Problem #3: You are testing to see if vitamins improve overall health. You know that the average amount of health experienced by adults is 10 on a validated health scale that is normally distributed. You sample two of your friends to see if taking vitamins changes their health score. Here is their health score data: 9, 13 Please see if this sample is statistically different than the population using a one tailed test an alpha value of 0.01.
Please also calculate a measure of effect size and a 90% CI.
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