A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 24.1 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 22.1, 28.1, 28.1, 29.1, 26.1, 33.1, and 33.1 pounds. What is the sample mean and sample standard deviation? If = 0.05, what is the critical value? The population standard deviation is unknown. Test if the weight of newborns has increased. Your answer should clearly mention the following.

a) Write down the null and alternate hypothesis.

b) What is the critical value and the decision rule?

c) What is the test statistic?

d) What is the decision and interpretation of the same?