When testing H0: $\mu$1 - $\mu$2 = 2,HA: $\mu$1 - $\mu$2> 2,where 1 = 522, 2 = 516, $\sigma$12 = 28, $\sigma$22 = 24,n1= 40,n2 = 30,at $\alpha$ = .01,what can we conclude?

A) Fail to reject H0 B) Reject H0 A) Fail to reject H0 B) Reject H0

When we test H0: $\mu$1 $\le$ $\mu$2,HA: $\mu$1 > $\mu$2at $\alpha$ = .10,where 1 = 77.4, 2 = 72.2,s1 = 3.3,s2 = 2.1,n1 = 6,n2= 6,what is the estimated pooled variance?

A) 2.77 B) 6.38 C) 2.52 D) 7.65 A) 2.77 B) 6.38 C) 2.52 D) 7.65

When testing H0: $\sigma$12 $\le$ $\sigma$22 HA: $\sigma$12> $\sigma$22 where s12 = .004,s22 = .002,n1 = 4,n2 = 7 at $\alpha$ = .05,what is the decision on H0?

A) Reject the null hypothesis B) Do not reject the null hypothesis A) Reject the null hypothesis B) Do not reject the null hypothesis

When comparing two independent population means where the population variances are known and n1 and n2 are sufficiently large,the correct test statistic to use is ____.

A) Z B) t C) F D) t2 A) Z B) t C) F D) t2

Exam 10: Statistical Inferences Based on Two Samples

Let p₁ represent the population proportion of U.S.Senate and Congress (House of Representatives)democrats who are in favor of a new modest tax on "junk food".Let p₂ represent the population proportion of U.S.Senate and Congress (House of Representative)republicans who are in favor of a new modest tax on "junk food".Out of the 265 democratic senators and congressman 106 of them are in favor of a "junk food" tax.Out of the 285 republican senators and congressman only 57 of them are in favor of a "junk food" tax.Find a 95 percent confidence interval for the difference between proportions l and 2.

(Multiple Choice)

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Question 21

When testing H₀: $\mu$ ₁ - $\mu$ ₂ = 2,H_A: $\mu$ ₁ - $\mu$ ₂> 2,where $When testing H0: \mu 1 - \mu 2 = 2,HA: \mu 1 - \mu 2> 2,where 1 = 522, 2 = 516, \sigma 12 = 28, \sigma 22 = 24,n1= 40,n2 = 30,at \alpha = .01,what can we conclude?$ ₁ = 522, $When testing H0: \mu 1 - \mu 2 = 2,HA: \mu 1 - \mu 2> 2,where 1 = 522, 2 = 516, \sigma 12 = 28, \sigma 22 = 24,n1= 40,n2 = 30,at \alpha = .01,what can we conclude?$ ₂ = 516, $\sigma$ ₁² = 28, $\sigma$ ₂² = 24,n₁= 40,n₂ = 30,at $\alpha$ = .01,what can we conclude?

(Multiple Choice)

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Question 22

If the Z statistic (critical value)is incorrectly used in lieu of the t statistic when comparing two means from independent populations using small samples,the chance of rejecting the null hypothesis __________.

(Multiple Choice)

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Question 23

When we test H₀: $\mu$ ₁ $\le$ $\mu$ ₂,H_A: $\mu$ ₁ > $\mu$ ₂at $\alpha$ = .10,where $When we test H0: \mu 1 \le \mu 2,HA: \mu 1 > \mu 2at \alpha = .10,where 1 = 77.4, 2 = 72.2,s1 = 3.3,s2 = 2.1,n1 = 6,n2= 6,what is the estimated pooled variance?$ ₁ = 77.4, $When we test H0: \mu 1 \le \mu 2,HA: \mu 1 > \mu 2at \alpha = .10,where 1 = 77.4, 2 = 72.2,s1 = 3.3,s2 = 2.1,n1 = 6,n2= 6,what is the estimated pooled variance?$ ₂ = 72.2,s₁ = 3.3,s₂ = 2.1,n₁ = 6,n₂= 6,what is the estimated pooled variance?

