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Chapter 10: Q: 70 (page 600)
What is the sample mean difference?
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It is believed that of males pass their drivers test in the first attempt, while of females pass the test in the first attempt. Of interest is whether the proportions are in fact equal.
Indicate if the hypothesis test is for :
a. independent group means, population standard deviations, and/or variances known
b. independent group means, population standard deviations, and/or variances unknown
c. matched or paired samples
d. single mean
e. two proportions
f. single proportion
Use the following information to answer the next five exercises. A doctor wants to know if a blood pressure medication is
effective. Six subjects have their blood pressures recorded. After twelve weeks on the medication, the same six subjects
have their blood pressure recorded again. For this test, only systolic pressure is of concern. Test at the 1% significance level.
What is the p-value?
A concerned group of citizens wanted to know if the proportion of forcible rapes in Texas was different in
than in Their research showed that of the violent crimes in Texas in of them were forcible rapes. In of the violent crimes were in the forcible rape category. Test at a significance level.
Answer the following questions:
a. Is this a test of two means or two proportions?
b. Which distribution do you use to perform the test?
c. What is the random variable?
d. What are the null and alternative hypothesis? Write the null and alternative hypothesis in symbols.
e. Is this test right-, left-, or two-tailed?
f. What is the p-value?
g. Do you reject or not reject the null hypothesis?
h. At the ___ level of significance, from the sample data, there ______ (is/is not) sufficient evidence to conclude that
____________.
The means of the number of revolutions per minute of two competing engines are to be compared. Thirty engines are randomly assigned to be tested. Both populations have normal distributions. Table given below shows the result. Do the data indicate that Engine 2 has higher RPM than Engine 1? Test at a level of significance.
| Engine | Sample mean number of RPM | Population Standard Deviation |
| 1 | 1500 | 50 |
| 2 | 1600 | 60 |
The mean number of English courses taken in a two–year time period by male and female college students is believed
to be about the same. An experiment is conducted and data are collected from 29 males and 16 females. The males took an
average of three English courses with a standard deviation of 0.8. The females took an average of four English courses with
a standard deviation of 1.0. Are the means statistically the same?
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