Question 11 of 20 Question 12 of 20 Question 13 of 20 Question 11 of 20 1.0 Poin
ID: 3325776 • Letter: Q
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Question 11 of 20
Question 12 of 20
Question 13 of 20
Question 11 of 20
1.0 Points [Use data from problem 1] Conduct a t test to test the hypothesis that mean value of Z1 equals mean value of Z2 in the population. The conclusion of this test is: A. Fail to reject the null hypothesis B. Reject the null hypothesis Reset SelectionQuestion 12 of 20
1.0 Points [Use data from problem 1] Conduct a t test to test the hypothesis that mean value of Z1 equals mean value of Z2 in the population. The critical test statistic value is: A. -1.96 B. 2.06 C. 0.05 D. 1.96 Reset SelectionQuestion 13 of 20
1.0 Points [Use data from problem 1] Conduct a t test to test the hypothesis that mean value of Z1 for employees and managers is the same. The observed value of the test statistic is: A. 0.31 B. 18 C. 0.76 D. 0.05 Person ID Group 21 157.90 156.64 160.45 153.13 170.14 150.09 163.74 134.47 174.17 150.05 141.47 156.59 161.88 150.99 174.95 166.90 128.43 169.11 153.73 151.45 172.85 146.05 171.48 153.55 166.52 157.469 12.159 10 163.90 Manager 148.64 Manager 155.45 Manager 160.13 Manager 168.14 Manager 149.09 Supervisor 161.74 Supervisor 142.47 Supervisoir 177.17 Supervisor 151.05 Supervisor 148.47 Employee 148.59 Employee 162.88 Employee 158.99 Employee 174.95 Employee 165.90 Employee 124.43 Employee 168.11 Employee 150.73 Employee 146.45 Employee 164.85 Employee 137.05 Employee 178.48 Employee 151.55 Employee 164.52 Employee 156.949 12.776 2 2 4 10 10 12 13 4 16 17 10 19 4 21 23 4 Arithmetic mean Standard deviation 2.784 2.880 5.200 5.280Explanation / Answer
12) critical value of the test statistic is t(25-1);0.025 = t 24 ; 0.05 = 2.06
13) t = 0.31
Two Sample t-test
data: Z1_manager and Z1_employee
t = 0.3117, df = 18, p-value = 0.7589
alternative hypothesis: true difference in means is not equal to 0
95 percent confidence interval:
-11.03283 14.87683
sample estimates:
mean of x mean of y
159.652 157.730
11) p-value = 0.31
As p-value = 0.31 > 0.05 , we fail to reject the null hypothesis.
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