1. Find z for each of the following confidence levels. Round to two decimal places.

- 90%
- 95%
- 96%
- 97%
- 98%
- 99%

2. For a data set obtained from a random sample, n = 81 and x = 48.25. It is known

that σ = 4.8.

- What is the point estimate of μ? Round to two decimal places
- Make a 95% confidence interval for μ. What is the lower limit? Round to two decimal places.
- Make a 95% confidence interval for μ. What is the upper limit? Round to two decimal places.
- What is the margin of error of estimate for part b? Round to two decimal places.

3. Determine the sample size (nfor the estimate of μ for the following.

- E = 2.3, σ = 15.40, confidence level = 99%. Round to the nearest whole number.
- E = 4.1, σ = 23.45, confidence level = 95%. Round to the nearest whole number.
- E = 25.9, σ = 122.25, confidence level = 90%. Round to the nearest whole number.

4. True or False.

a.The null hypothesis is a claim about a population parameter that is assumed to be false until it is declared false.

- A. True
- B. False

b. An alternative hypothesis is a claim about a population parameter that will be true if the null hypothesis is false.

- A. True
- B. False

c. The critical point(s) divide(s) is some of the area under a distribution curve into rejection and nonrejection regions.

- A. True
- B. False It’s the whole area

d. The significance level, denoted by α, is the probability of making a Type II error, that is, the probability of rejecting the null hypothesis when it is actually true.

- A. True
- B. False

e. The nonrejection region is the area to the right or left of the critical point where the null hypothesis is not rejected.

- A. True
- B. False

5. You are given the null hypothesis. Select the correct alternative hypothesis.

* *

*a) H*0: *μ *= 9.5 hours, what is *H*1?

A. left-tailed test

B. right-tailed test

C. two-tail test

*b) H*0: *μ *= $105, what is *H*1?

A. left-tailed test

B. right-tailed test

C. two-tail test

*c) H*0: *μ *= $47,000, what is *H*1?

A. left-tailed test

B. right-tailed test

C. two-tail test

*d) H*0: *μ *= 10 minutes, what is *H*1?

A. left-tailed test

B. right-tailed test

C. two-tail test

*e) H*0: *μ *= 30 hours, what is *H*1?

A. left-tailed test

B. right-tailed test

C. two-tail test

6. Fill in the blank. The level of significance in a test of hypothesis is the probability of making a ________. It is the area under the probability distribution curve where we reject *H*0.

A. Type I error

B. Type II error

C. Type III error

7. Consider H0: μ = 45 versus H1: μ < 45. A random sample of 25 observations produced a sample mean of 41.8. Using α = .025 and the population is known to be normally distributed with σ = 6.

A. What is the value of z? Round to two decimal places.

B. Would you reject the null hypothesis?

1. Reject Ho

2. Do not reject Ho

8. The following information is obtained from two independent samples selected from two normally distributed populations.

n1 = 18 x1 = 7.82 σ1 = 2.35

n2 =15 x2 =5.99 σ2 =3.17

A. What is the point estimate of μ1 − μ2? Round to two decimal places.

B. Construct a 99% confidence interval for μ1 − μ2. Find the margin of error for this estimate.

Round to two decimal places.

9. The following information is obtained from two independent samples selected from two

populations.

n1 =650 x1 =1.05 σ1 =5.22

n2 =675 x2 =1.54 σ2 =6.80

Test at a 5% significance level if μ1 is less than μ2.

a) Identify the appropriate distribution to use.

A. t distribution

B. normal distribution

b) What is the conclusion about the hypothesis?

A. Reject Ho

B. Do not reject Ho

10. Using data from the U.S. Census Bureau and other sources, www.nerdwallet.com estimated that considering only the households with credit card debts, the average credit card debt for U.S. house- holds was $15,523 in 2014 and $15,242 in 2013. Suppose that these estimates were based on random samples of 600 households with credit card debts in 2014 and 700 households with credit card debts in 2013. Suppose that the sample standard deviations for these two samples were $3870 and $3764, respectively. Assume that the standard deviations for the two populations are unknown but equal.

a) Let μ1 and μ2 be the average credit card debts for all such households for the years 2014 and 2013, respectively. What is the point estimate of μ1 − μ2? Round to two decimal places. Do not include the dollar sign.

b) Construct a 98% confidence interval for μ1 − μ2. Round to two decimal places. Do not include the dollar sign.

