5. The "Jupiter Bar" is a candy bar that is only manufactured and sold in one size. Tens of thousands of bars are manufactured every day. Nutritional content appears on the bar's wrapper, including a statement that a given bar has a sodium content of 96 milligrams. Due to variability inherent in all manufacturing, we know that some bars would have slightly less than 96 milligrams of sodium and some bars would have more than 96 milligrams of sodium even if the value of "96 milligrams" appears on the wrapper. However, there is a concern that the average sodium content in all Jupiter Bars is actually more than 96 milligrams, and we have been asked to investigate. (36 pts) Here are the summary statistics from a sample of 32 Jupiter Bars: n-32 Sample mean 97.2 Sample standard deviation=6.50 Min=88, Q1=97, median=103, Q3=108, Max=112 A) Sketch the boxplot for the data set: 88 98 104 112 sodiummeas(mg) B) Based on our analysis of our sample data, we are asked to perform a formal hypothesis test (test of significance) to examine if the average sodium content of all Jupiter Bars may actually be more than 96 milligrams. (a) State the null and alternative hypotheses using standard statistics symbols. (b) Based on the context of the question we are investigating and the nature of our sample data: i) Choose an appropriate test procedure and list that procedure here. ii) State any assumptions or conditions regarding your sample and or the population that are necessary for the test procedure you have chosen. iii) Compute the test statistic correct to 3 decimal places. iv) Compute the p-value based on both the test statistic and your hypotheses correct to 3 decimal places