Question
I NEED THE ANSWER TO: B) calculate the test statistic AND C) Calculate the P-value
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 populations are normally distributed. At alpha = 0.05, can you conclude that the new cereal lowers total blood cholesterol levels? 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 mud = mu1 - mu2 Choose the correct answer below. H0 : mu d 0 HA: mu d = 0 H0 : mu d = 0 HA: mu d 0 H0 : mu d 0 HA: mu d 0 Calculate the test statistic. t= (Round to three decimal places as needed.)
Explanation / Answer
Group Before After Mean 237.14 234.14 SD 14.68 15.61 SEM 5.55 5.90 N 7 7 standard error of difference = 1.464 The test statisitic is t=(xbar1-xbar2)/sd =(237.14-234.14)/1.464 = 2.04918
