5.21. The 2014 General Social Survey asked male re spondents how many female par

Question

5.21. The 2014 General Social Survey asked male re spondents how many female partners they have had sex with since their 18th birthday. For the 131 males in the sample between the ages of 23 and 29, the median 6 and mode = 1 (16.8% of the sample). Software summarizes other results: variabl e n Mean StDev SEMean 95.0% CI NUMWOMEN 131 10.53 15.36 1.34 (8.0, 13.1) (b lerpret (c) State a statistical factor that might make you skeptical about the usefulness of this confidence interval (a) Show how software got the standard error reported, and interpret. (b) Interpret the reported confidence interval

Explanation / Answer

The standard error is calculated as

StDev/sqrt(n) = 15.36/sqrt(131) = 1.34

b) The 95% Confidence interval means that we are 95% confident that the true value of the mean would lie in the interval 8 and 13.1

c)

As the interval is quite wide thus it means that the value can lie anywhere between 8 and 13.1 and the range is

13.1-8 = 5.1

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