Nutritional information provided by a fast food company claims that each small bag of potato wedges contains 6 ounces of food and 350 calories. A sample mean of 20 orders from the fast food company restaurants was 380 calories. (a) If the sample standard deviation was S = 60, is there sufficient evidence to indicate that the average number of calories in small bags of the fast food company potato wedges is greater than advertised? Test at the 5% level of significance. (b) Construct a 95% lower confidence bound for the true mean number of calories in small bags of the fast food company potato wedges. (c) On the basis of the bound you obtained in part(b), what would you conclude about the claim that the mean number of calories exceeds 350? How does your conclusion here compare with your conclusion in part (a) where you conducted a formal test of hypothesis