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?
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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answer for subpart iv) and v) only
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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