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How to construct a 95% confidence interval if the sample mean is 100, the population standard deviation is 17.5 and the size of the sample is 40?

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Jesús
JesúsLv7
13 Mar 2021
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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

A simple random sample of size n is drawn from a population that is known to be normally distributed. The sample mean, x¯\bar{x}ˉ, is determined to be 104.3 and the sample standard deviation, s, is determined to be 15.9. (a) Construct the 90% confidence interval for the population mean if the sample size, n, is 15. (b) Construct the 90% confidence interval for the population mean if the sample size, n, is 25. How does increasing the sample size affect the width of the interval? (c) Construct the 95% confidence interval for the population mean if the sample size, n, is 15. Compare the results to those obtained in part (a). How does increasing the level of confidence affect the confidence interval? (d) Construct the 90% confidence interval for the population standard deviation if the sample size, n, is 15.

 

How do you construct a 95% confidence interval?
You work for a consumer advocate agency and want to find the mean repair cost of a washing machine. As part of your study, you randomly select 40 repair costs and find the mean to be $100. The sample standard deviation if $17.50. How do you construct a 95% confidence interval for the population mean repair cost?

a simple random sample of 60 items resulted in a sample mean of 80. The population standard deviation is  15.

  1. Compute the 95% confidence interval for the population mean.

  2. Assume that the same sample mean was obtained from a sample of 120 items. Provide

    a 95% confidence interval for the population mean.

  3. What is the effect of a larger sample size on the interval estimate?

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