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Questions 5 through 10: An automobile club comes to the aid of stranded motorists who are members. Over the long run, 5% of the members utilize this service in any 12-month period. A small town has 400 members of the club. Consider the 400 members to be representative of the larger club membership. Let the sample proportion be those who will utilize the service in a 12- month period. The towing service in town contracts with the club and comes to the aid of 28 members in the 12-month period. 5. What is the mean of the sampling distribution of one sample proportion? H₂ =p= (use 2 decimal places) 6. What is the standard deviation of the sampling distribution of one sample proportion? p(1-p) n 0₁ = 7. What is the sample proportion? (use 3 decimal places) p= n Use the Empirical Rule to find the values for Questions 8 and 9. In about 95% of all randomly selected samples of n = 400 club members, the proportion of members that will utilize the service in the coming 12-month period will be between (use 3 decimal places) 8. lower value = (μ-30) (μ-20) (μ-σ) 9. upper value= You can label the distribution if you desire but there are no points to labeling. (use 2 decimal places) (μ) (0) (μ + 0) (μ+20) (μ +30) 10. Is the sample proportion (from Question 7) a likely or unlikely value given the sampling distribution? a. Yes; It is a likely value for the sample proportion since it falls at/within μ ±20 b. No; It is an unlikely value for the sample proportion since it falls outside µ ± 20

Questions 5 through 10: An automobile club comes to the aid of stranded motorists who are members. Over the long run, 5% of the members utilize this service in any 12-month period. A small town has 400 members of the club. Consider the 400 members to be representative of the larger club membership. Let the sample proportion be those who will utilize the service in a 12- month period. The towing service in town contracts with the club and comes to the aid of 28 members in the 12-month period. 5. What is the mean of the sampling distribution of one sample proportion? H₂ =p= (use 2 decimal places) 6. What is the standard deviation of the sampling distribution of one sample proportion? p(1-p) n 0₁ = 7. What is the sample proportion? (use 3 decimal places) p= n Use the Empirical Rule to find the values for Questions 8 and 9. In about 95% of all randomly selected samples of n = 400 club members, the proportion of members that will utilize the service in the coming 12-month period will be between (use 3 decimal places) 8. lower value = (μ-30) (μ-20) (μ-σ) 9. upper value= You can label the distribution if you desire but there are no points to labeling. (use 2 decimal places) (μ) (0) (μ + 0) (μ+20) (μ +30) 10. Is the sample proportion (from Question 7) a likely or unlikely value given the sampling distribution? a. Yes; It is a likely value for the sample proportion since it falls at/within μ ±20 b. No; It is an unlikely value for the sample proportion since it falls outside µ ± 20

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Questions 5 through 10: An automobile club comes to the aid of stranded motorists who are members. Over the long run, 5% of the members utilize this service in any 12-month period. A small town has 400 members of the club. Consider the 400 members to be representative of the larger club membership. Let the sample proportion be those who will utilize the service in a 12- month period. The towing service in town contracts with the club and comes to the aid of 28 members in the 12-month period. 5. What is the mean of the sampling distribution of one sample proportion? H₁ = P = (use 2 decimal places) 6. What is the standard deviation of the sampling distribution of one sample proportion? p(1-P) n O. = = 7. What is the sample proportion? 8. lower value= p (μ-30) (μ-20) (μ (use 3 decimal places) Use the Empirical Rule to find the values for Questions 8 and 9. In about 95% of all randomly selected samples of n = 400 club members, the proportion of members that will utilize the service in the coming 12-month period will be between (use 3 decimal places) σ) X 9. upper value: You can label the distribution if you desire but there are no points to labeling. (use 2 decimal places) I (μ) (µ + σ) (µ + 20) (µ + 30) 10. Is the sample proportion (from Question 7) a likely or unlikely value given the sampling distribution? a. Yes; It is a likely value for the sample proportion since it falls at/within μ₁±20 b. No; It is an unlikely value for the sample proportion since it falls outside μ ±20%