1. What is the lower bound? Round to two decimal places.

2. What is the upper bound? Round to two decimal places.

c) Using a 1% significance level, can you conclude that the average credit card debt for such households was higher in 2014 than in 2013? Use both the p-value and the critical-value approaches to make this test.

A. Reject Ho

1. Find z for each of the following confidence levels. Round to two decimal places.

- 90%
- 95%
- 96%
- 97%
- 98%
- 99%

2. For a data set obtained from a random sample, n = 81 and x = 48.25. It is known

that σ = 4.8.

- What is the point estimate of μ? Round to two decimal places
- Make a 95% confidence interval for μ. What is the lower limit? Round to two decimal places.
- Make a 95% confidence interval for μ. What is the upper limit? Round to two decimal places.
- What is the margin of error of estimate for part b? Round to two decimal places.

3. Determine the sample size (nfor the estimate of μ for the following.

- E = 2.3, σ = 15.40, confidence level = 99%. Round to the nearest whole number.
- E = 4.1, σ = 23.45, confidence level = 95%. Round to the nearest whole number.
- E = 25.9, σ = 122.25, confidence level = 90%. Round to the nearest whole number.

4. True or False.

a.The null hypothesis is a claim about a population parameter that is assumed to be false until it is declared false.

- A. True
- B. False

b. An alternative hypothesis is a claim about a population parameter that will be true if the null hypothesis is false.

- A. True
- B. False

c. The critical point(s) divide(s) is some of the area under a distribution curve into rejection and nonrejection regions.

- A. True
- B. False It’s the whole area

d. The significance level, denoted by α, is the probability of making a Type II error, that is, the probability of rejecting the null hypothesis when it is actually true.

- A. True
- B. False

e. The nonrejection region is the area to the right or left of the critical point where the null hypothesis is not rejected.

- A. True
- B. False

5. You are given the null hypothesis. Select the correct alternative hypothesis.

* *

*a) H*0: *μ *= 9.5 hours, what is *H*1?

A. left-tailed test

B. right-tailed test

C. two-tail test

*b) H*0: *μ *= $105, what is *H*1?

A. left-tailed test

B. right-tailed test

C. two-tail test

*c) H*0: *μ *= $47,000, what is *H*1?

A. left-tailed test

B. right-tailed test

C. two-tail test

*d) H*0: *μ *= 10 minutes, what is *H*1?

A. left-tailed test

B. right-tailed test

C. two-tail test

*e) H*0: *μ *= 30 hours, what is *H*1?

A. left-tailed test

B. right-tailed test

C. two-tail test

6. Fill in the blank. The level of significance in a test of hypothesis is the probability of making a ________. It is the area under the probability distribution curve where we reject *H*0.

A. Type I error

B. Type II error

C. Type III error

7. Consider H0: μ = 45 versus H1: μ < 45. A random sample of 25 observations produced a sample mean of 41.8. Using α = .025 and the population is known to be normally distributed with σ = 6.

A. What is the value of z? Round to two decimal places.

B. Would you reject the null hypothesis?

1. Reject Ho

2. Do not reject Ho

8. The following information is obtained from two independent samples selected from two normally distributed populations.

n1 = 18 x1 = 7.82 σ1 = 2.35

n2 =15 x2 =5.99 σ2 =3.17

A. What is the point estimate of μ1 − μ2? Round to two decimal places.

B. Construct a 99% confidence interval for μ1 − μ2. Find the margin of error for this estimate.

Round to two decimal places.

9. The following information is obtained from two independent samples selected from two

populations.

n1 =650 x1 =1.05 σ1 =5.22

n2 =675 x2 =1.54 σ2 =6.80

Test at a 5% significance level if μ1 is less than μ2.

a) Identify the appropriate distribution to use.

