Question

With the influx of new nurses, a hospital has decided install the Continental time scale of...

With the influx of new nurses, a hospital has decided install the Continental time scale of 12 hour shifts versus the Regular 8 hour shifts to see if this change will improve job satisfaction, as measured by a questionnaire that assess satisfaction or dis-satisfaction. A higher score implies greater satisfaction. Questionnaire scores of 18 randomly chosen nurses before and after the implementation of these new working hours are shown in the following table.

  • Job Satisfaction Index

    Employee Number

    Regular Hours

    Revised Hours

    Differences

    Sign of Differences

    Ranks of Differences

    Signed – Ranks

    1

    34

    38

    2

    23

    23

    3

    75

    75

    4

    34

    42

    5

    52

    57

    6

    18

    18

    7

    26

    28

    8

    43

    47

    9

    72

    67

    10

    63

    65

    11

    55

    58

    12

    65

    65

    13

    61

    66

    14

    28

    48

    15

    68

    72

    16

    17

    21

    17

    9

    22

    18

    82

    71

    1) Use the Wilcoxon Signed – Rank Test to test the claim at the 0.05 significance level that there is a positive difference in the Job Satisfaction of these applicants

    1. State the Null and Alternative Hypotheses (1)
    2. State the Decision Rule (1)
    3. Perform the test (5)
    4. State your Decision (1)

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