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A dietician is interested in the effectiveness of 5 different diets as measured by mean weight loss. He randomly selects 20 clients who would like to lose weight and assigns 4 of them to each of the 5 diets. After 6 months, he compares the average weight loss among his clients. He computes the sum of squares treatments to be 23.37 and the sum of squares error to be 15.38. Given these statistics, what can the dietician conclude at the 5% significance level? Reject the null hypothesis. There is likely no difference in mean weight loss among the diets Do not reject the null hypothesis. There is likely a difference in mean weight loss among the diets Reject the null hypothesis. There is likely a difference in mean weight loss among the diets Do not reject the null hypothesis. There is likely no difference in mean weight Joss among the diets

A dietician is interested in the effectiveness of 5 different diets as measured by mean weight loss. He randomly selects 20 clients who would like to lose weight and assigns 4 of them to each of the 5 diets. After 6 months, he compares the average weight loss among his clients. He computes the sum of squares treatments to be 23.37 and the sum of squares error to be 15.38. Given these statistics, what can the dietician conclude at the 5% significance level? Reject the null hypothesis. There is likely no difference in mean weight loss among the diets Do not reject the null hypothesis. There is likely a difference in mean weight loss among the diets Reject the null hypothesis. There is likely a difference in mean weight loss among the diets Do not reject the null hypothesis. There is likely no difference in mean weight Joss among the diets

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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A dietician is interested in the effectiveness of 5 different diets as measured by mean weight loss. He randomly selects 20 clients who would like to lose weight and assigns 4 of them to each of the 5 diets. After 6 months, he compares the average weight loss among his clients. He computes the sum of squares treatments to be 23.37 and the sum of squares error to be 15.38. Given these statistics, what can the dietician conclude at the 5% significance level? Reject the null hypothesis. There is likely no difference in mean weight loss among the diets Do not reject the null hypothesis. There is likely a difference in mean weight loss among the diets Reject the null hypothesis. There is likely a difference in mean weight loss among the diets Do not reject the null hypothesis. There is likely no difference in mean weight loss among the diets
Transcribed Image Text:A dietician is interested in the effectiveness of 5 different diets as measured by mean weight loss. He randomly selects 20 clients who would like to lose weight and assigns 4 of them to each of the 5 diets. After 6 months, he compares the average weight loss among his clients. He computes the sum of squares treatments to be 23.37 and the sum of squares error to be 15.38. Given these statistics, what can the dietician conclude at the 5% significance level? Reject the null hypothesis. There is likely no difference in mean weight loss among the diets Do not reject the null hypothesis. There is likely a difference in mean weight loss among the diets Reject the null hypothesis. There is likely a difference in mean weight loss among the diets Do not reject the null hypothesis. There is likely no difference in mean weight loss among the diets
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