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2. It is known that the amount of time needed to change the oil on a car is normally distributed with a standard deviation of 5 minutes. A random sample of 14 cars was taken and the time taken to change the oil are measured as in Table 1. Table 1 41 72 81 87 33 58 60 69 71 108 72 72 91 82 (i) Identify the variable involved. (ii) Find a 99% confidence interval for average time taken to change the oil on cars. Give comment on the parameter estimate. (iii) Identify the estimator used in (ii). (iv) Calculate the estimation error of the confidence interval in (ii). (v) What is the effect of estimation error calculated in (iv) if the sample size increases?

2. It is known that the amount of time needed to change the oil on a car is normally distributed with a standard deviation of 5 minutes. A random sample of 14 cars was taken and the time taken to change the oil are measured as in Table 1. Table 1 41 72 81 87 33 58 60 69 71 108 72 72 91 82 (i) Identify the variable involved. (ii) Find a 99% confidence interval for average time taken to change the oil on cars. Give comment on the parameter estimate. (iii) Identify the estimator used in (ii). (iv) Calculate the estimation error of the confidence interval in (ii). (v) What is the effect of estimation error calculated in (iv) if the sample size increases?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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answer for subpart iv) and v) only

2. It is known that the amount of time needed to change the oil on a car is normally distributed with a standard deviation of 5 minutes. A random sample of 14 cars was taken and the time taken to change the oil are measured as in Table 1. Table 1 41 72 81 87 33 58 60 69 71 108 72 72 91 82 (i) Identify the variable involved. (ii) Find a 99% confidence interval for average time taken to change the oil on cars. Give comment on the parameter estimate. (111) Identify the estimator used in (ii). (iv) Calculate the estimation eror of the confidence interval in (ii). (v) What is the effect of estimation error calculated in (iv) if the sample size increases?
Transcribed Image Text:2. It is known that the amount of time needed to change the oil on a car is normally distributed with a standard deviation of 5 minutes. A random sample of 14 cars was taken and the time taken to change the oil are measured as in Table 1. Table 1 41 72 81 87 33 58 60 69 71 108 72 72 91 82 (i) Identify the variable involved. (ii) Find a 99% confidence interval for average time taken to change the oil on cars. Give comment on the parameter estimate. (111) Identify the estimator used in (ii). (iv) Calculate the estimation eror of the confidence interval in (ii). (v) What is the effect of estimation error calculated in (iv) if the sample size increases?
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