A. t distribution

B. normal distribution

b) What is the conclusion about the hypothesis?

A. Reject Ho

B. Do not reject Ho

10. Using data from the U.S. Census Bureau and other sources, www.nerdwallet.com estimated that considering only the households with credit card debts, the average credit card debt for U.S. house- holds was $15,523 in 2014 and $15,242 in 2013. Suppose that these estimates were based on random samples of 600 households with credit card debts in 2014 and 700 households with credit card debts in 2013. Suppose that the sample standard deviations for these two samples were $3870 and $3764, respectively. Assume that the standard deviations for the two populations are unknown but equal.

a) Let μ1 and μ2 be the average credit card debts for all such households for the years 2014 and 2013, respectively. What is the point estimate of μ1 − μ2? Round to two decimal places. Do not include the dollar sign.

b) Construct a 98% confidence interval for μ1 − μ2. Round to two decimal places. Do not include the dollar sign.

1. What is the lower bound? Round to two decimal places.

2. What is the upper bound? Round to two decimal places.

c) Using a 1% significance level, can you conclude that the average credit card debt for such households was higher in 2014 than in 2013? Use both the p-value and the critical-value approaches to make this test.

A. Reject Ho

1. Find z for each of the following confidence levels. Round to two decimal places.

- 90%
- 95%
- 96%
- 97%
- 98%
- 99%

2. For a data set obtained from a random sample, n = 81 and x = 48.25. It is known

that σ = 4.8.

- What is the point estimate of μ? Round to two decimal places
- Make a 95% confidence interval for μ. What is the lower limit? Round to two decimal places.
- Make a 95% confidence interval for μ. What is the upper limit? Round to two decimal places.
- What is the margin of error of estimate for part b? Round to two decimal places.

3. Determine the sample size (nfor the estimate of μ for the following.

- E = 2.3, σ = 15.40, confidence level = 99%. Round to the nearest whole number.
- E = 4.1, σ = 23.45, confidence level = 95%. Round to the nearest whole number.
- E = 25.9, σ = 122.25, confidence level = 90%. Round to the nearest whole number.

4. True or False.

a.The null hypothesis is a claim about a population parameter that is assumed to be false until it is declared false.

- A. True
- B. False

b. An alternative hypothesis is a claim about a population parameter that will be true if the null hypothesis is false.

- A. True
- B. False

c. The critical point(s) divide(s) is some of the area under a distribution curve into rejection and nonrejection regions.

- A. True
- B. False It’s the whole area

d. The significance level, denoted by α, is the probability of making a Type II error, that is, the probability of rejecting the null hypothesis when it is actually true.

- A. True
- B. False

e. The nonrejection region is the area to the right or left of the critical point where the null hypothesis is not rejected.

- A. True
- B. False

5. You are given the null hypothesis. Select the correct alternative hypothesis.

* *

*a) H*0: *μ *= 9.5 hours, what is *H*1?

A. left-tailed test

B. right-tailed test

C. two-tail test

*b) H*0: *μ *= $105, what is *H*1?

A. left-tailed test

B. right-tailed test

C. two-tail test

*c) H*0: *μ *= $47,000, what is *H*1?

A. left-tailed test

B. right-tailed test

C. two-tail test

*d) H*0: *μ *= 10 minutes, what is *H*1?

A. left-tailed test

B. right-tailed test

C. two-tail test

*e) H*0: *μ *= 30 hours, what is *H*1?

A. left-tailed test

B. right-tailed test

C. two-tail test

6. Fill in the blank. The level of significance in a test of hypothesis is the probability of making a ________. It is the area under the probability distribution curve where we reject *H*0.

A. Type I error

B. Type II error

C. Type III error

7. Consider H0: μ = 45 versus H1: μ < 45. A random sample of 25 observations produced a sample mean of 41.8. Using α = .025 and the population is known to be normally distributed with σ = 6.

