People who diet can expect to lose an average of 3kg in a month. In a book, the authors claim that people who follow a new diet will lose an average of less than 3kg in a month. The weight losses of the 180 people in a random sample who had followed the new diet for a month were noted. The mean was 2.7 kg and the standard deviation was 2.8kg.     Test the authors’ claim at the 5% significance level, stating your null and alternative hypotheses. please show step by step working.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 3GP
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People who diet can expect to lose an average of 3kg in a month. In a book, the authors

claim that people who follow a new diet will lose an average of less than 3kg in a month.

The weight losses of the 180 people in a random sample who had followed the new diet

for a month were noted. The mean was 2.7 kg and the standard deviation was 2.8kg.

 

 

Test the authors’ claim at the 5% significance level, stating your null and alternative

hypotheses. please show step by step working.

 

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