A sample was used to obtain a 95 confidence interval for the

A sample was used to obtain a 95% confidence interval for the population mean age of graduate students at a large university. The 95% confidence interval for was (23, 27). If the same sample had been used to test the null hypothesis that = 28, would the null hypothesis be recjected at a significance level of 0.05? Explain. (5 points)

Solution

Confidence Interval : (23,27)

= 28

Since , > Confidence Interval range , we are failed to reject null hypothesis.

Therefore,

No, we cannot tell from the information given.