Two high schools have a similar number of students and parking lots of similar size. The safety officers at both schools want to investigate whether there is an average difference in the number of cars parked per day in the student parking lots for the school year. A random sample of 15 school days will be selected. For each selected day, the number of cars parked in the student parking lots will be counted at both schools and the difference will be recorded. Assuming all conditions for inference are met, which of the following is the appropriate test for the investigation?
a. A two-sample 2-test for a difference between proportions
b. A two-sample t-test for a difference between means
c. A matched-pairs t-test for a mean difference
d. A chi-square test of homogeneity
e. A chi-square test of independence

Based on the information given in the question and assuming all conditions for inference are met, the appropriate test for the investigation will be a matched-pairs t-test for a mean difference.

Since a matched-pairs t-test can be used to determine if a significant mean difference exist between two paired data, then this will be appropriate in this case since the safety officers at both schools want to know if there's an average difference in the number of cars parked per day in the student parking lots for the school year.

astha8579 astha8579 · Answer 2 · 2022-03-07T14:09:39+01:00

The appropriate test for the investigation of the given case is done by: Option C: A matched-pairs t-test for a mean difference

When to use the matched pair t test and when to use the t test?

When there has to be done comparison between means of two sets of paired data, then we use matched pair t test.

For the given case the investigation is to know whether there is an average difference in the number of cars parked per day in the student parking lots for the school year for both the schools in consideration.

So there are two data sets and comparison of their mean is to be done.

Thus, the appropriate test for the investigation of the given case is done by: Option C: A matched pairs t-test for a mean difference.

Learn more about matched pair t-test here:

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