A psychologist has designed a psychotherapy programme for people suffering from obesity, and wanted to determine what the mean weight loss would be for a population of people with obesity following the programme. The weight loss in kilograms, of 13 people who suffered with obesity and participated in the programme were randomly selected and the results were as follows: 21.4 23.1 25.9 24.7 23.4 24.5 21.9 25.0 22.5 29.9 29.4 25.8 23.2 Question 15 Calculate and interpret a 90% confidence interval for the mean weight loss of the population of obese people following the programme (rounded off to two decimals).  Question 16 The psychologist claims that obese people participating in her psychotherapy programme will have an average weight loss more than 20.5 kilograms. Test the psychologist claim at a 1% level of significance (rounded off to two decimals).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
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A psychologist has designed a psychotherapy programme for people suffering from obesity, and wanted to determine what the mean weight loss would be for a population of people with obesity following the programme. The weight loss in kilograms, of 13 people who suffered with obesity and participated in the programme were randomly selected and the results were as follows:

21.4 23.1 25.9 24.7 23.4 24.5 21.9
25.0 22.5 29.9 29.4 25.8 23.2

Question 15
Calculate and interpret a 90% confidence interval for the mean weight loss of the population of obese people following the programme (rounded off to two decimals). 

Question 16
The psychologist claims that obese people participating in her psychotherapy programme will have an average weight loss more than 20.5 kilograms. Test the psychologist claim at a 1% level of significance (rounded off to two decimals).

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