A market researcher collects a simple random sample of customers from a populati

Question

A market researcher collects a simple random sample of customers from a population of over a million customers that use a home improvement website. After analyzing the sample, she states that she has 95% confidence that the meantime customers spent on that website per a day are between 19 and 52 minutes. Suppose that the population mean time customers spent on that website is 57 minutes a day. Does this value of the population mean help to show that the confidence interval estimate is correct? (Explain and pick one from below)

1. No, because the population mean, u is not the midpoint of the confidence interval estimate.

2. No, because the population mean,?, is not included within the confidence interval estimate.

3.Yes, because the population mean, ? is within 95% of the midpoint of the confidence interval estimate.

4 Yes, because the population mean,? is included within the confidence interval estimate

5. Yes because the population mean "u" is relatively close to, is relatively close to the confidence interval estimate

Explanation / Answer

The population mean time is given to be 57 which is higher than the upper confidence interval limit which is 52. This shows that the value 57 lies outside the 95% confidence interval for the mean time from the sample.

Therefore the value of the population mean does not help to show that the confidence interval estimate is correct as the value does not lie inside the interval. Therefore 2) is the correct answer here.

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