A supplier must create metal rods that are 16.4 inches long to fit into the next step of production. Can a binomial experiment be used to determine the probability that the rods are too long, too short, or about right?
12. Question: In a box of 12 tape measures, there is one that does not work. Employees take tape measures as needed and returned after use. You are the 9th employee to take a tape measure. Is this a binomial experiment?
13. Question: Forty-two percent of employees make judgements about their co-workers … on the cleanliness of their desk. You randomly select 7 employees and ask them if they judge co- workers … 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?
14. Question: The probability of a potential employee passing a drug test is 86%. If you … 15 potential employees and gave them a drug test, how many would you expect to pass the test?
15. Question: Off the production line, there is a 2.2% chance that a candle is defective. If the company selected 40 candles off the line, what is the standard deviation of the number of defective candles in the group?
    

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MATH 221 Week 3 Homework: Statistics for Decision-Making (v1)

1. Question: Let x represent the number of pets in pet stores. This would … what type of variable:
2. Question: Let x represent the number of players on a sports field. This would … what type of variable?
3. Question: Consider the following table. If you created the probability distribution for these data, what would … the probability of 30-39?
4. Question: Consider the following table. Find the mean of this variable.
5. Question: Consider the following table. Find the variance of this variable.
6. Question: Consider the following table. Find the standard deviation of this variable.
7. Question: The standard deviation of video game A’s outcome is 1.8940, while the standard deviation of video game B’s outcome is 1.6179. Which game would you likely to chose if you wanted players to have the most choice and why?
8. Question: Ten frequent gamers are randomly … The random variable represents the number of frequent gamers who play video games on their smart phones. For this to … binomial experiment what assumption need to be made?
9. Question: A survey found that 31% of all teens buy soda (pop) at least once each week. Seven teens are randomly … The random variable … which represents number of teens who buy soda (pop) at least once each week. What is the value of n?
10. Question: Thirty-five% of US adults have little confidence in their cars. You randomly select five US adults. Find the probability that the number of US adults have little confidence in their cars is (1) exactly six and find the probability that it is (2) more than 7.
11. Question: Say a business found that 29.5% of customers in Washington prefer grey suits. The company chooses 8 customers in Washington and asks them if they prefer grey suits. What assumption … made for this study to follow the probabilities of a binomial experiment?
12. Question: Seven baseballs are randomly … from a production line to see if their stitching is straight. Over time the company has found that 89.4% of all baseballs have straight stitching. If exactly seven of five have straight stitching, should the company stop the production line?
13. Question: A soup company puts 20 ounces of soup in each can. The company has determined that 97% of the cans have correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of 24 cans has all cans that are properly filled?
14. Question: A supplier must create metal roads that are 2.1 inches width to fix into the next step of production. Can a binomial experiment … to determine the probability that the roads are too wide, too narrow or about right?
15. Question: In a box of 12 tape measures, there is one that does not work. Employees take tape measure as needed and returned after use. You are the 9^th employee to take a tape measure. Is this a binomial experiment?
16. Question: Eighty-two% of workers make judgments about their co-workers based on the cleanliness of their desk. You randomly select seven employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers on the cleanliness. Which outcome of this binomial experiment would … unusual?
17. Question: Ninety-one% of products come off the line within product specifications. Your quality control department selects 15 products 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?
18. Question: The probability of a potential employee passing a drug test is 90%. If you select 11 potential employees and gave them a drug test, how many would you expect to pass the test?
19. Question: The probability of a potential employee passing a training course is 86%. If you select 15 potential employees and gave them the training course, what is the probability that more than 11 will pass the test?
20. Question: Off the production line there is a 3.7% chance that a candle is defective. If the company … 45 candles off the line, what is the probability that fewer than 3 would … defective?
    

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MATH-221 Week 3 Homework: Statistics for Decision-Making (v2)

