Question

You are interested in information about the average commuting time of students on campus. You select a sample of 50 respondents and find a mean of 150 minutes per week with a standard deviation of 15 minutes.

a. Calculate the standard error of the mean with the above:
b. You decide to collect an entirely new sample of 180 people, that have the same mean and standard deviation. Calculate standard error of the mean:

Select one:

a. 21.2; 11.18

b. 2.12; 1.12

c. 7.07; 13.42

d. 50; 50

Answer 1

Given that sample size n = 50 , mean = 150 and standard deviation = 15

a) standard error of mean =  

standard error = 2.12

b) Given sample size is = 180 and mean = 150 and standard deviation = 15

standard error of mean =  

standard error = 1.12

So Answer is b) 2.12 , 1.12