Question

Listed below are body temperatures of four subjects measured at two different times in a day:...

Listed below are body temperatures of four subjects measured at two different times in a day: Body Temperature (°F) at 8 AM on Day 1 98 97.0 98.6 97.4 Body Temperature (°F) at 12 AM on Day 1 98 97.6 98.8 98.0 Assume that you want to use a 0.05 significance level to test the claim that the paired sample data come from a population for which the mean difference is . Find , , the test statistic and the critical values.

Homework Answers

Answer #1

ANS   H0: µd = 0
HA: µd is not equal to 0;

using minitab

Two-sample T for DAY1 vs DAY 2

N Mean StDev SE Mean
DAY1 4 97.750 0.700 0.35
DAY 2 4 98.100 0.503 0.25


Difference = μ (DAY1) - μ (DAY 2)
Estimate for difference: -0.350
95% CI for difference: (-1.458, 0.758)
T-Test of difference = 0 (vs ≠): T-Value = -0.81 P-Value = 0.454 DF =6 -1 = 5 ( one observation is same in both so we can delete because it has no effect on samples so total observations is 6 )

Reject Ho
because The P value of 0.454 is smaller than the significance level of 0.05

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