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 patientsbefore 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 normallydistributed. At a = 0.05, can you conclude that the new cereal lowers total blood cholesterol levels?PatientTotal Blood Cholesterol (Before)Total Blood Cholesterol (After)242455205230230240238265261235231200228235243Let 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 Ha = -H2. Choosethe correct answer below.O B. Ho: Hg #0O A. Ho: Ha s0HA: Ha >0HA: Ha =0OC. Ho: Hd =0HA: Ha #0O D. Ho: Ha 20HA: Hy 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 patientsbefore 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 normallydistributed. At a = 0.05, can you conclude that the new cereal lowers total blood cholesterol levels?PatientTotal Blood Cholesterol (Before)Total Blood Cholesterol (After)123245235205200230230240238265261228235243231Calculate 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.V Ho. ThereV sufficient evidence to support the claim that the new cereal lowers total blood cholesterol levels.Click to select your answer(s).2-24 PM見

Answered: Image /qna-images/answer/40cb8d7c-47d2-4785-9a08-f69ce8d4821d.jpgNull Hypothesis: H0:μd≤0Alternative Hypothesis: HA:μd>0 Hence, the correct option is a)Mean: x¯d=5+......+47=2 Standard deviation: s=5-22+......+(4-2)27-1=3.3166 The test statistic is given by, t=x¯d-0sd/n =2-03.3166/7t=1.595 Degrees of freedom = n -1 = 7 - 1 = 6 Using excel formula"=T.DIST.RT(1.595,6)", the p-value obtained is 0.0809 Since, p-value is greater than the level of significance 0.05, we fail to reject H0 There is no sufficient evidence to support the claim that the new cereal lowers total blood cholesterol level.

Math

Statistics

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 a = 0.05, can you conclude that the new cereal lowers total blood cholesterol levels? Patient Total Blood Cholesterol (Before) Total Blood Cholesterol (After) 3 4 5 6 7 205 200 230 230 245 243 240 238 265 261 235 228 235 231 Let the blood cholesterol level before eating the cereal be population 1. Let the blood cholesterol level after eating the cereal be population 2. ldentify the null and alternative hypotheses, where H = -2. Choose the correct answer below. O A. Ho: Ha s0 HA: Ha >0 O B. Ho: Ha #0 HA: Ha =0 OC. Ho: Ha =0 O D. Ho: Ha 20 HA: Ha <0 HA: Ha 0 Calculate the standardized test statistic. t D (Round to three decimal places as needed.) Click to select your answer(s).

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 a = 0.05, can you conclude that the new cereal lowers total blood cholesterol levels? Patient Total Blood Cholesterol (Before) Total Blood Cholesterol (After) 3 4 5 6 7 205 200 230 230 245 243 240 238 265 261 235 228 235 231 Let the blood cholesterol level before eating the cereal be population 1. Let the blood cholesterol level after eating the cereal be population 2. ldentify the null and alternative hypotheses, where H = -2. Choose the correct answer below. O A. Ho: Ha s0 HA: Ha >0 O B. Ho: Ha #0 HA: Ha =0 OC. Ho: Ha =0 O D. Ho: Ha 20 HA: Ha <0 HA: Ha 0 Calculate the standardized test statistic. t D (Round to three decimal places as needed.) Click to select your answer(s).

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

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 a = 0.05, can you conclude that the new cereal lowers total blood cholesterol levels?
Patient
Total Blood Cholesterol (Before)
Total Blood Cholesterol (After)
2
4
245
5
205
230
230
240
238
265
261
235
231
200
228
235
243
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 Ha = -H2. Choose
the correct answer below.
O B. Ho: Hg #0
O A. Ho: Ha s0
HA: Ha >0
HA: Ha =0
OC. Ho: Hd =0
HA: Ha #0
O D. Ho: Ha 20
HA: Hy <O
Calculate the standardized test statistic.
(Round to three decimal places as needed.)
Click to select your answer(s).

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