Med Student Sleep Average (Raw Data, Software
Required):
Here we consider a small study on the sleep habits of med students
and non-med students. The study consists of the hours of sleep per
night obtained from 30non-med 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 non-med students. Test this claim at the 0.01
significance level.
(a) The claim states there is a difference between population means (μ1 − μ2 ≠ 0). What type of test is this? This is a two-tailed test.This is a left-tailed test. This is a right-tailed 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 P-value of the test statistic. Round to 4 decimal places. P-value = (d) What is the conclusion regarding the null hypothesis? reject H0fail to reject H0 (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 non-med 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 non-med students. We reject the claim that, on average, the mean hours of sleep for all med students is different from that for non-med students.We have proven that, on average, the mean hours of sleep for all med students is different from that for non-med students. |
|
Two-Sample T-Test and CI: Non-Med, Med
Method
μ₁: mean of Non-Med |
µ₂: mean of Med |
Difference: μ₁ - µ₂ |
Equal variances are not assumed for this analysis.
Descriptive Statistics
Sample | N | Mean | StDev | SE Mean |
Non-Med | 30 | 6.38 | 1.53 | 0.28 |
Med | 25 | 5.53 | 1.37 | 0.27 |
Estimation for Difference
Difference | 95% CI for Difference |
0.851 | (0.066, 1.637) |
Test
Null hypothesis | H₀: μ₁ - µ₂ = 0 |
Alternative hypothesis | H₁: μ₁ - µ₂ ≠ 0 |
T-Value | DF | P-Value |
2.17 | 52 | 0.0173 |
(a)->This is a two-tailed test.
(b)-> t = 2.17
(c)-> P-value = 0.0173
(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 non- med students.
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