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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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