When we test H0: µ1- µ2 $\le$0,HA: µ1- µ2> 0, 1 = 15.4, 2 = 14.5,$\sigma$1 = 2,$\sigma$2 = 2.28,n1 = 35,n2 = 18 at $\alpha$ = .01,the test statistic used is:

A) 1.42 B) 2.10 C) 2.33 D) 21.6 A) 1.42 B) 2.10 C) 2.33 D) 21.6

Find a 95 percent confidence interval for the difference between means where n1 = 50,n2= 36, 1 = 80, 2 = 75,$\sigma$12 = 5 and $\sigma$22 = 3.

A) (4.16 5.84) B) (3.30 6.70) C) (4.40 5.60) D) (4.64 5.36) A) (4.16 5.84) B) (3.30 6.70) C) (4.40 5.60) D) (4.64 5.36)

Find a 95 percent confidence interval for µ1- µ2,where n1= 9,n2 = 6, 1 = 64, 2 = 59,s12 = 6 and s22 = 3.(Assume equal population variances)

A) (2.357 7.643) B) (2.494 7.506) C) (2.528 7.472) D) (3.840 6.160) A) (2.357 7.643) B) (2.494 7.506) C) (2.528 7.472) D) (3.840 6.160)

Find a 99 percent confidence interval for the difference between means n1 = 49,n2 = 49, 1 = 87, 2 = 92, $\sigma$12 = 13 and $\sigma$22 = 15.

A) (-12.30 2.30) B) (-6.47 -3.53) C) (-6.94 -3.05) D) (-5.57 -4.43) A) (-12.30 2.30) B) (-6.47 -3.53) C) (-6.94 -3.05) D) (-5.57 -4.43)

What is the value of the F-statistic for H0: $\sigma$12 $\le$ $\sigma$12,HA: $\sigma$12> $\sigma$12,where s1= 3.3,and s2 = 2.1.

A) 2.47 B) 1.57 C) 6.48 D) 6.10 A) 2.47 B) 1.57 C) 6.48 D) 6.10

Exam 10: Statistical Inferences Based on Two Samples

In testing the difference between two population variances,it is a common practice to compute the F statistic so that its value is always greater than or equal to one.

(True/False)

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Question 101

The mid-distance running coach,Zdravko Popovich,for the Olympic team of an eastern European country claims that his six-month training program significantly reduces the average time to complete a 1500-meter run.Five mid-distance runners were randomly selected before they were trained with coach Popovich's six-month training program and their completion time of 1500-meter run was recorded (in minutes).After six months of training under coach Popovich,the same five runners' 1500 meter run time was recorded again the results are given below. Construct the appropriate 95% confidence interval.(s_d = .228)

(Multiple Choice)

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Question 102

When comparing the variances of two normally distributed populations using independent random samples,the correct test statistic to use is __________.

(Multiple Choice)

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Question 103

When comparing the variances of two normally distributed populations using independent random samples,if ,the calculated value of F will always be equal to one.

(True/False)

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Question 104

In forming a confidence interval for ,only two assumptions are required: independent samples and sample sizes of at least 30.

(True/False)

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Question 105

Find a 90 percent confidence interval for the difference between the proportions of Group l and Group 2.Let p₁ represent the population proportion of the people in group 1 who are in favor of new packaging and Let p₂ represent the population proportion of the people in group 2 who are in favor of new packaging,where ₁ = .21, ₂ = .13,n₁= 300,n₂ = 400.

(Multiple Choice)

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Question 106

When we test H₀: µ₁- µ₂ $\le$ 0,H_A: µ₁- µ₂> 0, $When we test H0: µ1- µ2 \le 0,HA: µ1- µ2> 0, 1 = 15.4, 2 = 14.5, \sigma 1 = 2, \sigma 2 = 2.28,n1 = 35,n2 = 18 at \alpha = .01,the test statistic used is:$ ₁ = 15.4, $When we test H0: µ1- µ2 \le 0,HA: µ1- µ2> 0, 1 = 15.4, 2 = 14.5, \sigma 1 = 2, \sigma 2 = 2.28,n1 = 35,n2 = 18 at \alpha = .01,the test statistic used is:$ ₂ = 14.5, $\sigma$ ₁ = 2, $\sigma$ ₂ = 2.28,n₁ = 35,n₂ = 18 at $\alpha$ = .01,the test statistic used is:

(Multiple Choice)

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Question 107

Find a 95 percent confidence interval for the difference between means where n₁ = 50,n₂= 36, $Find a 95 percent confidence interval for the difference between means where n1 = 50,n2= 36, 1 = 80, 2 = 75, \sigma 12 = 5 and \sigma 22 = 3.$ ₁ = 80, $Find a 95 percent confidence interval for the difference between means where n1 = 50,n2= 36, 1 = 80, 2 = 75, \sigma 12 = 5 and \sigma 22 = 3.$ ₂ = 75, $\sigma$ ₁² = 5 and $\sigma$ ₂² = 3.

