Reference no: EM132858335
Q-1. Mary Jo Fitzpatrick is the vice president for nursing services at St. Luke's Memorial Hospital. Recently, she noticed that in the job postings for nurses, unionized jobs seemed to offer higher wages. She decided to investigate this and gathered the following sample information:
Group Mean Wage Population standard deviation Sample Size
Unionized $20.75 $ 2.25 40
Non-unionized $19.80 $1.90 45
Would it be reasonable for her to conclude that unionized nurses earn more? Use the 0.02 significance level. What conclusions can you make given the p-value?
a. Is this a one-tailed or a two-tailed test?
b. State the decision rule.
c. Compute the value of the test statistic.
d. What is your decision regarding H0?
e. What is the p-value?
Q-2. A sample of scores on an examination given in Statistics 201 are as follows:
Men Women
72 81
69 67
98 90
66 78
85 81
76 80
79 76
80
77
Hint: For the calculations, assume the women as the first sample.
a. State the decision rule for 0.01 significance level.
b. Compute the pooled estimate of the population variance.
c. Compute the value of the test statistic.
d. At the 0.01 significance level, is the mean grade of the women higher than that of the men?
e. Calculate the p-value.
Q-3. The Milton Area Chamber of Commerce wanted to know whether the mean weekly salary of nurses was larger than that of school teachers. To investigate, it collected the following information on the amounts earned last week by a sample of school teachers and nurses:
School teachers ($) Nurses ($)
845 841
826 890
827 821
875 771
784 850
809 859
802 825
820 829
829
830
842
832
Is it reasonable to conclude that the mean weekly salary of nurses is higher? Use the 0.01 significance level.
a. State the decision rule.
b. Compute the pooled estimate of the population variance.
c. Compute the test statistic.
d. State your decision about the null hypothesis?
e. What is the p-value?