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Chapter 10: Q. 73 (page 599)

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.

State the null and alternative hypotheses.

Short Answer

Expert verified

The null and alternative hypotheses areH0:渭after-渭before鈮�0H1:渭after-渭before<0

Step by step solution

01

Given information

The table is

02

State the null and alternative hypotheses.

Before taking medication, the average blood pressure was above zero before taking medication, the average blood pressure was below zero are the null and alternative hypotheses.

H0:渭after-渭before鈮�0H1:渭after-渭before<0

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Most popular questions from this chapter

Use the following information to answer the next five exercises. The mean speeds of fastball pitches from two different baseball pitchers are to be compared. A sample of 14 fastball pitches is measured from each pitcher. The populations have normal distributions. Table 10.18 shows the result. Scouters believe that Rodriguez pitches a speedier fastball.

At the 1 % significance level, what is your conclusion?

A study is done to determine if Company A retains its workers longer than Company B. Company A samples 15workers, and their average time with the company is five years with a standard deviation of 1.2.Company B samples 20workers, and their average time with the company is 4.5yearswith a standard deviation of 0.8.The populations are normally distributed.

a. Are the population standard deviations known?

b. Conduct an appropriate hypothesis test. At the 5%significance level, what is your conclusion?

Use the following information to answer the next twelve exercises. In the recent Census, three percent of the U.S. population reported being of two or more races. However, the percent varies tremendously from state to state. Suppose that two random surveys are conducted. In the first random survey, out of 1,000 North Dakotans, only nine people reported being of two or more races. In the second random survey, out of 500 Nevadans, 17 people reported being of two or more races. Conduct a hypothesis test to determine if the population percents are the same for the two states or if the percent for Nevada is statistically higher than for North Dakota.

State the null and alternative hypotheses.

a.H0:

b. Ha:

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 5%level of significance.

EngineSample mean number of RPMPopulation Standard Deviation
1150050
2160060

Use the following information to answer the next 15 exercises: 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

The average worker in Germany gets eight weeks of paid vacation.
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