Question

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 a 0.05, can you conclude that the new cereal lowers total blood cholesterol levels? Patient 2 3 4 5 6 Total Blood Cholesterol (Before) 205 230 225 250 245 280 Total Blood Cholesterol (After) 202 225 230 244 240 257 222 1 7 225 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 Hd FH1-H2. Choose the correct answer below. OA. Ho Hd 50 HA: Hg > 0 Oc. Họ 20 НА: « < 0 B. Ho: Ha=0 Hai Moto O D. Ho: Moto HAMOO Calculate the standardized test statistic. (Round to three decimal places as needed.) Calculate the P-value P-value (Round to four decimal places as needed.) State the conclusion Click to select your answer(s)

Answer 1

Based on given information, abpropriate hypothesis are: Ho: Ma so HAid > 0 from the data, we we find difference of Before v after observations, which 3,5 -5, 6, 5, 3 x 3 Cet anerage of difference is a da Edit Std. Eldi-d)? 20 7 2.86 11 and deration is Sd nal s(di-2.862 3,67 7-1 test statistic t ca Sd/sh 2.86 3.67/17 = 2.062 P-vake is 0.0424 at df = - nal - 7.1=6 for one tail, since pevalue is less than the d=005 so we should reject Hoi conclude that the new total cholestrol lends. Cereal lower's