Answered: A random sample of 55 observations was…

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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4. A random sample of 55 observations was taken. The average in the sample was 103 with a variance of 500. a) Construct a 95% confidence interval for . b) Construct a 99% confidence interval for . c) Discuss why the 98% and 99% confidence intervals are different. d) What would happen to the confidence interval in part a. If the sample size was increased? Explain your answer?

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4. A random sample of 55 observations was
taken. The average in the sample was 103
with a variance of 500.
a. Construct a 95% confidence interval for u.
(2 marks)
b. Construct a 99% confidence interval for u.
(2 marks)
c. Discuss why the 98% and 99% confidence
intervals are different.
(1 mark)
d. What would happen to the confidence
interval in part a. if the sample size was
increased? Explain your answer.
(1 mark)
5. Statistically, it was believed that the final
examination had an average grade of 87.
To investigate further, 36 final examinations
were taken as a sample for the study
the sample, the average grade was i
be 83 96 wwhile havina a standard deviation
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