SOLUTION: The margin of error in estimating the population mean of a normal population is E = 9.3 when the sample size is 15. If the sample size had been 25 and the sample standard deviation

Question 939440: The margin of error in estimating the population mean of a normal population is E = 9.3 when the sample size is 15. If the sample size had been 25 and the sample standard deviation did not change, would the margin of error be larger or smaller than 9.3?
A. Smaller. E increases as the square root of the sample size gets larger.
B. Smaller. E decreases as the square root of the sample size gets larger.
C. Larger. E decreases as the square root of the sample size gets larger.
D. Larger. E increases as the square root of the sample size gets larger.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
E = z(s/sqrt(n))
...
n from 15 to 25
...
B. Smaller. E decreases as the square root of the sample size gets larger.
RELATED QUESTIONS
A simple random sample from a normal distribution is taken in order to obtain a 95%... (answered by ewatrrr)

If you want to be 95% confident of estimating the population mean to within a sampling... (answered by ewatrrr)

A biologist reports a confidence interval of (3.1, 4.5) when estimating the mean height... (answered by stanbon)

A simple random sample of 40 items resulted in a sample mean of 25. The population... (answered by stanbon)

Calculate the 95% margin of error in estimating a population mean 𝜇 for the following... (answered by Theo)

4. A simple random sample of size n is drawn. The sample mean, x overbar, is... (answered by ikleyn)

The 90% confidence interval for a population mean is (1.2, 5.2). A. Then the... (answered by stanbon)

Why is population shape of concern when estimating a mean? What does sample size have to... (answered by stanbon)

Hello, need some help w/these few. Thanks again, you are awesome! T F 1. An estimate... (answered by stanbon)