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The 2006 General Social Survey contains information on the number of hours worked by a respondent...

The 2006 General Social Survey contains information on the number of hours worked by a respondent each week. The mean number of hours worked per week is 39.04, with a standard deviation of 11.51. The sample size is 83.

c. Say we increased the sample size to 10,000 and found the same mean and standard deviation. What would be the standard error?

d.If we increased the sample size to 10,000 what would be the 95% confidence interval for the mean number of hours worked per week?

e.Write a sentence answering: How does increasing the sample size affect the width of the confidence interval?

Math   Statistics-And-Probability   
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Answer #1

(c) standard error = 0.1151

(d) CI = (38.8144, 39.2656)

(e) width of the confidence interval decreases when sample size increases.

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