A government survey sampled 100 male workers aged 18-25 and them approximately how many hours did they
work the previous week. For these men, the average was 37.8 with a standard deviation of 13.3. Is this
evidence that the average work week for these men was less than 40 hours?
1. This problem is about a
a. Proportion
b. Mean
c. Both of the above
d. Standard deviation
e. None of the above
2. What are the appropriate null and alternative hypotheses?
a. Ho: μ = 37.8, Ηα: μ > 37.8
b. Ho: x 37.8. Ha: x = 40
c. Ho: p-40, Ha: p≠ 40
d. Ho: μ = 40, Ηα: μ < 40
e. None of the above
3. The appropriate test statistic for this problem is:
a. A z-statistic because we are dealing with a proportion
b. A t-statistic because we are dealing with a proportion
c. A z-statistic because we are dealing with a mean and know σ
d. At-statistic because we are dealing with a mean, have a large sample size and knows, not o
e. None of the above
4. The value of the test statistic is given by:
a.
$$\frac{37.8-40}{13.3}$$ = -1.65
b.
$$\frac{40-37.8}{13.3}$$ = 1.65
c.
$$\frac{13.3}{13.3}$$ = -0.165
d.
$$\frac{13.3-37.8}{40}$$ = -0.61
e. None of the above
5. The actual degrees of freedom for this statistic are:
a. 40
b. 99
c. 100
d. ∞
e. None of the above
6. The alternative hypothesis Ha for this problem tells us we have a
a. One-tailed test, using the right tail
b. One-tailed test, using the left tail
c. Two-tailed test
d. We cannot do a hypothesis test given this data
e. None of the above.
7. The appropriate p-value to report for this test is
a. P-value> 0.100
b. P-value> 0.200
c. 0.05 < p-value < 0.10 previous incorrect answer. Real value is 0.025 < p-value <0.05
d. 0.10<p-value < 0.20
e. None of the above - I inadvertently used the 2-tailed rather than 1 tailed p-value
8. Based on our results and using a significance level of a 0.05, we conclude that
a. There is evidence that these younger men have more than a 40-hour average work week
b. There is evidence that these younger men have less than a 40-hour average work week
c. The evidence supports that these younger men work about 40 hours a week on average.
d. Both b and c
e. None of the above