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question 3 as first year residential students get familiar with campus …

Question

question 3
as first year residential students get familiar with campus life, some students spend less time speaking with the residential advisor. suppose individual call time (in minutes) is measured in september and then later in december. the results are as shown:

studentaverage weekly call (sept)average weekly call (dec)
24745
34848
43833
54839

we wish to test whether there is a statistically significant decrease in individual call time.
given the design of the study and the question of interest, which one of the following statistics test is relevant to use?
a. paired t - test and ci: sept; dec
b. two - sample t - test and ci: sept; dec

Explanation:

Brief Explanations

The data consists of call - time measurements for the same group of students at two different times (September and December). A paired t - test is appropriate when we have paired or related observations, such as before - and - after measurements on the same subjects. Here, each student's September call time is paired with their December call time. A two - sample t - test is used for independent samples, which is not the case here.

Answer:

A. Paired t - test and CI: Sept; Dec