1. Asimple randomsample of100 postalemployees is used to test ifthe average time postalemployees have worked for the postalservice has
changed fromthe value of7.5 years recorded 20 years ago. The sample meanwas 7 years witha standard deviationof2 years. Assume the
distributionofthe time the employees have worked for the postalservice is approximatelynormal. The hypotheses beingtested are H0: = 7.5,
HA: 7.5. Aone-sample t test willbe used.
1. What are the appropriate degrees offreedomfor this test?
A. 19
B. 99
C. 7
D. 100
2. What is the value ofthe test statistic for the one-sample t?
A. -0.25
B. 2
C. 2.5
D. -2.5
3. What is the p-value for the one-sample t?
A. 0.01 > p-value > 0.005
B. 0.02 > p-value > 0.01
C. 0.0062
D. 0.05 > p-value > 0.01
E. 0.10 > p-value > 0.05
4. Suppose the meanand standard deviationobtained were based ona sample ofsize n=25 postalworkers rather than100. What do we know
about the value ofthe p-value?
A. It would be larger.
B. It would be smaller.
C. It would be unchanged because the difference betweenthe sample meanand the hypothesized meanis the same.
D. It would be unchanged because the variabilityor standard deviationis the same.
5. What would youconclude about the population?
A. The true average years is equalto 7.5
B. The true average years is not equalto 7.5
C. The true average years is greater than7.5
D. Not enoughinformation