Suppose we select a simple random sample of 100 applicants instead of the 30 originally considered....
Suppose we select a simple random sample of 100 applicants instead of the 30 originally considered. How do the probabilities of the sample mean being P(980 < xbar < 1000)P(980<xbar<1000) compare for both sample sizes
A. probability with n=30 is bigger
B. probability with n=30 is smaller
C. probability with n=30 is same
D. Impossible to tell
Homework Answers
Given that, sample size n1 = 100 and n2 = 30
Z-score is,
Therefore, z-score corresponds to sample of size 100 is greater than z-score corresponds to sample of size 30.
Therefore, P(980 < xbar < 1000) with n = 100 is greater than P(980 < xbar < 1000) with n = 30
Answer: B) probability with n = 30 is smaller.
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