The following table, reproduced from Exercise 13.26, gives information on the amount of sugar (in grams) and the calorie count in one serving of a sample of 13 varieties of Kellogg€™s cereal.

a. Make a 95% confidence interval for B. You can use the calculations made in Exercises 13.26 and 13.41 here.
b. It is well known that each additional gram of carbohydrate adds 4 calories. Sugar is one type of carbohydrate. Using regression equation for the data in the table, test at the 1% significance level whether B is different from 4.

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Sugar (grams 45 2 1 8 6 7 27 14 20 3 13 Calories 120 200 140 110 120 80 190 100 120 190 90 0 120