In the US, the population mean height for 3-yr-old boys is 38 inches. Suppose a random sample of 15 non-US 3-yr-old boys showed a sample mean of 37.2 inches with a standard deviation of 3 inches. Assume that the heights are normally distributed in the population. After conducting the hypothesis testing to determine whether the population mean for non-US boys is significantly different from the US population mean, we fail to reject the null hypothesis at 0.05 level.
If you were to construct a 95% confidence interval for the mean, do you expect to contain 38 inches in the interval?
a. Not contain.
Ans : b. Contain.
( we fail to reject the null hypothesis at 0.05 level. )
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