11.) In a study of cell phone usage and brain hemisphericdominance, an Internet survey wase-mailed to 6971 subjects randomly selected from an online group involved with ears. There were 1294 surveys returned. Use a 0.01 significance level to test the claim that the return rate is less than20%. Use theP-value method and use the normal distribution as an approximation to the binomial distribution.

Identify the null hypothesis and alternative hypothesis.

A.

H0: p>0.2

H1: p=0.2

B.

H0: p=0.2

H1: p<0.2

C.

H0: p=0.2

H1: p>0.2

D.

H0: p=0.2

H1: p0.2

E.

H0: p<0.2

H1: p=0.2

F.

H0: p0.2

H1: p=0.2

12.) Use technology to find theP-value for the hypothesis test described below.

The claim is that for a smartphonecarrier's data speeds atairports, the mean is =12.00 Mbps. The sample size is n=24 and the test statistic is t=1.173.

P-value=_________

(Round to three decimal places asneeded.)

13.) The display provided from technology available below results from using data for a smartphonecarrier's data speeds at airports to test the claim that they are from a population having a mean less than 6.00 Mbps. Conduct the hypothesis test using these results. Use a 0.05 significance level. Identify the null and alternativehypotheses, teststatistic, P-value, and state the final conclusion that addresses the original claim.

T-Test

<6.00

t=2.664572

p=0.005204

x=5.35

Sx=1.724928

n=50

Assuming all conditions for conducting a hypothesis test aremet, what are the null and alternativehypotheses?

A.

H0: =6.00 Mbps

H1: >6.00 Mbps

B.

H0: =6.00 Mbps

H1: 6.00 Mbps

C.

H0: =6.00 Mbps

H1: <6.00 Mbps

D.

H0: <6.00 Mbps

H1: =6.00 Mbps

14.) A data set includes data from student evaluations of courses. The summary statistics are n=85, x=3.94, s=0.58. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 4.00. Assume that a simple random sample has been selected. Identify the null and alternativehypotheses, teststatistic, P-value, and state the final conclusion that addresses the original claim.

What are the null and alternativehypotheses?

A.

H0: =4.00

H1: <4.00

B.

H0: =4.00

H1: 4.00

C.

H0: 4.00

H1: =4.00

D.

H0: =4.00

H1: >4.00

15.) A data set about speed dating includes"like" ratings of male dates made by the female dates. The summary statistics are n=185, x=7.58, s=1.98. Use a 0.05 significance level to test the claim that the population mean of such ratings is less than 8.00. Assume that a simple random sample has been selected. Identify the null and alternativehypotheses, teststatistic, P-value, and state the final conclusion that addresses the original claim.

What are the null and alternativehypotheses?

A.

H0: =8.00

H1: 8.00

B.

H0: =8.00

H1: >8.00

C.

H0: <8.00

H1: >8.00

D.

H0: =8.00

H1: <8.00

16.) In a test of the effectiveness of garlic for loweringcholesterol, 36 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes(before minusafter) in their levels of LDL cholesterol(in mg/dL) have a mean of 0.3 and a standard deviation of 2.41. Use a 0.10 significance level to test the claim that with garlictreatment, the mean change in LDL cholesterol is greater than 0. What do the results suggest about the effectiveness of the garlictreatment? Assume that a simple random sample has been selected. Identify the null and alternativehypotheses, teststatistic, P-value, and state the final conclusion that addresses the original claim.

What are the null and alternativehypotheses?

A.

H0: >0 mg/dL

H1: <0 mg/dL

B.

H0: =0 mg/dL

H1: <0 mg/dL

C.

H0: =0 mg/dL

H1: >0 mg/dL

D.

H0: =0 mg/dL

H1: 0 mg/dL

17.) A data set lists earthquake depths. The summary statistics are n=600, x=6.38 km, s=4.82 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 6.00. Assume that a simple random sample has been selected. Identify the null and alternativehypotheses, teststatistic, P-value, and state the final conclusion that addresses the original claim.

What are the null and alternativehypotheses?

A.

H0: =6.00 km

H1: >6.00 km

B.

H0: 6.00 km

H1: =6.00 km

C.

H0: =6.00 km

H1: <6.00 km

D.

H0: =6.00 km

H1: 6.00 km

18.)A simple random sample of 33 men from a normally distributed population results in a standard deviation of 10.2 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 0.05 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

b. Compute the test statistic.

c. Find theP-value.

d. State the conclusion.

Compare theP-value to the level of significance to determine the result of the hypothesis test. If theP-value is less than or equal to the level of significance there is sufficient evidence to reject the null hypothesis.Otherwise, there is insufficient evidence to reject the null hypothesis. Restate the conclusion in terms of the original claim.

Use this information to determine whether or not there is sufficient evidence to reject the null hypothesis.

19.)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 2.6 inches. A baseball analyst wonders whether the standard deviation of heights ofmajor-league baseball players is less than 2.6 inches. The heights(in inches) of 20 randomly selected players are shown in the table.

72 74 71 72 76

70 77 75 72 72

77 73 75 70 73

74 75 73 74 74

Test the notion at thelevel of significance.

What are the correct hypotheses for this test?

The null hypothesis is H0:pick one of the following for each arrow.

-mu

-sigma

-p

-not equals

-less than

-equals

-greater than

2.6

The alternative hypothesis is H1:pick one of the following for each arrow.

-mu

-sigma

-p

-not equals

-less than

-greater than

-equals

2.6

20.) The piston diameter of a certain hand pump isinch. The manager determines that the diameters are normally distributed, with a mean ofinch and a standard deviation ofinch. After recalibrating the production machine, the manager randomly selectspistons and determines that the standard deviation isinch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at thelevel of significance?

What are the correct hypotheses for this test?

The null hypothesis is H0:pick one of the following for each arrow.

-sigma

-mu

-p

-equals

-greater than

-less than

-not equals

-0.0026.

-0.003.

The alternative hypothesis is H1:pick one of the following for each arrow.

-mu

-sigma

-p

-equals

-not equals

-less than

-greater than

-0.0026.

-0.003.