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TABLE 10-6 To Investigate the Efficacy of a Diet, a Random Sample

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TABLE 10-6
To investigate the efficacy of a diet, a random sample of 16 male patients is selected from a population of adult males using the diet. The weight of each individual in the sample is taken at the start of the diet and at a medical follow-up 4 weeks later. Assuming that the population of differences in weight before versus after the diet follow a normal distribution, the t test for related samples can be used to determine if there was a significant decrease in the mean weight during this period. Suppose the mean decrease in weights over all 16 subjects in the study is 3.0 pounds with the standard deviation of differences computed as 6.0 pounds.
-Referring to Table 10-6, what is the 99% confidence interval estimate for the mean difference in weight before and after the diet?

Conduct and interpret linear regression analysis between two variables.
Differentiate between confidence intervals and prediction intervals in the context of regression analysis.
Conduct and interpret hypothesis tests for population slope and correlation coefficient in linear regression.
Calculate and interpret the Pearson correlation coefficient in the context of linear relationships.

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