When we test H0: p1 − p2 ≤ .01, HA: p1 − p2 > .01, at α = .05, where = .08, = .035, n1 = 200, and n2= 400, what is the standard deviation used to calculate the test statistic?

.0213 @#IMG-DLM& = @#IMG-DLM& = .0213 Z

Calculate the t statistic for testing equality of means where 1 = 8.2, 2 = 11.3, s12 = 5.4, s22 = 5.2, n1 = 6, and n2 = 7. (Assume equal population variances.)

−2.42 s 2 = [(6 − 1)(5.4) + (7 −

Exam 11: Statistical Inferences Based on Two Samples

When we test H₀: p₁ − p₂ ≤ .01, H_A: p₁ − p₂ > .01, at α = .05, where = .08, = .035, n₁ = 200, and n₂= 400, what is the standard deviation used to calculate the test statistic?

(Short Answer)

4.8/5

(33)

Question 121

A fast-food company uses two management-training methods. Method 1 is a traditional method of training, and Method 2 is a new and innovative method. The company has just hired 31 new management trainees. 15 of the trainees are randomly selected and assigned to the first method, and the remaining 16 trainees are assigned to the second training method. After three months of training, the management trainees take a standardized test. The test was designed to evaluate their performance and learning from training. The sample mean score and sample standard deviation of the two methods are given below. The management wants to determine if the company should implement the new training method. Is there evidence at α = .05 to conclude that the new training method is more effective than the traditional training method?

(Short Answer)

4.8/5

(35)

Question 122

A test of mathematical ability is given to a random sample of 10 eighth-grade students before and after they complete a semester-long basic mathematics course. The mean score before the course was 119.60, and after the course the mean score was 130.80. The standard deviation of the difference is 16.061. What do you conclude at α = .01? Use confidence intervals to draw your conclusion.

(Short Answer)

4.9/5

(39)

Question 123

The test of means for two related populations matches the observations (matched pairs) in order to reduce the ________ attributable to the difference between individual observations and other factors.

(Multiple Choice)

4.9/5

(40)

Question 124

If we are testing the hypothesis about the mean of a population of paired differences with samples of n₁ = 8, n₂ = 8, the degrees of freedom for the t statistic is ________.

(Multiple Choice)

4.8/5

(40)

Question 125

Find a 95 percent confidence interval for the difference between the proportions of people who prefer cola versus root beer (RB), where _cola = .21, = .12, n_cola = 200, and n_RB = 150.

(Short Answer)

4.9/5

(32)

Question 126

The registrar at a state college is interested in determining whether there is a difference of more than one credit hour between male and female students in the average number of credit hours taken during a term. She selected a random sample of 60 male and 60 female students and observed the following sample information. Calculate the test statistic to be used in the analysis. Assume unequal variances.

(Short Answer)

4.8/5

(38)

Question 127

The exact shape of the curve of the F distribution depends on two parameters, df₁ and df₂.

(True/False)

4.7/5

(32)

Question 128

Calculate the pooled variance where sample 1 has data: 16, 14, 19, 18, 19, 20, 15, 18, 17, 18; and sample 2 has data: 13, 19, 14, 17, 21, 14, 15, 10, 13, 15.

(Short Answer)

4.8/5

(42)

Question 129

A financial analyst working for a financial consulting company wishes to find evidence that the average price-to-earnings ratio in the consumer industry is higher than the average price-to-earnings ratio in the banking industry. The alternative hypothesis is

(Multiple Choice)

4.9/5

(36)

Question 130

Coach Z, the mid-distance running coach 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. Their times (in minutes) for the 1500-meter run were recorded before and after six months of training under Coach Z. The results are given below. At an alpha level of .05, can we conclude that there has been a significant decrease in the meantime?

(Short Answer)

4.8/5

(34)

Question 131

Determine the 95 percent confidence interval for the difference between two population means, where sample 1 has data: 16, 14, 19, 18, 19, 20, 15, 18, 17, 18; and sample 2 has data: 13, 19, 14, 17, 21, 14, 15, 10, 13, 15. (Assume equal population variances.)

(Short Answer)

4.9/5

(31)

Question 132

When comparing the variances of two normally distributed populations using independent random samples, if s₁² = s₁², the calculated value of F will always be equal to one.

(True/False)

4.8/5

(24)

Question 133

When we test H₀: μ₁ − μ₂ ≤ 0, H_A: μ₁ − μ₂ > 0, ₁ = 15.4, ₂ = 14.5, σ₁ = 2, σ₂ = 2.28, n₁ = 35, and n₂ = 18 at α = .01, what is the value of the test statistic?

(Short Answer)

4.8/5

(39)

Question 134

Calculate the t statistic for testing equality of means where ₁ = 8.2, ₂ = 11.3, s₁² = 5.4, s₂² = 5.2, n₁ = 6, and n₂ = 7. (Assume equal population variances.)

