Question: Given the following data: From Chart Total caloric intake (Kcal/day): Controls = Mean 1689.6 Standard deviation 560.4 sample size of control = 1846 Cases =

Given the following data:

From Chart Total caloric intake (Kcal/day):

Controls = Mean 1689.6 Standard deviation 560.4 sample size of control = 1846

Cases = Mean 2026.3 Standard deviation 534.0 sample size of cases = 923

Test statistic for the cases is = to 1.4906

Which gives a p value between 1.28 and 1.65

Greater than alpha of .05 meaning Fail to reject the null

Hypothesis:

Null hypothesis = Caloric intake = 2000 Kcal/day

Alternative Hypothesis = Caloric intake DOES NOT equal 2000 Kcal/day

This is a two-sided test

All assumptions are met

  1. Calculate the 95% CI's of total caloric intake separately for the cases and controls. What can be concluded about the statistical similarities of the two population means?

  1. Calculate the 95% CI of the difference of total caloric intake means between cases and controls. Provide an interpretation of the results. What can be concluded from this?

  1. Use an appropriate test to determine whether there is a significant difference in total caloric intake between cases and controls. Be sure to clearly state your hypotheses, test statistic, and appropriate conclusions.

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