A manager believes that the shelf life of apple juice is normally distributed. A sample of 30 containers of juice was taken and the shelf life was recorded. You are given the results below. The average shelf life in the sample was 23.07 days with a standard deviation of 4.29 days.
a. State the null and alternative hypothesis.
b. Compute the test statistic for the goodness of fit test.
c. At 95% confidence using p-value approach, test the hypothesis. What do you conclude about the distribution?