(Multiple Choice)

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Question 24

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.Setup the null hypothesis to test the claim that both sites have the same number of pedestrians.

(Multiple Choice)

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Question 25

Given the following information about a hypothesis test of the difference between two means based on independent random samples,what is the calculated value of the test statistic? Assume that the samples are obtained from normally distributed populations having equal variances. H_A: µ_A> µ_B, ₁ = 12, ₂ = 9,s₁ = 5,s₂ = 3,n₁ = 13,n₂ = 10.

(Multiple Choice)

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Question 26

In a market research study conducted by a local winery on white wine preference,the following results were found.Of a sample of 500 men,120 preferred white wine and of a sample of 500 women,210 preferred white wine.What do you conclude at $\alpha$ = .05 about the claim that women are 25% higher than men on preference for white wine?

(Multiple Choice)

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Question 27

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. At an alpha level of .05,can we conclude that there has been a significant decrease in the mean time per mile?

(Multiple Choice)

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Question 28

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. Is the proportion of customers who prefer chicken higher at the West Coast? Test at = .05.

(Multiple Choice)

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Question 29

In testing for the equality of means from two independent populations,if the hypothesis of equal population means is rejected at $\alpha$ = .01,it will __________ be rejected at $\alpha$ = .05.

(Multiple Choice)

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Question 30

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 sample value of the test statistic?

(Multiple Choice)

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Question 31

Given the following information about a hypothesis test of the difference between two variances based on independent random samples,what is the calculated value of the test statistic? Assume that the samples are obtained from normally distributed populations. H_A: $\sigma$ ²_A> $\sigma$ ²_B, $Given the following information about a hypothesis test of the difference between two variances based on independent random samples,what is the calculated value of the test statistic? Assume that the samples are obtained from normally distributed populations. HA: \sigma 2A> \sigma 2B, 1 = 12, 2 = 9,s1 = 5,s2 = 3,n1 = 13,n2 = 10.$ ₁ = 12, $Given the following information about a hypothesis test of the difference between two variances based on independent random samples,what is the calculated value of the test statistic? Assume that the samples are obtained from normally distributed populations. HA: \sigma 2A> \sigma 2B, 1 = 12, 2 = 9,s1 = 5,s2 = 3,n1 = 13,n2 = 10.$ ₂ = 9,s₁ = 5,s₂ = 3,n₁ = 13,n₂ = 10.

(Multiple Choice)

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Question 32

When comparing two independent population means by using small samples selected from two independent normally distributed populations with equal variances,the correct test statistic to use is ____.

(Multiple Choice)

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Question 33

When comparing two independent population variances,the correct test statistic to use is __________.

(Multiple Choice)

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Question 34

When testing H₀: $\sigma$ ₁² $\le$ $\sigma$ ₂² H_A: $\sigma$ ₁²> $\sigma$ ₂² where s₁² = .004,s₂² = .002,n₁ = 4,n₂ = 7 at $\alpha$ = .05,what is the decision on H₀?

(Multiple Choice)

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Question 35

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 took 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. $A fast food company uses two management-training methods.Method 1 is a traditional method of training and Method 2 is a new and innovative method.The company has just hired 31 new management trainees.15 of the trainees are randomly selected and assigned to the first method,and the remaining 16 trainees are assigned to the second training method.After three months of training,the management trainees took a standardized test.The test was designed to evaluate their performance and learning from training.The sample mean score and sample standard deviation of the two methods are given below.The management wants to determine if the company should implement the new training method. Is there evidence at \alpha = .01 to conclude that the new training method is more effective than the traditional training method?$ Is there evidence at $\alpha$ = .01 to conclude that the new training method is more effective than the traditional training method?

(Multiple Choice)

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Question 36

Find a 90 percent confidence interval for the difference between the proportions of failures in factory 1 and factory 2 where ₁ = .05, ₂ = .04,n₁= 500,n₂ = 2000.

(Multiple Choice)

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Question 37

When comparing two independent population means where the population variances are known and n₁ and n₂ are sufficiently large,the correct test statistic to use is ____.

(Multiple Choice)

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Question 38

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.

(Multiple Choice)

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Question 39

In testing the difference between the means of two normally distributed populations using large independent random samples,we can only use a two-sided test.