A. What is the value of z? Round to two decimal places.

B. Would you reject the null hypothesis?

1. Reject Ho

2. Do not reject Ho

8. The following information is obtained from two independent samples selected from two normally distributed populations.

n1 = 18 x1 = 7.82 σ1 = 2.35

n2 =15 x2 =5.99 σ2 =3.17

A. What is the point estimate of μ1 − μ2? Round to two decimal places.

B. Construct a 99% confidence interval for μ1 − μ2. Find the margin of error for this estimate.

Round to two decimal places.

9. The following information is obtained from two independent samples selected from two

populations.

n1 =650 x1 =1.05 σ1 =5.22

n2 =675 x2 =1.54 σ2 =6.80

Test at a 5% significance level if μ1 is less than μ2.

a) Identify the appropriate distribution to use.

A. t distribution

B. normal distribution

b) What is the conclusion about the hypothesis?

A. Reject Ho

B. Do not reject Ho

10. Using data from the U.S. Census Bureau and other sources, www.nerdwallet.com estimated that considering only the households with credit card debts, the average credit card debt for U.S. house- holds was $15,523 in 2014 and $15,242 in 2013. Suppose that these estimates were based on random samples of 600 households with credit card debts in 2014 and 700 households with credit card debts in 2013. Suppose that the sample standard deviations for these two samples were $3870 and $3764, respectively. Assume that the standard deviations for the two populations are unknown but equal.

a) Let μ1 and μ2 be the average credit card debts for all such households for the years 2014 and 2013, respectively. What is the point estimate of μ1 − μ2? Round to two decimal places. Do not include the dollar sign.

b) Construct a 98% confidence interval for μ1 − μ2. Round to two decimal places. Do not include the dollar sign.

1. What is the lower bound? Round to two decimal places.

2. What is the upper bound? Round to two decimal places.

c) Using a 1% significance level, can you conclude that the average credit card debt for such households was higher in 2014 than in 2013? Use both the p-value and the critical-value approaches to make this test.

A. Reject Ho

1. Find z for each of the following confidence levels. Round to two decimal places.

1. Find z for each of the following confidence levels. Round to two decimal places.

- 90%
- 95%
- 96%
- 97%
- 98%
- 99%

90%

95%

96%

97%

98%

99%

2. For a data set obtained from a random sample, n = 81 and x = 48.25. It is known

2. For a data set obtained from a random sample, n = 81 and x = 48.25. It is known

that σ = 4.8.

that σ = 4.8.

- What is the point estimate of μ? Round to two decimal places
- Make a 95% confidence interval for μ. What is the lower limit? Round to two decimal places.
- Make a 95% confidence interval for μ. What is the upper limit? Round to two decimal places.
- What is the margin of error of estimate for part b? Round to two decimal places.

What is the point estimate of μ? Round to two decimal places

Make a 95% confidence interval for μ. What is the lower limit? Round to two decimal places.

Make a 95% confidence interval for μ. What is the upper limit? Round to two decimal places.

What is the margin of error of estimate for part b? Round to two decimal places.

3. Determine the sample size (nfor the estimate of μ for the following.

3. Determine the sample size (nfor the estimate of μ for the following.

- E = 2.3, σ = 15.40, confidence level = 99%. Round to the nearest whole number.
- E = 4.1, σ = 23.45, confidence level = 95%. Round to the nearest whole number.
- E = 25.9, σ = 122.25, confidence level = 90%. Round to the nearest whole number.

E = 2.3, σ = 15.40, confidence level = 99%. Round to the nearest whole number.

E = 4.1, σ = 23.45, confidence level = 95%. Round to the nearest whole number.

E = 25.9, σ = 122.25, confidence level = 90%. Round to the nearest whole number.

4. True or False.

4. True or False.

a.The null hypothesis is a claim about a population parameter that is assumed to be false until it is declared false.a.The null hypothesis is a claim about a population parameter that is assumed to be false until it is declared false.

