Part A Out of 3000 students in a School of Public Health, 1500 students defined

Question

Part A

Out of 3000 students in a School of Public Health, 1500 students defined themselves regular dietary supplement users. If you take a sample of 20 of them, what’s the standard error of the proportion (p) of those who defined themselves as dietary supplement users in the school?

Part B

Out of 3000 students in a School of Public Health, 1500 students defined themselves regular dietary supplement users. What would be the mean of the sampling distribution of the proportion of students who defined themselves as dietary supplement users in the school?

Question 1. Imagine the correlation between high school GPA and college GPA in a population was 0.37. Imagine we randomly select 200 people and obtained the correlation of 0.34. What’s the standard error of Z’ for N=200? (Answers should be numeric. Give your answer to at least 3 decimal places)

Question 2. Low-density lipoprotein (LDL) is an important part of the blood cholesterol test. The mean LDL for people 65 and older is 130 with a standard deviation of 12. The mean LDL for people under 40 is 100 with a standard deviation of 12. Consider the sampling distribution of the difference between means for these two populations where the sample size is 8 for both groups. If the difference is found by subtracting the mean LDL for the under 40 group from the mean LDL for the 65 and over group, then the mean of the sampling distribution of the difference between means is...

and the standard error of the difference between means is...

Explanation / Answer

p = 1500/3000 = 0.5
n = 20

Part A:
SE = sqrt(p*(1-p)/n)
= sqrt(0.5 * 0.5/20)
= 0.1118

Part B:
mean = np = 20*0.5 = 10

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