Exam 8: Estimation: Additional Topics

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The residents of Austin,Texas,complain that parking fines given in their city are higher than the parking fines that are given in Houston.Independent random samples of the amounts paid by residents for parking tickets in each of two cities over the last four months were obtained.Assume the population variances are equal.These amounts were as follows: THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The residents of Austin,Texas,complain that parking fines given in their city are higher than the parking fines that are given in Houston.Independent random samples of the amounts paid by residents for parking tickets in each of two cities over the last four months were obtained.Assume the population variances are equal.These amounts were as follows:    -Determine the number of degrees of freedom. -Determine the number of degrees of freedom.

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A confidence interval for the difference between the means of two normally distributed populations based on the following dependent samples is desired: THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A confidence interval for the difference between the means of two normally distributed populations based on the following dependent samples is desired:    -What is the margin of error at 95% Confidence interval? -What is the margin of error at 95% Confidence interval?

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The residents of Austin,Texas,complain that parking fines given in their city are higher than the parking fines that are given in Houston.Independent random samples of the amounts paid by residents for parking tickets in each of two cities over the last four months were obtained.Assume the population variances are equal.These amounts were as follows: THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The residents of Austin,Texas,complain that parking fines given in their city are higher than the parking fines that are given in Houston.Independent random samples of the amounts paid by residents for parking tickets in each of two cities over the last four months were obtained.Assume the population variances are equal.These amounts were as follows:    -What is the sample variance of the parking fines issued in Houston? -What is the sample variance of the parking fines issued in Houston?

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: n1 = 35, THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: n<sub>1</sub> = 35,    <sub>1</sub> = 140    = 60.84;n<sub>2</sub> = 48,    <sub>2</sub> = 130,and    = 156.25 -Find the margin of error for a 95% confidence interval for the difference in the means of the two populations assuming that the population variances are equal. 1 = 140 THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: n<sub>1</sub> = 35,    <sub>1</sub> = 140    = 60.84;n<sub>2</sub> = 48,    <sub>2</sub> = 130,and    = 156.25 -Find the margin of error for a 95% confidence interval for the difference in the means of the two populations assuming that the population variances are equal. = 60.84;n2 = 48, THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: n<sub>1</sub> = 35,    <sub>1</sub> = 140    = 60.84;n<sub>2</sub> = 48,    <sub>2</sub> = 130,and    = 156.25 -Find the margin of error for a 95% confidence interval for the difference in the means of the two populations assuming that the population variances are equal. 2 = 130,and THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: n<sub>1</sub> = 35,    <sub>1</sub> = 140    = 60.84;n<sub>2</sub> = 48,    <sub>2</sub> = 130,and    = 156.25 -Find the margin of error for a 95% confidence interval for the difference in the means of the two populations assuming that the population variances are equal. = 156.25 -Find the margin of error for a 95% confidence interval for the difference in the means of the two populations assuming that the population variances are equal.

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The mean of the sampling distribution of the difference between sample proportions, The mean of the sampling distribution of the difference between sample proportions,    <sub>1</sub> -    <sub>2</sub>,is equal to the difference between the corresponding population proportions,P<sub>1</sub> - P<sub>2</sub>. 1 - The mean of the sampling distribution of the difference between sample proportions,    <sub>1</sub> -    <sub>2</sub>,is equal to the difference between the corresponding population proportions,P<sub>1</sub> - P<sub>2</sub>. 2,is equal to the difference between the corresponding population proportions,P1 - P2.

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: nx = 360, THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: n<sub>x</sub> = 360,    <sub>x</sub> = 0.69,n<sub>y</sub> = 350,    <sub>y</sub> = 0.76 -What is the upper confidence limit of the 98% confidence interval for the difference in population proportions? x = 0.69,ny = 350, THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: n<sub>x</sub> = 360,    <sub>x</sub> = 0.69,n<sub>y</sub> = 350,    <sub>y</sub> = 0.76 -What is the upper confidence limit of the 98% confidence interval for the difference in population proportions? y = 0.76 -What is the upper confidence limit of the 98% confidence interval for the difference in population proportions?

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In calculating the 95% confidence interval for μ1 - μ2 the difference between the means of two normally distributed populations,the summary statistics from two independent samples are: nx = 10, THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In calculating the 95% confidence interval for μ<sub>1</sub> - μ<sub>2</sub> the difference between the means of two normally distributed populations,the summary statistics from two independent samples are: n<sub>x</sub> = 10,    = 50,    = 0.64,n<sub>y</sub> = 10,    = 40,and    = 1.86. -What is the upper confidence limit of the 95% confidence interval if the Population variances are unknown and are assumed to be equal? = 50, THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In calculating the 95% confidence interval for μ<sub>1</sub> - μ<sub>2</sub> the difference between the means of two normally distributed populations,the summary statistics from two independent samples are: n<sub>x</sub> = 10,    = 50,    = 0.64,n<sub>y</sub> = 10,    = 40,and    = 1.86. -What is the upper confidence limit of the 95% confidence interval if the Population variances are unknown and are assumed to be equal? = 0.64,ny = 10, THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In calculating the 95% confidence interval for μ<sub>1</sub> - μ<sub>2</sub> the difference between the means of two normally distributed populations,the summary statistics from two independent samples are: n<sub>x</sub> = 10,    = 50,    = 0.64,n<sub>y</sub> = 10,    = 40,and    = 1.86. -What is the upper confidence limit of the 95% confidence interval if the Population variances are unknown and are assumed to be equal? = 40,and THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In calculating the 95% confidence interval for μ<sub>1</sub> - μ<sub>2</sub> the difference between the means of two normally distributed populations,the summary statistics from two independent samples are: n<sub>x</sub> = 10,    = 50,    = 0.64,n<sub>y</sub> = 10,    = 40,and    = 1.86. -What is the upper confidence limit of the 95% confidence interval if the Population variances are unknown and are assumed to be equal? = 1.86. -What is the upper confidence limit of the 95% confidence interval if the Population variances are unknown and are assumed to be equal?

(Multiple Choice)
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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The residents of Austin,Texas,complain that parking fines given in their city are higher than the parking fines that are given in Houston.Independent random samples of the amounts paid by residents for parking tickets in each of two cities over the last four months were obtained.Assume the population variances are equal.These amounts were as follows: THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The residents of Austin,Texas,complain that parking fines given in their city are higher than the parking fines that are given in Houston.Independent random samples of the amounts paid by residents for parking tickets in each of two cities over the last four months were obtained.Assume the population variances are equal.These amounts were as follows:    -What is the mean of the parking fines issued in Austin? -What is the mean of the parking fines issued in Austin?

(Multiple Choice)
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Based on the 90% confidence interval for the difference in the means of the two populations,is there evidence that the population means are different?

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