re I https//newconnect.mheducat html work Chapter 116 Help Sav Mary Jo Fitzpatri

Question

re I https//newconnect.mheducat html work Chapter 116 Help Sav Mary Jo Fitzpatrick is the vice president for Nursing Services at St Luke's Memorial Hospital. Recently she noticed in the job postings for nurses that those that are unionized seem to offer higher wages. She decided to investigate and gathered the following Sample ean age Deviat lon 2.25 1.90 40 297 lennon 45 $19.10 Would it be reasonable for her to conclude that union nurses ean more? Use the 002 significance level. What is the p-value? e Is this a one-tailed or a two-tailed test? One-tailed test Two-taled test b. State the decision rule (Round your answer to 2 decimal places) 1018 Next 5 6 8

Explanation / Answer

a)
H0: mu1 - mu2 <= 0
Ha: mu1 - mu2 > 0

This is one tailed test

b)
The decision rule is to reject H0 if z is greater than 2.0537

c)

Test Statistics

z = [ (x1 - x2) - d ] / SE

z = 3.85

d)

Rejected H0

e)

p-value = 0.0001

x1(bar) 20.75 x2(bar) 19.00 s1 2.25 s2 1.90 n1 40 n2 45 SE = sqrt[ (s12/n1) + (s22/n2) ] (s12/n1) 0.1266 (s22/n2) 0.0802 SE 0.4547

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