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.

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a. State the null and alternative hypotheses.

b. Compute the test statistic for the goodness of fit test.

c. At the 5% level of significance using the p-value approach, test the hypotheses. What do you conclude about the distribution?