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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 more than 20 hours each week. 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 22.4 hours. the sample standard deviation of 3.7 hours.find the p -value. the p -value should be rounded to 4-decimal places.



Answer :

Dean halverson recently read that full-time college students study 20 hours each week. 0.000519 is the p -value.

How to find the p-value ?

Given :

Population mean, μ = 20

Sample mean, xbar = 22.4

Sample standard deviation, s = 3.7

Sample size, n = 31

The hypothesis :

H0 : μ = 20

H0 : μ > 20

The test statistic :

(xbar - μ) ÷ (s/√(n))

T = (22.4 - 20) ÷ (3.7/√(31))

T = 2.4*5.6 ÷ 3.7

Test statistic = 3.632

Using the Pvalue calculator :

df = n - 1 = 31 - 1 = 30

Pvalue(3.632, 30) = .000519.

The p-value is .000519.

The result is significant at p < .05

Learn more about pvalue calculator:

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