Question

Please do all parts.

2. You have gathered data from 25 students in TURB 225 to see how long it takes them to commute to the UWT campus. In your sample size of 25, you find the mean travel time to campus is 23 minutes, and the variance is 152. a. What is the sample standard deviation? (1 pt) b. What is the estimate of the standard error? (2 pt) c. In another sample of 25 students, the mean travel time is also 23 minutes, but the variance is 176. What does say about the difference between the samples? (1 pt) [Be sure to show all the steps needed to obtain values for standard deviation and standard error.]

Answer 1

Mean travel time to campus = $\bar x$ = 23 minutes

variance = s² = 152

sample size = n = 25

(a) Here sample standard deviation =sqrt(variance) = sqrt(152) = 12.3288

(b) EStimate of standard error =s/sqrt(n) = 152/sqrt (25) = 12.3288/sqrt(25) = 2.4658

(c0 Here the samples have same mean travel time but have different standard deviation. They may have been both from same population but second sample has more range and variance than the first sample.