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?