Exam 11: Two-Sample Tests of Hypothesis
Exam 1: What Is Statistics79 Questions
Exam 2: Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation129 Questions
Exam 3: Describing Data: Numerical Measures117 Questions
Exam 4: Describing Data: Displaying and Exploring Data92 Questions
Exam 5: A Survey of Probability Concepts121 Questions
Exam 6: Discrete Probability Distributions114 Questions
Exam 7: Continuous Probability Distributions100 Questions
Exam 8: Sampling Methods and the Central Limit Theorem114 Questions
Exam 9: Estimation and Confidence Intervals114 Questions
Exam 10: One-Sample Tests of Hypothesis129 Questions
Exam 11: Two-Sample Tests of Hypothesis122 Questions
Exam 12: Analysis of Variance92 Questions
Exam 13: Correlation and Linear Regression130 Questions
Exam 14: Multiple Regression Analysis122 Questions
Exam 15: Nonparametric Methods: Goodness-Of-Fit Tests128 Questions
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If we are testing for the difference between two population proportions, it is assumed that the two samples are large enough that the binomial distribution can be approximated by ______.
(Short Answer)
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The paired t test is especially appropriate when the two samples are ________.
(Short Answer)
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A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized next.
At the .01 significance level, is there a difference in the mean number of times men and women send a Twitter message in a day? What is the p-value for this hypothesis test?

(Multiple Choice)
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If two dependent samples of size 20 are used to test the difference between the means, the degrees of freedom for a t-statistic are 19.
(True/False)
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When the standard deviations are equal but unknown, a test for the differences between two population means has n - 1 degrees of freedom.
(True/False)
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A study by a bank compared the average savings of customers who were depositors for three years or less with those who had been depositors for more than three years. The results of a sample are:
To test that the two groups of customers have equal savings rates, what is the critical value of z using α = 0.05?

(Short Answer)
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The pooled estimate of the proportion is found by dividing the total number of successes by ___________________________.
(Short Answer)
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An investigation of the effectiveness of a training program to improve customer relationships included a pre-training and post-training customer survey. To compare the differences, they computed (post-training survey score - pre-training survey score). Seven customers were randomly selected and completed both surveys. The results follow.
This analysis is an example of _____________.

(Multiple Choice)
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Which condition must be met to conduct a test for the difference in two sample means using a z-statistic?
(Multiple Choice)
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If we are testing for the difference between two population proportions, it is assumed that the two populations follow the ________________ distribution.
(Short Answer)
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To compare the effect of weather on sales of soft drinks, a distributor surveyed people in two regions of the country and asked if they purchased soft drinks in the last month. The following are the results. The distributor would like to know if there is a difference in sales between the two regions.
Using the 1% level of significance, what is the critical value?

(Short Answer)
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Two samples, one of size 14 and the second of size 13, are selected to test the difference between two population means. How many degrees of freedom are used to find the critical value? Assume the population standard deviations are equal.
(Multiple Choice)
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When testing the null hypothesis that two population means are equal, the hypothesized difference between the population means is ________________.
(Short Answer)
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If the null hypothesis that two means are equal is true, where will 97% of the computed z values lie between?
(Multiple Choice)
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If two dependent samples of size 100 are used to test the difference between the means, the degrees of freedom for a t-statistic are _____.
(Short Answer)
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A sample of 250 adults tried the new multigrain cereal "Wow!" A total of 187 rated it as excellent. In a sample of 100 children, 66 rated it as excellent. Using the 0.1 significance level, the researcher wishes to show that adults like the cereal better than children. What is the pooled proportion?
(Multiple Choice)
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A financial planner wants to compare the yield of income and growth mutual funds. Fifty thousand dollars is invested in each of a sample of 35 income and 40 growth funds. The mean increase for a two-year period for the income funds is $900. For the growth funds, the mean increase is $875. Income funds have a sample standard deviation of $35; growth funds have a sample standard deviation of $45. Assume that the population standard deviations are equal. At the 0.05 significance level, is there a difference in the mean yields of the two funds?
What is the null hypothesis?
(Essay)
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A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized next.
At the .01 significance level, is there a difference in the mean number of times men and women send a Twitter message in a day? Based on the p-value, what is your conclusion?

(Multiple Choice)
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When testing for a difference between the means of two dependent samples, the sample test statistic is a ______________.
(Short Answer)
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If a hypothesis states that one population mean is greater than another population mean, then the test is _______________.
(Short Answer)
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