(True/False)

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Question 40

Showing 21 - 40 of 132

If the Z statistic (critical value)is incorrectly used in lieu of the t statistic when comparing two means from independent populations using small samples,the chance of rejecting the null hypothesis __________.

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. Is the proportion of customers who prefer chicken higher at the West Coast? Test at = .05.

In testing for the equality of means from two independent populations,if the hypothesis of equal population means is rejected at $\alpha$ = .01,it will __________ be rejected at $\alpha$ = .05.

When comparing two independent population means by using small samples selected from two independent normally distributed populations with equal variances,the correct test statistic to use is ____.

When comparing two independent population variances,the correct test statistic to use is __________.

When testing H₀: $\sigma$ ₁² $\le$ $\sigma$ ₂² H_A: $\sigma$ ₁²> $\sigma$ ₂² where s₁² = .004,s₂² = .002,n₁ = 4,n₂ = 7 at $\alpha$ = .05,what is the decision on H₀?

Find a 90 percent confidence interval for the difference between the proportions of failures in factory 1 and factory 2 where ₁ = .05, ₂ = .04,n₁= 500,n₂ = 2000.

When comparing two independent population means where the population variances are known and n₁ and n₂ are sufficiently large,the correct test statistic to use is ____.

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.

In testing the difference between the means of two normally distributed populations using large independent random samples,we can only use a two-sided test.

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

When testing H0: μ\muμ 1 - μ\muμ 2 = 2,HA: μ\muμ 1 - μ\muμ 2> 2,where 1 = 522, 2 = 516, σ\sigmaσ 12 = 28, σ\sigmaσ 22 = 24,n1= 40,n2 = 30,at α\alphaα = .01,what can we conclude?

If the Z statistic (critical value)is incorrectly used in lieu of the t statistic when comparing two means from independent populations using small samples,the chance of rejecting the null hypothesis __________.

When we test H0: μ\muμ 1 ≤\le≤ μ\muμ 2,HA: μ\muμ 1 > μ\muμ 2at α\alphaα = .10,where 1 = 77.4, 2 = 72.2,s1 = 3.3,s2 = 2.1,n1 = 6,n2= 6,what is the estimated pooled variance?

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. Is the proportion of customers who prefer chicken higher at the West Coast? Test at = .05.

In testing for the equality of means from two independent populations,if the hypothesis of equal population means is rejected at α\alphaα = .01,it will __________ be rejected at α\alphaα = .05.

When comparing two independent population means by using small samples selected from two independent normally distributed populations with equal variances,the correct test statistic to use is ____.

When comparing two independent population variances,the correct test statistic to use is __________.

When testing H0: σ\sigmaσ 12 ≤\le≤ σ\sigmaσ 22 HA: σ\sigmaσ 12> σ\sigmaσ 22 where s12 = .004,s22 = .002,n1 = 4,n2 = 7 at α\alphaα = .05,what is the decision on H0?

Find a 90 percent confidence interval for the difference between the proportions of failures in factory 1 and factory 2 where 1 = .05, 2 = .04,n1= 500,n2 = 2000.

When comparing two independent population means where the population variances are known and n1 and n2 are sufficiently large,the correct test statistic to use is ____.

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.

In testing the difference between the means of two normally distributed populations using large independent random samples,we can only use a two-sided test.

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

In testing for the equality of means from two independent populations,if the hypothesis of equal population means is rejected at $\alpha$ = .01,it will __________ be rejected at $\alpha$ = .05.

When testing H₀: $\sigma$ ₁² $\le$ $\sigma$ ₂² H_A: $\sigma$ ₁²> $\sigma$ ₂² where s₁² = .004,s₂² = .002,n₁ = 4,n₂ = 7 at $\alpha$ = .05,what is the decision on H₀?

Find a 90 percent confidence interval for the difference between the proportions of failures in factory 1 and factory 2 where ₁ = .05, ₂ = .04,n₁= 500,n₂ = 2000.

When comparing two independent population means where the population variances are known and n₁ and n₂ are sufficiently large,the correct test statistic to use is ____.