Use the following to answer the next 2 questions. Do government employees take longer coffee breaks than private sector workers? That is a question that interested a management consultant. To examine the issue, he took a random sample of ten government employees and another random sample of ten private sector workers and measured the amount of time (in minutes) they spent in coffee breaks during the day (the samples are assumed to be independent).
PS: Relevant outputs are given below; please refer to them in order to answer the following questions.
Variable 1: Government Employees
Variable 2: Private Sector Employees
F-Test Two-Sample for Variances |
||
Variable 1 |
Variable 2 |
|
Mean |
27.2 |
21.5 |
Variance |
29.28888889 |
13.16666667 |
Observations |
10 |
10 |
df |
9 |
9 |
F |
2.224472574 |
|
P(F<=f) one-tail |
0.124675612 |
|
F Critical one-tail |
3.178893104 |
t-Test: Two-Sample Assuming Equal Variances |
||
Variable 1 |
Variable 2 |
|
Mean |
27.2 |
21.5 |
Variance |
29.28888889 |
13.16666667 |
Observations |
10 |
10 |
Pooled Variance |
21.22777778 |
|
Hypothesized Mean Difference |
0 |
|
df |
? |
|
t Stat |
? |
|
P(T<=t) one-tail |
? |
|
t Critical one-tail |
? |
|
P(T<=t) two-tail |
? |
|
t Critical two-tail |
? |
t-Test: Two-Sample Assuming Unequal Variances |
||
Variable 1 |
Variable 2 |
|
Mean |
27.2 |
21.5 |
Variance |
29.28888889 |
13.16666667 |
Observations |
10 |
10 |
Hypothesized Mean Difference |
0 |
|
df |
16 |
|
t Stat |
? |
|
P(T<=t) one-tail |
? |
|
t Critical one-tail |
? |
|
P(T<=t) two-tail |
? |
|
t Critical two-tail |
? |
t-Test: Paired Two Sample for Means |
||
Variable 1 |
Variable 2 |
|
Mean |
27.2 |
21.5 |
Variance |
29.28888889 |
13.16666667 |
Observations |
10 |
10 |
Pearson Correlation |
0.226322699 |
|
Hypothesized Mean Difference |
0 |
|
df |
? |
|
t Stat |
3.11 |
|
P(T<=t) one-tail |
? |
|
t Critical one-tail |
? |
|
P(T<=t) two-tail |
? |
|
t Critical two-tail |
? |
What type of test(s) are you using?
a)Only a paired samples t-test
b)Only an independent samples t-test
c)An F-test than a paired samples t-test
d)An F-test than an independent samples t-test
What is your test statistic?
a)3.11
b)2.22
c)2.76
d)-2.76
What type of test(s) are you using?
b)Only an independent samples t-test
What is your test statistic?
c)2.76
1 | 2 | |
27.2 | 21.5 | mean |
5.411931263 | 3.628636107 | std. dev. |
10 | 10 | n |
18 | df | |
5.7000 | difference (1 - 2) | |
21.2280 | pooled variance | |
4.6074 | pooled std. dev. | |
2.0605 | standard error of difference | |
0 | hypothesized difference | |
2.766 | t | |
.0064 | p-value (one-tailed, upper) |
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