You are interested in the weight gain of the College Freshman. You think that the average weight gain of the College Freshman student is not 15 pounds. You collect a random sample of measurements. The weight gains are (a negative value indicates a weight loss):
12.9, 7.1, 6.6, 12
You may assume for the following questions that the distribution of weight gain is normal.
1 State the appropriate hypothesis test: (a, b, or c)
a. H0: µ ≤ 15 versus Ha: µ > 15
b. H0: µ = 15 versus Ha: µ ≠ 15
c. H0: µ ≥ 15 versus Ha: µ < 15
2 Calculate the test statistic for the previous question.
Round your answer to the nearest 0.0001.
3 For the previous problem, the test statistic follows a t-distribution. The number of degrees of freedom is ?
4 The p-value for the test in the previous problem is ?
Round your answer to the nearest 0.0001.
5 For the previous question, should you reject the null hypothesis in favor of the alternative at significance level α = 0.01? (Yes or No)
6 Based on the result of the test, is the weight gain significantly different from 15 lbs
(Yes or No)