(Short Answer)

4.8/5

(33)

Question 135

When we are testing a hypothesis about the difference in two population proportions based on large independent samples, we compute a combined (pooled) proportion from the two samples if we assume that there is no difference between the two proportions in our null hypothesis.

(True/False)

4.8/5

(42)

Question 136

When comparing two independent population means, if n₁ = 13 and n₂ = 10, degrees of freedom for the t statistic is 22.

(True/False)

4.9/5

(33)

Question 137

A test of mathematical ability is given to a random sample of 10 eighth-grade students before and after they complete a semester-long basic mathematics course. The mean score before the course was 119.60, and after the course the mean score was 130.80. The standard deviation of the difference is 16.061. Calculate a 99 percent confidence interval.

(Short Answer)

4.8/5

(30)

Question 138

The registrar at a state college is interested in determining whether there is a difference of more than one credit hour between male and female students in the average number of credit hours taken during a term. She selected a random sample of 60 male and 60 female students and observed the following sample information. Set up the alternative hypothesis to test the claim.

(Short Answer)

4.8/5

(34)

Question 139

Using a 90 percent confidence interval of [−.0076, .0276] for the difference between the proportions of failures in factory 1 and factory 2, where = 05, = .24, n₁ = 500, and n₂ = 2000, can we reject the null hypothesis at α = .10?

(Short Answer)

4.8/5

(32)

Question 140

Showing 121 - 140 of 140

When we test H₀: p₁ − p₂ ≤ .01, H_A: p₁ − p₂ > .01, at α = .05, where = .08, = .035, n₁ = 200, and n₂= 400, what is the standard deviation used to calculate the test statistic?

The test of means for two related populations matches the observations (matched pairs) in order to reduce the ________ attributable to the difference between individual observations and other factors.

If we are testing the hypothesis about the mean of a population of paired differences with samples of n₁ = 8, n₂ = 8, the degrees of freedom for the t statistic is ________.

Find a 95 percent confidence interval for the difference between the proportions of people who prefer cola versus root beer (RB), where _cola = .21, = .12, n_cola = 200, and n_RB = 150.

The exact shape of the curve of the F distribution depends on two parameters, df₁ and df₂.

Calculate the pooled variance where sample 1 has data: 16, 14, 19, 18, 19, 20, 15, 18, 17, 18; and sample 2 has data: 13, 19, 14, 17, 21, 14, 15, 10, 13, 15.

A financial analyst working for a financial consulting company wishes to find evidence that the average price-to-earnings ratio in the consumer industry is higher than the average price-to-earnings ratio in the banking industry. The alternative hypothesis is

Determine the 95 percent confidence interval for the difference between two population means, where sample 1 has data: 16, 14, 19, 18, 19, 20, 15, 18, 17, 18; and sample 2 has data: 13, 19, 14, 17, 21, 14, 15, 10, 13, 15. (Assume equal population variances.)

When comparing the variances of two normally distributed populations using independent random samples, if s₁² = s₁², the calculated value of F will always be equal to one.

When we test H₀: μ₁ − μ₂ ≤ 0, H_A: μ₁ − μ₂ > 0, ₁ = 15.4, ₂ = 14.5, σ₁ = 2, σ₂ = 2.28, n₁ = 35, and n₂ = 18 at α = .01, what is the value of the test statistic?

Calculate the t statistic for testing equality of means where ₁ = 8.2, ₂ = 11.3, s₁² = 5.4, s₂² = 5.2, n₁ = 6, and n₂ = 7. (Assume equal population variances.)

When we are testing a hypothesis about the difference in two population proportions based on large independent samples, we compute a combined (pooled) proportion from the two samples if we assume that there is no difference between the two proportions in our null hypothesis.

When comparing two independent population means, if n₁ = 13 and n₂ = 10, degrees of freedom for the t statistic is 22.

Using a 90 percent confidence interval of [−.0076, .0276] for the difference between the proportions of failures in factory 1 and factory 2, where = 05, = .24, n₁ = 500, and n₂ = 2000, can we reject the null hypothesis at α = .10?

An Introduction to Business Statistics and Analytics

Descriptive Statistics and Analytics: Tabular and Graphical Methods

Descriptive Statistics and Analytics: Numerical Methods

Probability and Probability Models

Predictive Analytics I: Trees, K-Nearest Neighbors, Naive Bayes,

Discrete Random Variables

Continuous Random Variables

Sampling Distributions

Confidence Intervals

Hypothesis Testing

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Predictive Analytics Ii: Logistic Regression, Discriminate Analysis,

Time Series Forecasting and Index Numbers

Nonparametric Methods

Decision Theory

Filters

Exam 11: Statistical Inferences Based on Two Samples

When we test H0: p1 − p2 ≤ .01, HA: p1 − p2 > .01, at α = .05, where = .08, = .035, n1 = 200, and n2= 400, what is the standard deviation used to calculate the test statistic?

