The temperature of earth may be measured either by thermometers on the ground, w

Question

The temperature of earth may be measured either by thermometers on the ground, which is an accurate but tedious method, or by sensors mounted in a space satellite, which is a less accurate method. A study tests the theory that the satellite based method overestimates temperature. Researchers selected 16 sites and measured the dierence in temperature (in Fahrenheit) by both methods and found the mean dierence to be 0.3863. They also found that the average temperature is 56.3337 using satellite but only 55.9474 using ground based method. Assume all conditions are met.

t Test Satellite-Ground Assuming unequal variances Difference 0.38626 t Ratio 1.740943 Std Err Dif 0.22187 DF 29.33297 Upper CL Dif 0.83980 Prob It 0.0922 Lower CL Dif -0.06729 Prob t 0.0461* Confidence 0.95 Prob t 0.9539 0.8 -0A 0.0 0.2 0A 06 0.8 Figure 1: Independent Sample t-test Matched Pairs Difference: Satellite-Ground Satellite 56.3337 t-Ratio 1.703141 55.9474 DF 15 Ground Mean Difference 0.38626 Prob It 0.1092 0.22679 Prob t 0.0546 Std Error Upper 95% 0.86965 Prob t 0.9454 Lower 95% 0.0971 16 Correlation -0.0454 Figure 2: Matched pair t-test

Explanation / Answer

1) for hypothesis: option d is correct, as satellite >ground

2)as it is one tailed test : p value =0.0546

option d

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