1 answer

Question 5 Dean Halverson recently read that full-time college students study 20 hours Type numbers in...

Question:

Question 5 Dean Halverson recently read that full-time college students study 20 hours Type numbers in the each week. She dec
Question 5 Dean Halverson recently read that full-time college students study 20 hours Type numbers in the each week. She decides to do a study at her university to see if there is boxes. evidence to show that this is not true at her university. A random sample of 32 to points 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 32 students studied each week was 19.1 hours. The sample standard deviation of 4.2 hours. Find the p-value. The p-value should be rounded to 4-decimal places.

Answers

Given that, sampe size (n) = 32, sample mean (\bar x) = 19.1 hours

and sample standard deviation (s) = 4.2 hours

The null and alternative hypotheses are,

H0 : μ = 20 hours

Ha : μ ≠ 20 hours

This test is two-tailed test.

Test statistic is,

t = \frac {\bar x -\mu}{\frac {s}{\sqrt n }} = \frac {19.1 -20}{\frac {4.2}{\sqrt {32}}} =-1.212

=> Test statistic = t = -1.212

Degrees of freedom = 32 - 1 = 31

Using Excel we find the p-value as follows :

Excel Command : =TDIST (1.212, 31, 2) = 0.2347

=> p-value = 0.2347

.

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