Test whether the average Body Mass Index for the student pop

Test whether the average Body Mass Index for the student population where the student sample was drawn is less than 27, at 5% level of significance, using the sample data above. You must state null and alternative hypothesis, check normality assumption, report p-value, test statistic value, and draw a proper conclusion.

Null hypothesis:

Alternative hypothesis:

Report p-value from the normality test and conclusion:

Report p-value from the t-test and the conclusion:

Find the 95% confidence interval for estimating the average BMI for the sampled population.

Find the sample size so that one can have a 95% power to detect a BMI average that is one standard deviation from the mean, 27, (27 is the mean under the null hypothesis) at 5% level of significance.

Solution