Answer Happy

You may need to use the appropriate technology to answer this question. 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 23.133 days with a standard deviation of 4.769 days. 14 16 19 19 19 20 20 20 20 21 23 21 21 22 22 22 22 23 23 23 23 24 25 26 28 28 31 32 33 34 (a) State the null and alternative hypotheses. O Ho: The shelf life of apple juice is not normally distributed. H: The shelf life of apple juice is normally distributed. O Ho: The shelf life of apple juice is uniformly distributed. Ha: The shelf life of apple juice is not uniformly distributed. O Ho: The shelf life of apple juice is normally distributed. HThe shelf life of apple juice is not normally distributed. O Ho: The shelf life of apple juice is not uniformly distributed. H. The shelf life of apple juice is uniformly distributed. (b) Compute the test statistic for the goodness of fit test. (Divide the distribution into 6 equal intervals.) (c) At the 5% level of significance using the p-value approach, test the hypotheses. What is the p-value? (Round your answer to four decimal places.) p-value = What do you conclude about the distribution? O Do not reject Hg. We conclude that the shelf life of apple juice is not normally distributed. O Do not reject Ho. We cannot conclude that the shelf life of apple juice is not normally distributed. O Reject Ho. We cannot conclude that the shelf life of apple juice is not normally distributed. Reject Ho. We conclude that the shelf life of apple juice is not normally distributed.