Question

Dean Halverson recently read that full-time college students study 20 hours each week. She decides to do a study at her university to see if there is evidence that students study an average of less than 20 hours each week. A random sample of 34 students were asked to keep a diary of their activities over a period of several weeks. It was found that he average number of hours that the 34 students studied each week was 17.9 hours. The sample standard deviation of 4.6 hours.

Find the p-value.

Answer #1

*Null and Alternative Hypotheses*

The following null and alternative hypotheses need to be tested:

Ho: *μ* = 20

Ha: *μ* < 20

*Test Statistics*

The t-statistic is computed as follows:

*P-value*

df=n−1 = 34 - 1 = 33

*P*rob(t < -2.662) = 0.005954 (using software) (Ms
excel)

**=tdist(x,deg_freedom,tails) (tails = 1 one tail and
tails = 2 two ail)**

=TDIST(2.662,33,1)

+-X-HO_17.9 - 20 s/n 4.6/34

T-Test Results: t-stats = -2.662, p-value =0.006 40 .35 3.0 -25 -20 -15 -10 -0.5 0.0 0.5 10 15 20 25 30 35 40

Dean Halverson recently read that full-time college students
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Question 5
Dean Halverson recently read that full-time college students
study 20 hours each week. She decides to do a study at her
university to see if there is evidence to show that this is not
true at her university. A random sample of 31 students were asked
to keep a diary of their activities over a period of several weeks.
It was found that the average number of hours that the 31 students
studied each week was 18.9 hours....

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hours per week on academic activities, both inside and outside the
classroom. (Source: “A Challenge to Col- lege Students for 2013:
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huff.to/13dNtuT.) Assume the standard devia- tion of time spent on
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