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Chapter 10: Q. 10.11 (page 587)

A study was conducted to investigate how effective a new diet was in lowering cholesterol. Results for the

randomly selected subjects are shown in the table. The differences have a normal distribution. Are the subjects’

cholesterol levels lower on average after the diet? Test at the 5%level.

SubjectABCDEFGHI
Before209210205198216217238240222
After199207189209217202211223201

Short Answer

Expert verified

There is sufficient evidence to conclude that the diet lowers cholesterol.

Step by step solution

01

Given information

Given the results for the randomly selected subjects. Test at 5%level.

02

Calculation

The null and alternative hypothesis are :

H0:μd=0Ha:μd<0

The significant level, α=5%=0.05.

The p-value is 0.0130, which is lower than the significant level, so we reject the null hypothesis.

Hence, there is sufficient evidence to conclude that the diet lowers cholesterol.

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