Exam 10: Statistical Inferences Based on Two Samples
Exam 1: An Introduction to Business Statistics54 Questions
Exam 2: Descriptive Statistics: Tabular and Graphical Methods90 Questions
Exam 3: Descriptive Statistics: Numerical Methods149 Questions
Exam 4: Probability135 Questions
Exam 5: Discrete Random Variables128 Questions
Exam 6: Continuous Random Variables150 Questions
Exam 7: Sampling and Sampling Distributions116 Questions
Exam 8: Confidence Intervals144 Questions
Exam 9: Hypothesis Testing148 Questions
Exam 10: Statistical Inferences Based on Two Samples132 Questions
Exam 11: Experimental Design and Analysis of Variance115 Questions
Exam 12: Chi-Square Tests96 Questions
Exam 13: Simple Linear Regression Analysis148 Questions
Exam 14: Multiple Regression122 Questions
Exam 15: Model Building and Model Diagnostics102 Questions
Exam 16: Time Series Forecasting150 Questions
Exam 17: Process Improvement Using Control Charts122 Questions
Exam 18: Nonparametric Methods97 Questions
Exam 19: Decision Theory90 Questions
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A test of spelling ability is given to a random sample of 10 students before and after they completed a spelling 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 was 16.061.Calculate the test statistic to test the claim.
(Multiple Choice)
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When testing the difference between two population proportions using large independent random samples,__________ test statistic is used.
(Multiple Choice)
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An independent samples experiment is an experiment in which there is no relationship between the measurements in the different samples.
(True/False)
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The test of means for two related populations match the observations (matched pairs)in order to reduce the ________________ attributable to the difference between individual observations and other factors.
(Multiple Choice)
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In testing the difference between the means of two normally distributed populations using large independent random samples,the sample sizes from the two populations must be equal in order to use a Z statistic.
(True/False)
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An experiment in which there is no relationship between the measurements on the different samples is a(n)______ experiment.
(Multiple Choice)
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If the limits of the confidence interval of the difference between the means of two normally distributed populations were 8.5 and 11.5 at the 95% confidence level,then we can conclude that we are 95% certain that there is a significant difference between the two population means.
(True/False)
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Use the following data and a test of the equality of variances for two populations at = .10,where sample 1 is randomly selected from population 1 and sample 2 is randomly selected from population 2.Identify the critical value used for testing the equality of the variances.

(Multiple Choice)
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Given the following information about a hypothesis test of the difference between two variances based on independent random samples,what is the critical value of the test statistic at a significance level of .05? Assume that the samples are obtained from normally distributed populations. HA: 2A> 2B,
1 = 12,
2 = 9,s1 = 5,s2 = 3,n1 = 13,n2 = 10.


(Multiple Choice)
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If the limits of the confidence interval of the difference between the means of two normally distributed populations were from -2.6 and 1.4 at the 95% confidence level,then we can conclude that we are 95% certain that there is a significant difference between the two population means.
(True/False)
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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.

(Multiple Choice)
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In comparing the difference between two independent population means,by using two small independent samples,the sampling distributions of the population means are at least approximately ________________.
(Multiple Choice)
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Suppose that a realtor is interested in comparing the price of midrange homes in two cities in a Midwestern state.She conducts a small survey in the two cities looking at the price of midrange homes.Assume equal population variances.
Calculate the 95% confidence interval where pooled variance = 4335357.143

(Multiple Choice)
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In testing the difference between the means of two normally distributed populations,if µ1 = µ2 = 50,n1= 9,n2 = 13,the degrees of freedom for the t statistic is ___________.
(Multiple Choice)
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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.
What is the sample value of the test statistic? (Assume equal population variances)

(Multiple Choice)
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When testing the difference for the 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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Given the following information about a hypothesis test of the difference between two means based on independent random samples,which one of the following is the correct rejection region at a significance level of .05? HA: µA> µB,
1 = 12,
2 = 9,s1 = 4,s2 = 2,n1 = 13,n2 = 10.


(Multiple Choice)
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Assume that we are constructing confidence interval for the difference in the means of two populations based on independent random samples.If both sample sizes
and the distribution of both populations are highly skewed,then a confidence interval for the difference in the means can be constructed using the t test statistic.

(True/False)
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In which of the following tests is the variable of interest the difference between the values of the observations from the two samples rather than the actual observations themselves?
(Multiple Choice)
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In testing the difference between two independent population means,it is assumed that the level of measurement is at least ______________.
(Multiple Choice)
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