Med Student Sleep Average (Raw Data, Software
Required):
Here we consider a small study on the sleep habits of med students
and nonmed students. The study consists of the hours of sleep per
night obtained from 30 nonmed students and 25 med students. The
sample data is given in the table below. Test the claim that, on
average, the mean hours of sleep for all med students is different
from that for nonmed students. Test this claim at the 0.05
significance level.
(a) The claim states there is a difference between population means (μ_{1} − μ_{2} ≠ 0). What type of test is this? This is a twotailed test. This is a righttailed test. This is a lefttailed test. (b) Use software to calculate the test statistic. Do not 'pool' the variance. This means you do not assume equal variances. Round your answer to 2 decimal places. t = (c) Use software to get the Pvalue of the test statistic. Round to 4 decimal places. Pvalue = (d) What is the conclusion regarding the null hypothesis? reject H_{0} fail to reject H_{0} (e) Choose the appropriate concluding statement. The data supports the claim that, on average, the mean hours of sleep for all med students is different from that for nonmed students. There is not enough data to support the claim that, on average, the mean hours of sleep for all med students is different from that for nonmed students. We reject the claim that, on average, the mean hours of sleep for all med students is different from that for nonmed students. We have proven that, on average, the mean hours of sleep for all med students is different from that for nonmed students. 

The statistic software output for this problem is :
(a)
This is a twotailed test.
(b)
t = 2.11
(c)
Pvalue = 0.0393
(d)
reject H0
(e)
The data supports the claim that, on average, the mean hours of sleep for all med students is different from that for nonmed students.
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