Use the following to answer questions 3 — 5 A researcher believes that college s

Question

Use the following to answer questions 3 — 5

A researcher believes that college students spend less timeparticipating in extra-curricular activities than they did tenyears ago. An SRS of 100 college students found that in thepast year the average number of hours spent per semester inextracurricular activities was mean = 107 hours, with standarddeviation s = 45hours. Assume the distribution of the number of hours spentby college students per semester participating in extracurricularactivities is approximately normal, with mean m. Are these data evidencethat m has loweredfrom the value of 120 hours of ten years ago? To determinethis, we test the hypotheses

                 H0: m = 120,Ha: m < 120.

3. Theappropriate degrees of freedom for this test are

      a. 45.

      b. 99.

      c. 100.

      d. 120.

4. Based onthe data, the value of the one-sample t statistic is

      a. 3.41.

      b. 2.89.

      c. 2.67.

      d. 2.38.

5. TheP-value for theone-sample t testis

      a. larger than 0.10.

      b. between 0.10 and 0.05.

      c. between 0.05 and 0.01.

      d. below 0.01.

Explanation / Answer

3. The appropriate degrees of freedom forthis test are b. 99. 4. Based on the data, the value of theone-sample t statistic is b. 2.89. 5. The P-value for the one-samplet test is d. below 0.01.

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