- A. True
- B. False

A. TrueA. True

B. FalseB. False

- A. True
- B. False

A. TrueA. True

B. FalseB. False

- A. True
- B. False It’s the whole area

A. TrueA. True

B. False It’s the whole areaB. False It’s the whole area

- A. True
- B. False

A. TrueA. True

B. FalseB. False

- A. True
- B. False

A. TrueA. True

B. FalseB. False

5. You are given the null hypothesis. Select the correct alternative hypothesis.

5. You are given the null hypothesis. Select the correct alternative hypothesis.

* *

* ** *

*a) H*0: *μ *= 9.5 hours, what is *H*1?

*a) H*0: *μ *= 9.5 hours, what is *H*1?*a) H**μ **H*

A. left-tailed test

A. left-tailed test

B. right-tailed test

B. right-tailed test

C. two-tail test

C. two-tail test

*b) H*0: *μ *= $105, what is *H*1?

*b) H*0: *μ *= $105, what is *H*1?*b) H**μ **H*

A. left-tailed test

A. left-tailed test

B. right-tailed test

B. right-tailed test

C. two-tail test

C. two-tail test

*c) H*0: *μ *= $47,000, what is *H*1?

*c) H*0: *μ *= $47,000, what is *H*1?*c) H**μ **H*

A. left-tailed test

A. left-tailed test

B. right-tailed test

B. right-tailed test

C. two-tail test

C. two-tail test

*d) H*0: *μ *= 10 minutes, what is *H*1?

*d) H*0: *μ *= 10 minutes, what is *H*1?*d) H**μ **H*

A. left-tailed test

A. left-tailed test

B. right-tailed test

B. right-tailed test

C. two-tail test

C. two-tail test

*e) H*0: *μ *= 30 hours, what is *H*1?

*e) H*0: *μ *= 30 hours, what is *H*1?*e) H**μ **H*

A. left-tailed test

A. left-tailed test

B. right-tailed test

B. right-tailed test

C. two-tail test

C. two-tail test

*H*0.

6. Fill in the blank. The level of significance in a test of hypothesis is the probability of making a ________. It is the area under the probability distribution curve where we reject *H*0.*H*

A. Type I error

A. Type I error

B. Type II error

B. Type II error

C. Type III error

C. Type III error

A. What is the value of z? Round to two decimal places.

A. What is the value of z? Round to two decimal places.

B. Would you reject the null hypothesis?

B. Would you reject the null hypothesis?

1. Reject Ho

1. Reject Ho

2. Do not reject Ho

2. Do not reject Ho

n1 = 18 x1 = 7.82 σ1 = 2.35

n1 = 18 x1 = 7.82 σ1 = 2.35

n2 =15 x2 =5.99 σ2 =3.17

n2 =15 x2 =5.99 σ2 =3.17

A. What is the point estimate of μ1 − μ2? Round to two decimal places.

A. What is the point estimate of μ1 − μ2? Round to two decimal places.

B. Construct a 99% confidence interval for μ1 − μ2. Find the margin of error for this estimate.

B. Construct a 99% confidence interval for μ1 − μ2. Find the margin of error for this estimate.

Round to two decimal places.

Round to two decimal places.

9. The following information is obtained from two independent samples selected from two

9. The following information is obtained from two independent samples selected from two

populations.

populations.

n1 =650 x1 =1.05 σ1 =5.22

n1 =650 x1 =1.05 σ1 =5.22

n2 =675 x2 =1.54 σ2 =6.80

n2 =675 x2 =1.54 σ2 =6.80

Test at a 5% significance level if μ1 is less than μ2.

Test at a 5% significance level if μ1 is less than μ2.

a) Identify the appropriate distribution to use.

a) Identify the appropriate distribution to use.

A. t distribution

A. t distribution

B. normal distribution

B. normal distribution

b) What is the conclusion about the hypothesis?

b) What is the conclusion about the hypothesis?

A. Reject Ho

A. Reject Ho

B. Do not reject Ho

B. Do not reject Ho

1. What is the lower bound? Round to two decimal places.

1. What is the lower bound? Round to two decimal places.

2. What is the upper bound? Round to two decimal places.

2. What is the upper bound? Round to two decimal places.

A. Reject Ho

A. Reject Ho