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The width of a confidence interval will be:
A) Narrower for 99% confidence than 95% confidence.
B) Wider for a sample size of 100 than for a sample size of 50.
C) Narrower for 90% confidence than 95% confidence.
D) Wider when the sample standard deviation (s) is small than when s is large.

 

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JCLv4
26 Feb 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 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?

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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