(Multiple Choice)

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Question 108

When testing a hypothesis about the mean of a population of paired differences in which two different observations are taken on the same units,the correct test statistic to use is:

(Multiple Choice)

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Question 109

Find a 95 percent confidence interval for µ₁- µ₂,where n₁= 9,n₂ = 6, ₁ = 64, ₂ = 59,s₁² = 6 and s₂² = 3.(Assume equal population variances)

(Multiple Choice)

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Question 110

When comparing two independent population means when population variances are not known and the samples are normally distributed,the correct test statistic to use is ____.

(Multiple Choice)

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Question 111

Find a 99 percent confidence interval for the difference between means n₁ = 49,n₂ = 49, $Find a 99 percent confidence interval for the difference between means n1 = 49,n2 = 49, 1 = 87, 2 = 92, \sigma 12 = 13 and \sigma 22 = 15.$ ₁ = 87, $Find a 99 percent confidence interval for the difference between means n1 = 49,n2 = 49, 1 = 87, 2 = 92, \sigma 12 = 13 and \sigma 22 = 15.$ ₂ = 92, $\sigma$ ₁² = 13 and $\sigma$ ₂² = 15.

(Multiple Choice)

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Question 112

A coffee shop franchise owner is looking at two possible locations for a new shop.To help make a decision he looks at the number of pedestrians that go by each of the two locations in one-hour segments.At location A,counts are taken for 35 one-hour units and with a mean number of pedestrians of 421 and a sample standard deviation of 122.At the second location (B),counts are taken for 50 one hour units with a mean number of pedestrians of 347 and a sample standard deviation of 85.Assume the two populations variances are not known but are equal.Calculate the pooled estimate of .

(Multiple Choice)

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Question 113

A marketing research company surveyed grocery shoppers in the east and west coasts to see the percentage of the customers who prefer chicken to other meat.The data are given below. What is the test statistic for this hypothesis test?

(Multiple Choice)

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Question 114

An experiment in which two different measurements are taken on the same units and inferences are made using the differences between the pairs of measurements is a(n)______ experiment.

(Multiple Choice)

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Question 115

What is the value of the F-statistic for H₀: $\sigma$ ₁² $\le$ $\sigma$ ₁²,H_A: $\sigma$ ₁²> $\sigma$ ₁²,where s₁= 3.3,and s₂ = 2.1.

(Multiple Choice)

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Question 116

If we are testing the hypothesis about the mean of a population of paired differences with samples of n₁ = 10,n₂ = 10,the degrees of freedom for the t statistic is ____.

(Multiple Choice)

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Question 117

Find a 95 percent confidence interval for the difference between the proportions of older and younger drivers who have tickets where ₁ = .275, ₂ = .25,n₁= 1000,n₂ = 1000.

(Multiple Choice)

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Question 118

In testing the difference between two independent population means if the variances of the two populations are not equal the critical value of the t statistic is obtained by calculating ___________________.

(Multiple Choice)

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Question 119

In an opinion survey,a random sample of 1000 adults from the U.S.A and 1000 adults from Germany were asked whether they supported the death penalty.590 American adults and 560 German adults indicated that they supported the death penalty.The researcher wants to know if there is sufficient evidence to conclude that the proportion of adults who support the death penalty is higher in the U.S.A.than in Germany.What is the decision at = .10?

(Multiple Choice)

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Question 120

Showing 101 - 120 of 132

In testing the difference between two population variances,it is a common practice to compute the F statistic so that its value is always greater than or equal to one.

When comparing the variances of two normally distributed populations using independent random samples,the correct test statistic to use is __________.

When comparing the variances of two normally distributed populations using independent random samples,if ,the calculated value of F will always be equal to one.

In forming a confidence interval for ,only two assumptions are required: independent samples and sample sizes of at least 30.

When testing a hypothesis about the mean of a population of paired differences in which two different observations are taken on the same units,the correct test statistic to use is:

Find a 95 percent confidence interval for µ₁- µ₂,where n₁= 9,n₂ = 6, ₁ = 64, ₂ = 59,s₁² = 6 and s₂² = 3.(Assume equal population variances)

When comparing two independent population means when population variances are not known and the samples are normally distributed,the correct test statistic to use is ____.

A marketing research company surveyed grocery shoppers in the east and west coasts to see the percentage of the customers who prefer chicken to other meat.The data are given below. What is the test statistic for this hypothesis test?

