Rejection rule is: reject Ho if z calculated is >1.96 or <-1.96
Test static is z = (x-bar- µ)/(s/vn) = (5.06-5.0)/(1.0309/v52) = 0.419
Decision: since 0.419<1.96, we fail to reject Ho
Conclusion: there is not sufficient evidence that mean intrinsic score for males is different from 5.0
Z Test of Hypothesis for the Mean
Data
Null Hypothesis m=
5
Level of Significance
0.05
Population Standard Deviation
1.03
Sample Size
52
Sample Mean
5.06
Intermediate Calculations
Standard Error of the Mean
0.1429601
Z Test Statistic
0.419
Two-Tail Test
Lower Critical Value
-1.959963985
Upper Critical Value
1.959963985
p-Value
0.674709
Do not reject the null hypothesis
(Data collected for the analysis can be seen from the appendix)
The fact that mean intrinsic satisfaction rating for men is not different from 5 is encouraging. A right tailed test would have been more appropriate but two tailed test also serves the purpose. The manager should try to retain this level of satisfaction among the male employees.
Test 2
Perform the following two-tailed hypothesis test, using a .05 significance level:
Extrinsic variable by Position Type
State the null and an alternate statement for the test
Use Microsoft Excel (Data Analysis Tools) to process your data and run the appropriate test.
Copy and paste the results of the output to your report in Microsoft Word.
Identify the significance level, the test statistic, and the critical value.
State whether you are rejecting or failing to reject the null hypothesis statement.
Solution
Position type selected = 1 (Hourly employees)
Null hypothesis, Ho: µ=5.0 and alternate hypothesis, Ha: µ= 5.0
Level of significance = 0.05
Test used is z-test for population mean
Critical scores are z=1.96 and z=-1.96
Rejection rule is: reject Ho if z calculated is >1.96 or <-1.96
Test static is z = (x-bar- µ)/(s/vn) = (5.15-5.0)/(.91/v56) = 1.239
Decision rule: sine z calculated value of 1.239 is less than 1.96 so we fail to reject null hypothesis.
Conclusion: there is not sufficient evidence that mean extrinsic score for hourly employees in no different from 5
Z Test of Hypothesis for the Mean
Data
Null Hypothesis m=
5
Level of Significance
0.05
Population Standard Deviation
0.91
Sample Size
56
Sample Mean
5..15
Intermediate Calculations
Standard Error of the Mean
0.1210603
Z Test Statistic
1.239
Two-Tail Test
Lower Critical Value
-1.959963985
Upper Critical Value
1.959963985
p-Value
0.21534549
Do not reject the null hypothesis
(Data collected for the analysis can be seen from the appendix)
The fact that mean extrinsic satisfaction rating for men is not different from 5 and most approximately greater than 5 is encouraging. The manager should make sure that he or she maintains this level of satisfaction.