In: Statistics and Probability
The table below shows pairs of body temperature at 8 AM and 12 AM. Use a 0.05 significance test the claim that the mean difference between body temperature measured at 8 AM and 12 AM is zero
8 AM |
96.6 |
97.0 |
97.0 |
97.8 |
97.0 |
97.4 |
96.6 |
Noon |
99.0 |
98.4 |
98.0 |
98.6 |
98.5 |
98.9 |
98.4 |
Critical Values: z0.005 = 2.575, z0.01 = 2.325, z0.025 = 1.96, z0.05 = 1.645
When d.f.=6: t0.005 = 3.707, t0.01 = 3.143, t0.025 = 2.447, t0.05 = 1.943
When d.f.=9: t0.005 = 3.250, t0.01 = 2.821, t0.025 = 2.262, t0.05 = 1.833
When d.f.=44: t0.005 = 2.690, t0.01 = 2.412, t0.025 = 2.014, t0.05 = 1.679
When d.f.=100: t0.005 = 2.625, t0.01 = 2.364, t0.025 = 1.984, t0.05 = 1.660