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 1 Calculate the mean weight loss for the sample of 13 people (rounded off to four decimals) Question 2 Calculate the standard deviation for the weight loss data set (rounded off to four decimals). Question 3 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).
A psychologist has designed a psychotherapy programme for people suffering from obesity, and wanted to determine what the
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 1
Calculate the mean weight loss for the sample of 13 people (rounded off to four decimals)
Question 2
Calculate the standard deviation for the weight loss data set (rounded off to four decimals).
Question 3
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 4
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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