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...

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

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

Choose the correct answer below.

Calculate the standardized test statistic.

​(Round to three decimal places as​ needed.)

Calculate the​ P-value.

​(Round to four decimal places as​ needed.)

State the conclusion.

There

sufficient evidence to support the claim that the new cereal lowers total blood cholesterol levels.