Transcribed Image Text:Questions 5 through 10: An automobile club comes to the aid of stranded motorists who are members. Over the long run, 5% of the members utilize this service in any 12-month period. A small town has 400 members of the club. Consider the 400 members to be representative of the larger club membership. Let the sample proportion be those who will utilize the service in a 12- month period. The towing service in town contracts with the club and comes to the aid of 28 members in the 12-month period. 5. What is the mean of the sampling distribution of one sample proportion? H₁ = P = (use 2 decimal places) 6. What is the standard deviation of the sampling distribution of one sample proportion? p(1-P) n O. = = 7. What is the sample proportion? 8. lower value= p (μ-30) (μ-20) (μ (use 3 decimal places) Use the Empirical Rule to find the values for Questions 8 and 9. In about 95% of all randomly selected samples of n = 400 club members, the proportion of members that will utilize the service in the coming 12-month period will be between (use 3 decimal places) σ) X 9. upper value: You can label the distribution if you desire but there are no points to labeling. (use 2 decimal places) I (μ) (µ + σ) (µ + 20) (µ + 30) 10. Is the sample proportion (from Question 7) a likely or unlikely value given the sampling distribution? a. Yes; It is a likely value for the sample proportion since it falls at/within μ₁±20 b. No; It is an unlikely value for the sample proportion since it falls outside μ ±20%
INSTRUCTIONS: Determine your answers to the questions below before opening the link to submit on Blackboard. You may print out the assignment or use an electronic copy, but please keep a written record of your answers. You must submit your answers on Blackboard (Homework Assignments - Unit 2 HAS →→ HA08 One Categorical Variable & One Sample Part 1) for credit by the time and date listed above. You have two (2) 20-minute timed attempts. Questions 1 through 4: Suppose the probability is p = 0.25 that a person who purchases an instant lottery ticket wins money, and this probability holds for every ticket purchased. Consider different random samples of n = 64 purchased tickets. Let p= sample proportion of winning tickets in a sample of 64 tickets. 1. What is the mean of the sampling distribution of one sample proportion? H₂ =P = (use 2 decimal places) 2. What is the standard deviation of the sampling distribution of one sample proportion? p(1-P) %p n = (use 3 decimal places) Use the Empirical Rule to find the values for Questions 3 and 4. In about 95% of all randomly selected samples of n 64 instant lottery tickets, the proportion of tickets that will be money winners will be between (use 3 decimal places) 3. lower value = upper value = You can label the distribution if you desire but there are no points to labeling. (μ-30) (μ-20) (μ- σ) 4. (μ) + r) J) (μ+20) (µ + 30)
Transcribed Image Text:INSTRUCTIONS: Determine your answers to the questions below before opening the link to submit on Blackboard. You may print out the assignment or use an electronic copy, but please keep a written record of your answers. You must submit your answers on Blackboard (Homework Assignments - Unit 2 HAS →→ HA08 One Categorical Variable & One Sample Part 1) for credit by the time and date listed above. You have two (2) 20-minute timed attempts. Questions 1 through 4: Suppose the probability is p = 0.25 that a person who purchases an instant lottery ticket wins money, and this probability holds for every ticket purchased. Consider different random samples of n = 64 purchased tickets. Let p= sample proportion of winning tickets in a sample of 64 tickets. 1. What is the mean of the sampling distribution of one sample proportion? H₂ =P = (use 2 decimal places) 2. What is the standard deviation of the sampling distribution of one sample proportion? p(1-P) %p n = (use 3 decimal places) Use the Empirical Rule to find the values for Questions 3 and 4. In about 95% of all randomly selected samples of n 64 instant lottery tickets, the proportion of tickets that will be money winners will be between (use 3 decimal places) 3. lower value = upper value = You can label the distribution if you desire but there are no points to labeling. (μ-30) (μ-20) (μ- σ) 4. (μ) + r) J) (μ+20) (µ + 30)
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