Do government employees take longer coffee breaks than private sector employees?
ID: 3228967 • Letter: D
Question
Do government employees take longer coffee breaks than private sector employees? 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 results and printout are given below. Use = .01.
Gov’t
Employees
Private Sector Employees
3
25
18
19
34
18
31
22
28
28
33
25
25
21
27
21
32
20
21
16
t-Test: Two-Sample Assuming Unequal Variances
Gov’t
Private
Mean
27.2
21.5
Variance
29.288889
13.166667
Observations
10
10
Hypothesized Mean Difference
0
df
16
t Stat
2.766353
P(T<=t) one-tail
0.0068816
t Critical one-tail
1.7458842
P(T<=t) two-tail
0.0137632
t Critical two-tail
2.1199048
a) State the null and alternative hypotheses.
b) Give the p-value used to answer this question.
c) Answer the question: Do government employees take longer breaks than private sector employees?
Gov’t
Employees
Private Sector Employees
3
25
18
19
34
18
31
22
28
28
33
25
25
21
27
21
32
20
21
16
Explanation / Answer
a) null hypothesis: Ho: mean 1= mean2 ; where mean 1 is mean2 are govt and private employee coffee time
ALternate Hypothesis: mean1 >mean2
b) p value =0.0068816 ; as it is right tailed (one tailed test)
c)Yes as p value is less then0.01 level of significance.
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