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. Atα=0.05,can you conclude that the new cereal lowers total blood cholesterol levels?Patient1234567 Total Blood Cholesterol (Before)215225235240255260225 Total Blood Cholesterol (After)214222240237254257222 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, whereμd=μ1−μ2.Choose the correct answer below. A.H0:μd≥0HA:μd<0 B.H0:μd=0HA:μd≠0 C.H0:μd≤0HA:μd>0 D.H0:μd≠0HA:μd=0Calculate 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.

First we have to calculate the differences in cholestrol for each patient i.e d = before - after

Answered: At α=0.05, can you conclude that the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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

α=0.05,

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

Patient	1	2	3	4	5	6	7
Total Blood Cholesterol (Before)	215	225	235	240	255	260	225
Total Blood Cholesterol (After)	214	222	240	237	254	257	222

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

μd=μ1−μ2.

Choose the correct answer below.

H0:

μd≥0

HA:

μd<0

H0:

μd=0

HA:

μd≠0

H0:

μd≤0

HA:

μd>0

H0:

μd≠0

HA:

μd=0

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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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