Exam 10: Statistical Inferences Based on Two Samples

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In testing the difference between two independent population means,if the assumption is of unequal variances,the critical value of the t statistic is obtained by calculating the ___________________.

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We are testing the hypothesis that the proportion of winter-quarter profit growth is more than 2 percent greater for consumer industry companies (CON)than for banking companies (BKG).At α = .10,given that We are testing the hypothesis that the proportion of winter-quarter profit growth is more than 2 percent greater for consumer industry companies (CON)than for banking companies (BKG).At α = .10,given that   calculate the estimated standard deviation for the model. calculate the estimated standard deviation for the model.

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Find a 95 percent confidence interval for the difference between means,where Find a 95 percent confidence interval for the difference between means,where   Assume unequal variances. Assume unequal variances.

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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. 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.

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When we test H0: p1 - p2 ≤ .01,HA: p1 - p2> .01 at α = .05 where When we test H<sub>0</sub>: p<sub>1</sub> - p<sub>2</sub> ≤ .01,H<sub>A</sub>: p<sub>1</sub> - p<sub>2</sub>> .01 at α = .05 where   can we reject the null hypothesis? can we reject the null hypothesis?

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In testing the equality of population variance,what assumption(s)should be considered?

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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?

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Testing H0: σ12= σ12,HA: σ12> σ22 at α = .01,where n1 = 5,n2 = 6,s12 = 15,750,and s22 = 10,920,can we reject the null hypothesis?

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In order to test the effectiveness of a drug called XZR designed to reduce cholesterol levels,the cholesterol levels of 9 heart patients are measured before they are given the drug.The same 9 patients use XZR for two continuous months.After two months of continuous use,the cholesterol levels are measured again.The comparison of cholesterol levels before versus after administering the drug is an example of testing the difference between:

(Multiple Choice)
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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 ____.

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A marketing research company surveyed grocery shoppers on the East Coast and West Coast to find the percentage of the customers who prefer chicken to other meat.The data are given below. A marketing research company surveyed grocery shoppers on the East Coast and West Coast to find 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? What is the test statistic for this hypothesis test?

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Given two independent normal distributions with s12 - s22 = 100,μ1 = μ2 = 50,n1 = n2 = 50,the sampling distribution of the mean difference Given two independent normal distributions with s<sub>1</sub><sup>2</sup> - s<sub>2</sub><sup>2</sup> = 100,μ<sub>1</sub> = μ<sub>2</sub> = 50,n<sub>1</sub> = n<sub>2</sub> = 50,the sampling distribution of the mean difference   will have a mean of _________. will have a mean of _________.

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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 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. 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.   What is the sample value of the test statistic? (Assume equal population variances. ) What is the sample value of the test statistic? (Assume equal population variances. )

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What is the F statistic for testing H0: σ12 ≤ σ22,HA: σ22> σ12 at α = .05,where n1 = 16,n2 = 19,s12 = .03,and s22 = .02?

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When testing the difference between two population proportions,the _______ test statistic is used.

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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)
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When testing H0: σ12 ≤ σ22 and HA: σ12> σ22,where s12 = .004,s22 = .002,n1 = 4,and n2 = 7 at α = .05,what is the decision on H0?

(Short Answer)
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In an experiment involving matched pairs,a sample of 12 pairs of observations is collected.The degrees of freedom for the t statistic is 10.

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Find a 98 percent confidence interval for the paired difference Find a 98 percent confidence interval for the paired difference

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In testing the difference between two independent population means,it is assumed that the level of measurement is at least ______________.

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