A candy factory that produces chocolate bars claims each bar weighs 50 grams, at least that is what is printed on the label. Of course, there is bound to be a little variation. An inspector randomly chooses 16 bars from one day's output of 4000 bars. The average weight of the 16 bars is only 48.5 grams with an SD of 2 grams. The inspector wishes to test the null hypothesis that the factory is doing what it is supposed to on this day against the alternative that the company is cheating the consumer, by making smaller bars. You can assume that the weights follow the normal curveTest your hypothesis at the 5% signicance level. a) State your null hypothesis (HO) and alternative hypothesis (Ha). (2 pts) b Which signicance test should be used and why? (2 pts) c Compute the test statistic. (2 pts) ) l (:1) Calculate the p-value and what do you conclude? (2 pts) 6) Suppose now the alternative hypothesis is twosided. What is the pvalue and your conclusion? (2 pt) ) f Construct a 95% condence interval (CI) for the true bar weight. (2 pts)