O The table below shows the weights of seven subjects before and after following aparticular diet for two months.SubjectAВ сDEFGBefore184200180154191151153194After177191178159177182Using a 0.01 level of significance, test the claim that the diet is effective in reducingweight.

Name: O The table below shows the weights of seven subjects before and afte
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Description: O The table below shows the weights of seven subjects before and after following aparticular diet for two months.SubjectAВ сDEFGBefore184200180154191151153194After177191178159177182Using a 0.01 level of significance, test the claim that the diet is

From the provided information, The difference table can be obtained as: di = Before - After 7 9 2 -5 14 -2 12 Sample size (n) = 7The mean and standard deviation of difference can be obtained as:The hypotheses are as follow: H0: µd = 0 H1: µd > 0 Level of significance (α) = 0.01 Since, the population standard deviation is unknown, therefore, the t distribution will be used. The value of the test statistic can be obtained as:The degree of freedom = n – 1 = 7 – 1 = 6 The critical value of t at 6 degree of freedom with 0.01 level of significance from the t value table is 3.1426. The test statistic value lies in the critical region therefore, the null hypothesis would reject and it can be concluded that there is sufficient evidence to support the claim that the diet is effective in reducing weight.

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Statistics

The table below shows the weights of seven subjects before and after following a particular diet for two months. Subject Before D 180 154 В A 184 E G 194 F 200 191 151 After 177 191 178 159 177 153 182 Using a 0.01 level of significance, test the claim that the diet is effective in reducing weight.

The table below shows the weights of seven subjects before and after following a particular diet for two months. Subject Before D 180 154 В A 184 E G 194 F 200 191 151 After 177 191 178 159 177 153 182 Using a 0.01 level of significance, test the claim that the diet is effective in reducing weight.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 11PT

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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Question

O The table below shows the weights of seven subjects before and after following a
particular diet for two months.
Subject
A
В с
D
E
F
G
Before
184
200
180
154
191
151
153
194
After
177
191
178
159
177
182
Using a 0.01 level of significance, test the claim that the diet is effective in reducing
weight.

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