SOLUTION: 1. According to the data provided, we want to know if the average weekly nurses' floor was higher than the primary school teachers. To investigate the above, they collected the fol

Question 1080850: 1. According to the data provided, we want to know if the average weekly nurses' floor was higher than the primary school teachers. To investigate the above, they collected the following sample information.
School teachers ($): 845, 826, 827, 875, 784, 809, 802, 820, 829, 830, 842, 832.
Nurses ($): 841, 890, 821, 771, 850, 859, 825, 829.
Is it reasonable to conclude that nurses' average weekly salary is higher? Use the significance level 0.01, What is the value of p?
to. Is this a one-tailed or two-tailed test?
B. Set the decision rule
C. Calculate the value of the test statistic
D. What is your decision regarding the null hypothesis?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
This is a one-tailed test, because there is a direction to the question. It is not whether the two are equal or unequal.
Decision rule: reject if the t df=18 0.99 is < -2.552.
The t-value is -0.650 for a p-value of 0.26
Fail to reject Ho, insufficient evidence to say that there is a difference. I would not say "trending" in that direction. If one is concerned, one might take a larger sample, which would have higher power to show a difference.
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