how do you do longhand

t test statistic and critical value(s)

A food manufacturer claims that eating its new cereal as part of a daily diet lowers total blood cholesterol levels. The table shows the total blood cholesterol levels (in milligrams per deciliter of blood) of seven patients before eating the cereal and after one year of eating the cereal as part of their diets. Use technology to test the mean difference. Assume the samples are random and dependent, and the population is normally distributed. At of= 0.05, can you conclude that the new cereal lowers total blood cholesterol levels? Patient 2 3 4 5 6 7 Total Blood Cholesterol (Before) 215 225 225 245 245 265 220 Total Blood Cholesterol (After) 209 221 230 244 243 26 218 Let the blood cholesterol level before eating the cereal be population 1. Let the blood cholesterol level after eating the cereal be population 2. Identify the null and alternative hypotheses, where . = 4 - ,. Choose the correct answer below. OA. HO: H.SO OB. H: Hy #0 HA : Ha >0 HA : Hy = 0 OC. H: H. 20 OD. H: Hy = 0 HA : Hd 0 HA : Hy # 0