1. Question: Let x represent the number of cars in a parking lot. This would … what type of variable:
2. Question: Let x represent the number of players on a sports field. This would … what type of variable:
3. Question: Consider the following table. If you created the probability distribution for these data, what would … the probability of 18-29?
4. Question: Consider the following table. Find the mean of this variable.
5. Question: Consider the following table. Find the variance of this variable.
6. Question: Consider the following table. Find the standard deviation of this variable.
7. Question: The standard deviation of samples from supplier A is 0.4582, while the standard deviation of samples from supplier B is 0.3358. Which supplier would you … likely to choose based on these data and why?
8. Question: Ten frequent gamers are randomly … The random variable represents the number of frequent gamers who play video games on their smart phones. For this to … a binomial experiment, what assumption needs to … made?
9. Question: A survey found that 75% of all golfers play golf on the weekend. Eighteen golfers are randomly … The random variable represents the number of golfers that play on the weekends. What is the value of p?
10. Question: Forty-four percent of US adults have little confidence in their cars. You randomly select twelve US adults. Find the probability that the number of US adults who have little confidence in their cars is (1) exactly six and then find the probability that it is (2) more than 7.
11. Question: Say a business found that 45% of customers in Detroit, MI prefer green sweaters. The company chooses 8 customers in Austin, TX and asks them if they prefer green sweaters. What assumption must … made for this study to follow the probabilities of a binomial experiment?
12. Question: Eight baseballs are randomly … from the production line to see if their stitching is straight. Over time, the company has found that 93.8% of all their baseballs have straight stitching. If exactly six of the eight have straight stitching, should the company stop the production line?
13. Question: A soup company puts 12 ounces of soup in each can. The company has determined that 97% of cans have the correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of 36 cans has all cans that are properly filled?
14. Question: A supplier must create metal rods that are 2.3 inches width to fit into the next step of production. Can a binomial experiment … to determine the probability that the rods are the correct width or an incorrect width?
15. Question: In a box of 12 pens, there is one that does not work. Employees take pens as needed. The pens are not returned, once taken. You are the 5 employee to take a pen. Is this a binomial experiment?
16. Question: Eighty-two percent of employees make judgments about their coworkers based on the cleanliness of their desk. You randomly select 7 employees and ask them if they judge co-workers 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?
17. Question: Seventy-six percent of products come off the line within product specifications. Your quality control department selects 15 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?
18. Question: The probability of a potential employee passing a drug test is 86%. If you … 15 potential employees and gave them a drug test, how many would you expect to pass the test?
19. Question: The probability of a potential employee passing a training course is 86%. If you … 15 potential employees and gave them the training course, what is the probability that 12 or more will pass the test?
20. Question: Off the production line, there is a 3.7% chance that a candle is defective. If the company … 45 candles off the line, what is the probability that fewer than 3 would … defective?
    

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MATH 221 Week 3 Homework: Statistics for Decision-Making (v3)

1. Question: Let x represent the number of pets in pet stores. This would … considered what type of variable:
2. Question: Let x represent the height of corn in Oklahoma. This would … considered what type of variable:
3. Question: Consider the following table. If you created the probability distribution for these data, what would … the probability of 40-49?
4. Question: Consider the following table. Find the mean of this variable.
5. Question: Consider the following table. Find the variance of this variable.
6. Question: Consider the following table. Find the standard deviation of this variable.
7. Question: The standard deviation of samples from supplier A is 0.0841, while the standard deviation of samples from supplier B is 0.0926. Which supplier would you … likely to choose based on these data and why?
8. Question: Thirty-five percent of teens buy soda (pop) at least once each week. Eleven kids are randomly … The random variable represents the number of these kids who purchase soda (pop) at least once each week. For this to … a binomial experiment, what assumption needs to … made?
9. Question: A survey found that 39% of all gamers play video games on their smart phones. Ten frequent gamers are randomly … The random variable represents the number of frequent games who play video games on their smart phones. What is the value of n?
10. Question: Forty-four percent of US adults have little confidence in their cars. You randomly select twelve US adults. Find the probability that the number of US adults who have little confidence in their cars is (1) exactly six and then find the probability that it is (2) more than 7
11. Question: Say a business found that 98.3% of soda cans at a production facility in California are filled correctly. The company chooses 100 juice cans off the production line at that same facility. What assumption must … made for this study to follow the probabilities of a binomial experiment?
12. Question: Eleven baseballs are randomly … from the production line to see if their stitching is straight. Over time, the company has found that 87.6% of all their baseballs have straight stitching. If exactly seven of the eleven have straight stitching, should the company stop the production line?
13. Question: A bottling company puts 16 ounces of water bottle in each bottle. The company has determined that 94% of bottles have the correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of 12 cans has all cans that are properly filled?
14. Question: A supplier must create metal rods that are 16.4 inches long to fit into the next step of production. Can a binomial experiment … to determine the probability that the rods are too long, too short, or about right?
15. Question: In a box of 12 pens, there is one that does not work. Employees take pens as needed. The pens are not returned, once taken. You are the 5^th employee to take a pen. Is this a binomial experiment?
16. Question: Forty-two percent of employees make judgments about their co-workers based on the cleanliness of their desk. You randomly select 7 employees and ask them if they judge co-workers 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?
17. Question: Eighty-one percent of products come off the line within product specifications. Your quality control department selects 15 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?
18. Question: The probability of a potential employee passing a drug test is 86%. If you … 15 potential employees and gave them a drug test, how many would you expect to pass the test?
19. Question: The probability of a potential employee passing a training course is 86%. If you … 15 potential employees and gave them the training course, what is the probability that more than 11 will pass the test?
20. Question: Off the production line, there is a 3.7% chance that a candle is defective. If the company … 45 candles off the line, what is the probability that fewer than 3 would … defective?

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