The test of means for two related populations matches the observations (matched pairs) in order to reduce the ________ attributable to the difference between individual observations and other factors.

If we are testing the hypothesis about the mean of a population of paired differences with samples of n1 = 8, n2 = 8, the degrees of freedom for the t statistic is ________.

Find a 95 percent confidence interval for the difference between the proportions of people who prefer cola versus root beer (RB), where cola = .21, = .12, ncola = 200, and nRB = 150.

The exact shape of the curve of the F distribution depends on two parameters, df1 and df2.

Calculate the pooled variance where sample 1 has data: 16, 14, 19, 18, 19, 20, 15, 18, 17, 18; and sample 2 has data: 13, 19, 14, 17, 21, 14, 15, 10, 13, 15.

A financial analyst working for a financial consulting company wishes to find evidence that the average price-to-earnings ratio in the consumer industry is higher than the average price-to-earnings ratio in the banking industry. The alternative hypothesis is

Determine the 95 percent confidence interval for the difference between two population means, where sample 1 has data: 16, 14, 19, 18, 19, 20, 15, 18, 17, 18; and sample 2 has data: 13, 19, 14, 17, 21, 14, 15, 10, 13, 15. (Assume equal population variances.)

When comparing the variances of two normally distributed populations using independent random samples, if s12 = s12, the calculated value of F will always be equal to one.

When we test H0: μ1 − μ2 ≤ 0, HA: μ1 − μ2 > 0, 1 = 15.4, 2 = 14.5, σ1 = 2, σ2 = 2.28, n1 = 35, and n2 = 18 at α = .01, what is the value of the test statistic?

Calculate the t statistic for testing equality of means where 1 = 8.2, 2 = 11.3, s12 = 5.4, s22 = 5.2, n1 = 6, and n2 = 7. (Assume equal population variances.)

When we are testing a hypothesis about the difference in two population proportions based on large independent samples, we compute a combined (pooled) proportion from the two samples if we assume that there is no difference between the two proportions in our null hypothesis.

When comparing two independent population means, if n1 = 13 and n2 = 10, degrees of freedom for the t statistic is 22.

Using a 90 percent confidence interval of [−.0076, .0276] for the difference between the proportions of failures in factory 1 and factory 2, where = 05, = .24, n1 = 500, and n2 = 2000, can we reject the null hypothesis at α = .10?

An Introduction to Business Statistics and Analytics

Descriptive Statistics and Analytics: Tabular and Graphical Methods

Descriptive Statistics and Analytics: Numerical Methods

Probability and Probability Models

Predictive Analytics I: Trees, K-Nearest Neighbors, Naive Bayes,

Discrete Random Variables

Continuous Random Variables

Sampling Distributions

Confidence Intervals

Hypothesis Testing

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Predictive Analytics Ii: Logistic Regression, Discriminate Analysis,

Time Series Forecasting and Index Numbers

Nonparametric Methods

Decision Theory

Filters

When we test H₀: p₁ − p₂ ≤ .01, H_A: p₁ − p₂ > .01, at α = .05, where = .08, = .035, n₁ = 200, and n₂= 400, what is the standard deviation used to calculate the test statistic?

If we are testing the hypothesis about the mean of a population of paired differences with samples of n₁ = 8, n₂ = 8, the degrees of freedom for the t statistic is ________.

Find a 95 percent confidence interval for the difference between the proportions of people who prefer cola versus root beer (RB), where _cola = .21, = .12, n_cola = 200, and n_RB = 150.

The exact shape of the curve of the F distribution depends on two parameters, df₁ and df₂.

When comparing the variances of two normally distributed populations using independent random samples, if s₁² = s₁², the calculated value of F will always be equal to one.

When we test H₀: μ₁ − μ₂ ≤ 0, H_A: μ₁ − μ₂ > 0, ₁ = 15.4, ₂ = 14.5, σ₁ = 2, σ₂ = 2.28, n₁ = 35, and n₂ = 18 at α = .01, what is the value of the test statistic?

Calculate the t statistic for testing equality of means where ₁ = 8.2, ₂ = 11.3, s₁² = 5.4, s₂² = 5.2, n₁ = 6, and n₂ = 7. (Assume equal population variances.)

When comparing two independent population means, if n₁ = 13 and n₂ = 10, degrees of freedom for the t statistic is 22.

Using a 90 percent confidence interval of [−.0076, .0276] for the difference between the proportions of failures in factory 1 and factory 2, where = 05, = .24, n₁ = 500, and n₂ = 2000, can we reject the null hypothesis at α = .10?