12 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 eatingthe 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 youconclude that the new cereal lowers total blood cholesterol levels?234567Patient101205225230Total Blood Cholesterol (Before)245245270220203224232240Total Blood Cholesterol (After)242267215Let 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 = H₁ - H₂. Choose the correctanswer below.O A. Ho: Hd = 0O B. Ho Hd #0HA: Hd = 0HA Hd #0O C. Ho: Hd ≤0O D. Ho Hd 20HA Hd <0HA Hd>0Calculate the standardized test statistic.t=(Round to three decimal places as needed.)Calculate the P-value. Calculate the standardized test statistic.t=(Round to three decimal places as needed.)Calculate the P-value.P-value=(Round to four decimal places as needed.)State the conclusion.Ho. Theresufficient evidence to support the claim that the new cereal lowers total blood cholesterol levels.

Given: sample size n = 7 Significance level α = 0.05 Formula Used: Test-statistic t = dsdn

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 eatin 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? 1 Patient 2 4 5 6 Total Blood Cholesterol (Before) 205 225 230 245 245 270 220 215 Total Blood Cholesterol (After) 203 224 232 240 242 267 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 ₁-₂. Choose the correct answer below. O A. Ho: Hd = 0 OB. Ho Hd #0 HA: Hd=0 HA: Hd #0 OC. Ho: Ha 50 OD. Ho Hd 20 HA: Hd <0 HA: Hd>0 Calculate the standardized test statistic. (Round to three decimal places as needed.) Calculate the P-value.