Homework Soursevalue 1000 points Consider the following sample data drawn i
value:
10.00 points
Consider the following sample data drawn independently from normally distributed populations with equal population variances. Use Table 2.
Construct the relevant hypotheses to test if the mean of the second population is greater than the mean of the first population.
Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)
(Use Excel) An engineer wants to determine the effectiveness of a safety program. He collects annual loss of hours due to accidents in 12 plants
| Consider the following sample data drawn independently from normally distributed populations with equal population variances. Use Table 2. |
Solution
(a) H0: ?1 ? ?2 ? 0; HA: ?1 ? ?2 < 0
---------------------------------------------------------------------------------------------------------------------
(b-1)
The test statistic is
t=(xbar1-xbar2)/sqrt(s1^2/n1+s2^2/n2)
=(10.025-12.05)/sqrt(1.242^2/8+1.629^2/8)
=-2.796
---------------------------------------------------------------------------------------------------------------------
(a) H0: ?D = 0; HA: ?D ? 0
---------------------------------------------------------------------------------------------------------------------
(b)
The test statistic is
t= mean difference/ (s/vn)
=4.75/(8.159/sqrt(12))
=2.02
| Sample 1 | Sample 2 | |
| 10.025 | 12.050 | mean |
| 1.242 | 1.629 | std. dev. |
| 8 | 8 | n |
