Please tutor me by answering these statistic problems please. Thanks.
13. The null and alternate hypotheses are:
H0: pie sub1 ? pie sub2
H1: pie sub1 > pie sub2
A sample of 100 observations from the first population indicated that
X1 is 70. A sample of 150 observations from the second population
revealed X2 to be 90. Use the .05 significance level to test the
hypothesis.
a. State the decision rule.
b. Compute the pooled proportion.
c. Compute the value of the test statistic.
d. What is your decision regarding the null hypothesis?
14. The null and alternate hypotheses are:
H0: pie sub1 = pie sub2
H1: pie sub1 (is not equal to) pie sub2
A sample of 200 observations from the first population indicated that
X1 is 170. A sample of 150 observations from the second population
revealed X2 to be 110. Use the .05 significance level to test the
hypothesis.
a. State the decision rule.
b. Compute the pooled proportion.
c. Compute the value of the test statistic.
d. What is your decision regarding the null hypothesis?
25. An official of the Iowa Department of Highways wants to compare
the useful life, in months, of two brands of paint used for striping
roads. The mean number of months Cooper Paint lasted was 36.2, with a
standard deviation of 1.14 months. The official reviewed 35 road
stripes. For King Paint, the mean number of months was 37.0, with a
standard deviation of 1.3 months. The official reviewed 40 road
stripes. At the .01 significance level, is there a difference in the
useful life of the two paints? Compute the p-value.
26. Clark Heter is an industrial engineer at Lyons Products. He would
like to determine whether there are more units produced on the
afternoon shift than on the day shift. A sample of 54 day-shift
workers showed that the mean number of units produced was 345, with a
standard deviation of 21. A sample of 60 afternoon-shift workers
showed that the mean number of units produced was 351, with a standard
deviation of 28 units. At the .05 significance level, is the number of
units produced on the afternoon shift larger?
44. Two boats, the Sea Hawk and the Sea Queen, are competing for a
spot in the upcoming America?s Cup race. To decide which will
represent the United States, they race over a part of the course
several times. Below are the sample times in minutes. At the .05
significance level, can we conclude that there is a difference in
their mean times?
Boat Times (minutes)
Sea Hawk 12.9 12.5 11.0 13.3 11.2 11.4 11.6 12.3 14.2 11.3
Sea Queen 14.1 14.1 14.2 17.4 15.8 16.7 16.1 13.3 13.4 13.6 10.8 19.0 |
