Answered: A sample of 8 people participated in a…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.6: Counting Principles

Problem 58E: Forming an Experimental Group To conduct an experiment, researchers randomly select five students...

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A sample of 8 people participated in a low calorie weight loss program for 16 weeks. Each of the participants had their weight (in pounds) recorded before they started the program and after they finished the program. The following results were obtained.

At the 0.05 level of significance, test the claim that, on average, this 16 week low calorie weight loss program is effective? Assume that the amount of weight people lose after 16 weeks participating in this low calorie weight loss program reasonably follows a normal distribution.

Participant
2 3
7
8
Weight Before
187
243
168
203
159
215
230
196
Weight After
172
222
151
175
146
207
206
177

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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