Suppose Justin and Jennifer each takes a random sample, independently of one another, from the same population. Justin's sample size is 30, and Jennifer's sample size is 120. They are each interested in estimating the population mean, which means that each needs the standard error of the sample mean for their sample. Which of the following best describes the relationship between the two standard errors?

a. The standard error for Jennifer's sample will be exactly half the standard error for Justin's sample.

b. The standard error for Jennifer's sample will be close to half the standard error for Justin's sample, but the closeness will depend on the sample standard deviations that happen to be observed.

c. The standard error for Jennifer's sample will be greater than half the standard error for Justin's sample because the sample standard deviation is expected to be larger in Jennifer's sample.

d. The standard error for Jennifer's sample will be less than half the standard error for Justin's sample because the sample standard deviation is expected to be smaller in Jennifer's sample.

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Option B is correct Explanation The standard error for Jennif... View the full answer