A Researcher Was Interested in Examining the Difference in the Number

question 10

Essay

A researcher was interested in examining the difference in the number of hours of sleep married women and single women get each night.Five married women and five single women reported their average number of hours of sleep per night for the last week.Shown below is software output for two possible tests for the data.
Paired t-test of μ(1-2)
Test Ho: μ(S - M)= 0 vs HA: μ(S - M)≠ 0
Mean of Paired Differences = 1.6 t-Statistic = 4 w/4 df
p = 0.0161
2-Sample t-Test of μ1 - μ2
Ho: μS - μM = 0 Ha: μS - μM ≠ 0
Test H0: μ(S)- μ(M)= 0 vs HA: μ(S)- μ(M)≠ 0
Difference Between Means = 1.6 t-Statistic = 1.8353 w/7.27 df
p = 0.1075
Which of these tests is appropriate for these data? Explain.Using the test you select,state your conclusion.