Question: 4) A researcher would like to construct a confidence interval around his sample's mean. A- Which confidence interval would be wider - a 90% confidence

4) A researcher would like to construct a confidence interval around his sample's mean.

A- Which confidence interval would be wider - a 90% confidence interval or a 95% confidence interval? Explain why. (8 points)

B- The researcher decides to construct a 95% confidence interval. What can he do to make the interval's width smaller?

5) A researcher collected data from a normally distributed population with =28 and an unknown population mean. The researcher used a sample the size of n=49 and got a mean of M=65. Construct a 95% confidence interval based on the researcher's data. What can you conclude about the population's mean based on this interval?

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