An experiment in which two different measurements are taken on the same units and inferences are made using the differences between the pairs of measurements is a(n)______ experiment.

What is the value of the F-statistic for H₀: $\sigma$ ₁² $\le$ $\sigma$ ₁²,H_A: $\sigma$ ₁²> $\sigma$ ₁²,where s₁= 3.3,and s₂ = 2.1.

If we are testing the hypothesis about the mean of a population of paired differences with samples of n₁ = 10,n₂ = 10,the degrees of freedom for the t statistic is ____.

Find a 95 percent confidence interval for the difference between the proportions of older and younger drivers who have tickets where ₁ = .275, ₂ = .25,n₁= 1000,n₂ = 1000.

In testing the difference between two independent population means if the variances of the two populations are not equal the critical value of the t statistic is obtained by calculating ___________________.

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Continuous Random Variables

Sampling and Sampling Distributions

Confidence Intervals

Hypothesis Testing

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression

Model Building and Model Diagnostics

Time Series Forecasting

Process Improvement Using Control Charts

Nonparametric Methods

Decision Theory

Filters

Exam 10: Statistical Inferences Based on Two Samples

In testing the difference between two population variances,it is a common practice to compute the F statistic so that its value is always greater than or equal to one.

When comparing the variances of two normally distributed populations using independent random samples,the correct test statistic to use is __________.

When comparing the variances of two normally distributed populations using independent random samples,if ,the calculated value of F will always be equal to one.

In forming a confidence interval for ,only two assumptions are required: independent samples and sample sizes of at least 30.

When we test H0: µ1- µ2 ≤\le≤ 0,HA: µ1- µ2> 0, 1 = 15.4, 2 = 14.5, σ\sigmaσ 1 = 2, σ\sigmaσ 2 = 2.28,n1 = 35,n2 = 18 at α\alphaα = .01,the test statistic used is:

Find a 95 percent confidence interval for the difference between means where n1 = 50,n2= 36, 1 = 80, 2 = 75, σ\sigmaσ 12 = 5 and σ\sigmaσ 22 = 3.

When testing a hypothesis about the mean of a population of paired differences in which two different observations are taken on the same units,the correct test statistic to use is:

Find a 95 percent confidence interval for µ1- µ2,where n1= 9,n2 = 6, 1 = 64, 2 = 59,s12 = 6 and s22 = 3.(Assume equal population variances)

When comparing two independent population means when population variances are not known and the samples are normally distributed,the correct test statistic to use is ____.

Find a 99 percent confidence interval for the difference between means n1 = 49,n2 = 49, 1 = 87, 2 = 92, σ\sigmaσ 12 = 13 and σ\sigmaσ 22 = 15.

A marketing research company surveyed grocery shoppers in the east and west coasts to see the percentage of the customers who prefer chicken to other meat.The data are given below. What is the test statistic for this hypothesis test?

An experiment in which two different measurements are taken on the same units and inferences are made using the differences between the pairs of measurements is a(n)______ experiment.

What is the value of the F-statistic for H0: σ\sigmaσ 12 ≤\le≤ σ\sigmaσ 12,HA: σ\sigmaσ 12> σ\sigmaσ 12,where s1= 3.3,and s2 = 2.1.

If we are testing the hypothesis about the mean of a population of paired differences with samples of n1 = 10,n2 = 10,the degrees of freedom for the t statistic is ____.

Find a 95 percent confidence interval for the difference between the proportions of older and younger drivers who have tickets where 1 = .275, 2 = .25,n1= 1000,n2 = 1000.

In testing the difference between two independent population means if the variances of the two populations are not equal the critical value of the t statistic is obtained by calculating ___________________.

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Continuous Random Variables

Sampling and Sampling Distributions

Confidence Intervals

Hypothesis Testing

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression

Model Building and Model Diagnostics

Time Series Forecasting

Process Improvement Using Control Charts

Nonparametric Methods

Decision Theory

Filters

Find a 95 percent confidence interval for µ₁- µ₂,where n₁= 9,n₂ = 6, ₁ = 64, ₂ = 59,s₁² = 6 and s₂² = 3.(Assume equal population variances)

What is the value of the F-statistic for H₀: $\sigma$ ₁² $\le$ $\sigma$ ₁²,H_A: $\sigma$ ₁²> $\sigma$ ₁²,where s₁= 3.3,and s₂ = 2.1.

If we are testing the hypothesis about the mean of a population of paired differences with samples of n₁ = 10,n₂ = 10,the degrees of freedom for the t statistic is ____.

Find a 95 percent confidence interval for the difference between the proportions of older and younger drivers who have tickets where ₁ = .275, ₂ = .25,n₁= 1000,n₂ = 1000.