8.4

1)A simple random sample of 42 men from a normally distributed population results in a standard deviation of 11.9 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normalrange, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts(a) through(d) below.

a. Identify the null and alternative hypotheses. Choose the correct answer below.

A.

H0:=10 beats per minute

H1:10 beats per minute

B.

H0:10 beats per minute

H1:<10 beats per minute

C.

H0:=10 beats per minute

H1:<10 beats per minute

D.

H0:10 beats per minute

H1:=10 beats per minute

Click to select your answer and then click Check Answer.

2)Data show that men between the ages of 20 and 29 in a general population have a mean height of 69.3inches, with a standard deviation of 2.4 inches. A baseball analyst wonders whether the standard deviation of heights ofmajor-league baseball players is less than 2.4 inches. The heights(in inches) of 20 randomly selected players are shown in the table.

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Click the icon to view the data table.

Test the notion at the =0.10 level of significance.

What are the correct hypotheses for thistest?

The null hypothesis is H0:

sigma

mu

p

p

equals

=

greater than

>

not equals

less than

<

2.4.

The alternative hypothesis is H1:

p

p

sigma

mu

equals

=

greater than

>

not equals

less than

<

2.4.

3)A simple random sample of 29 filtered100-mm cigarettes is obtained from a normally distributedpopulation, and the tar content of each cigarette is measured. The sample has a standard deviation of 0.20 mg. Use a 0.05 significance level to test the claim that the tar content of filtered100-mm cigarettes has a standard deviation different from 0.30 mg, which is the standard deviation for unfilteredking-size cigarettes. Complete parts(a) through(d) below.

a. What are the null and alternativehypotheses?

A.

H0: 0.30 mg

H1:=0.30 mg

B.

H0: =0.30 mg

H1:<0.30 mg

C.

H0: >0.30 mg

H1:0.30 mg

D.

H0: =0.30 mg

H1:0.30 mg

Click to select your answer and then click Check Answer.

4)A simple random sample of 29 filtered100-mm cigarettes is obtained from a normally distributedpopulation, and the tar content of each cigarette is measured. The sample has a standard deviation of 0.20 mg. Use a 0.05 significance level to test the claim that the tar content of filtered100-mm cigarettes has a standard deviation different from 0.30 mg, which is the standard deviation for unfilteredking-size cigarettes. Complete parts(a) through(d) below.

a. What are the null and alternativehypotheses?

A.

H0: 0.30 mg

H1:=0.30 mg

B.

H0: =0.30 mg

H1:<0.30 mg

C.

H0: >0.30 mg

H1:0.30 mg

D.

H0: =0.30 mg

H1:0.30 mg

Click to select your answer and then click Check Answer.

9.1

1)A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 288 vinylgloves, 62% leaked viruses. Among 288 latexgloves, 14% leaked viruses. Using the accompanying display of the technologyresults, and using a 0.05 significancelevel, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1.

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Click the icon to view the technology results.

What are the null and alternativehypotheses?

A.

H0: p1=p2

H1: p1p2

B.

H0: p1=p2

H1: p1>p2

C.

H0: p1=p2

H1: p1

D.

H0: p1

H1: p1=p2

E.

H0: p1p2

H1: p1=p2

F.

H0: p1>p2

H1: p1=p2

Click to select your answer and then click Check Answer.

2)A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 288 vinylgloves, 62% leaked viruses. Among 288 latexgloves, 14% leaked viruses. Using the accompanying display of the technologyresults, and using a 0.05 significancelevel, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1.

LOADING...

Click the icon to view the technology results.

What are the null and alternativehypotheses?

A.

H0: p1=p2

H1: p1p2

B.

H0: p1=p2

H1: p1>p2

C.

H0: p1=p2

H1: p1

D.

H0: p1

H1: p1=p2

E.

H0: p1p2

H1: p1=p2

F.

H0: p1>p2

H1: p1=p2

Click to select your answer and then click Check Answer.

3)A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 288 vinylgloves, 62% leaked viruses. Among 288 latexgloves, 14% leaked viruses. Using the accompanying display of the technologyresults, and using a 0.05 significancelevel, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1.

LOADING...

Click the icon to view the technology results.

What are the null and alternativehypotheses?

A.

H0: p1=p2

H1: p1p2

B.

H0: p1=p2

H1: p1>p2

C.

H0: p1=p2

H1: p1

D.

H0: p1

H1: p1=p2

E.

H0: p1p2

H1: p1=p2

F.

H0: p1>p2

H1: p1=p2

Click to select your answer and then click Check Answer.

4)Rhino viruses typically cause common colds. In a test of the effectiveness ofechinacea, 41 of the 46 subjects treated with echinacea developed rhinovirus infections. In a placebogroup, 87 of the 100 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus infections. Complete parts(a) through(c) below.

a. Test the claim using a hypothesis test.

Consider the first sample to be the sample of subjects treated with echinacea and the second sample to be the sample of subjects treated with a placebo. What are the null and alternative hypotheses for the hypothesistest?

A.

H0: p1p2

H1: p1p2

B.

H0: p1p2

H1: p1p2

C.

H0: p1=p2

H1: p1

D.

H0: p1p2

H1: p1=p2

E.

H0: p1=p2

H1: p1p2

F.

H0: p1=p2

H1: p1>p2