Question

In: Statistics and Probability

A food manufacturer claims that eating its new cereal as part of a daily diet lowers...

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

alphaαequals=0.050.05,

can you conclude that the new cereal lowers total blood cholesterol levels?

Before   After
two hundred    194
220   216
230   234
245   244
240   236
265   260
225   221

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

mu Subscript dμdequals=mu 1 minus mu 2μ1−μ2.

Calculate the standardized test statistic.

t=____

round to 3 decimal places if needed

Calculate the P-value.

p-value=___

round to 4 decimal places if it is needed

state the conclusion:

(Reject/fail to reject) H0. There (is/is not) sufficient evidence* to support the claim that the new cereal lowers total

blood cholesterol levels.

.16*

Expert Solution

orchestra answered 2 years ago

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