Deck 11: Inference on Two Samples
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Deck 11: Inference on Two Samples
1
Test Hypotheses Regarding Matched-Pairs Data


A
2
Test Hypotheses Regarding Matched-Pairs Data



3
Test Hypotheses Regarding Matched-Pairs Data
When performing a hypothesis test upon two dependent samples, the variable of interest is
A) the differences that exist between the matched-pair data.
B) all of the combined data.
C) the absolute value of the differences that exist between the matched-pair data.
D) the data that is the same in both samples.
When performing a hypothesis test upon two dependent samples, the variable of interest is
A) the differences that exist between the matched-pair data.
B) all of the combined data.
C) the absolute value of the differences that exist between the matched-pair data.
D) the data that is the same in both samples.
A
4
Test Hypotheses Regarding Matched-Pairs Data


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5
Test Hypotheses Regarding Matched-Pairs Data
Robustness in hypothesis testing means
A) departures from normality do not adversely affect the results.
B) there are no departures from normality.
C) the data is effected by outliers.
D) all processes can be exactly duplicated by selecting another pair of samples.
Robustness in hypothesis testing means
A) departures from normality do not adversely affect the results.
B) there are no departures from normality.
C) the data is effected by outliers.
D) all processes can be exactly duplicated by selecting another pair of samples.
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6
Classify the two given samples as independent or dependent. Sample 1: The scores of 23 students who took a statistics final Sample 2: The scores of 23 different students who took a physics final
A) independent
B) dependent
A) independent
B) dependent
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7
Construct and Interpret Confidence Intervals about the Population Mean Difference of Matched -Pairs Data


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8
Test Hypotheses Regarding Matched-Pairs Data


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9
Test Hypotheses Regarding Matched-Pairs Data


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10
Classify the two given samples as independent or dependent. Sample 1: The heights in inches of 19 newborn females Sample 2: The heights in inches of 19 newborn males
A) independent
B) dependent
A) independent
B) dependent
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11
Test Hypotheses Regarding Matched-Pairs Data


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12
Test Hypotheses Regarding Matched-Pairs Data


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13

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14
If the individuals selected for a sample have no influence upon which individuals are selected for a second sample, then the samples are said to be
A) independent
B) dependent
C) inconsistent
D) consistent
A) independent
B) dependent
C) inconsistent
D) consistent
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15
Test Hypotheses Regarding Matched-Pairs Data


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16
Test Hypotheses Regarding Matched-Pairs Data


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17
Test Hypotheses Regarding Matched-Pairs Data


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18
Test Hypotheses Regarding Matched-Pairs Data


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19
Two samples are said to be dependent if
A) the individuals in one sample are used to determine the individuals in a second sample.
B) the individuals in one sample have no influence over the selection of the individuals in a second sample.
C) some individuals, but not all, in one sample exert influence over who is selected for inclusion in a second
D) sampling for inclusion in the two samples is done with replacement.
A) the individuals in one sample are used to determine the individuals in a second sample.
B) the individuals in one sample have no influence over the selection of the individuals in a second sample.
C) some individuals, but not all, in one sample exert influence over who is selected for inclusion in a second
D) sampling for inclusion in the two samples is done with replacement.
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20
Test Hypotheses Regarding Matched-Pairs Data


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21
Construct and Interpret Confidence Intervals about the Population Mean Difference of Matched -Pairs Data


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22
Test Hypotheses Regarding the Difference of Two Independent Means


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23
Test Hypotheses Regarding the Difference of Two Independent Means


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24
Construct and Interpret Confidence Intervals about the Population Mean Difference of Matched -Pairs Data


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25
Construct and Interpret Confidence Intervals about the Population Mean Difference of Matched -Pairs Data


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26
Test Hypotheses Regarding the Difference of Two Independent Means


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27
Test Hypotheses Regarding the Difference of Two Independent Means


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28
Test Hypotheses Regarding the Difference of Two Independent Means


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29
Test Hypotheses Regarding the Difference of Two Independent Means


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30
Test Hypotheses Regarding the Difference of Two Independent Means


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31
Test Hypotheses Regarding the Difference of Two Independent Means


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32
Test Hypotheses Regarding the Difference of Two Independent Means


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33
Test Hypotheses Regarding the Difference of Two Independent Means


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34
Test Hypotheses Regarding the Difference of Two Independent Means
A study was conducted to determine if the salaries of librarians from two neighboring cities were equal. A sample of 15 librarians from each city was randomly selected. The mean from the first city was $28,900 with a standard deviation of $2300. The mean from the second city was $30,300 with a standard deviation of $2100. Test the hypothesis that the salaries from both cities are equal.
A study was conducted to determine if the salaries of librarians from two neighboring cities were equal. A sample of 15 librarians from each city was randomly selected. The mean from the first city was $28,900 with a standard deviation of $2300. The mean from the second city was $30,300 with a standard deviation of $2100. Test the hypothesis that the salaries from both cities are equal.
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35
Test Hypotheses Regarding the Difference of Two Independent Means


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36
Test Hypotheses Regarding the Difference of Two Independent Means


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37
Construct and Interpret Confidence Intervals about the Population Mean Difference of Matched -Pairs Data


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38
Test Hypotheses Regarding the Difference of Two Independent Means


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39
Construct and Interpret Confidence Intervals about the Population Mean Difference of Matched -Pairs Data


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40
Construct and Interpret Confidence Intervals about the Population Mean Difference of Matched -Pairs Data


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41
Construct and Interpret Confidence Intervals Regarding the Difference of Two Independent Means


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42
Test Hypotheses Regarding the Difference of Two Independent Means


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43
Test Hypotheses Regarding the Difference of Two Independent Means


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44
Test Hypotheses Regarding the Difference of Two Independent Means
At a local store, 65 female employees were randomly selected and it was found that their mean monthly income was $617 with a standard deviation of $121.50. Seventy-five male employees were also randomly selected and their mean monthly income was found to be $659 with a standard deviation of $168.70. Test the hypothesis that male employees have a higher monthly income than female employees. Use = 0.01.
At a local store, 65 female employees were randomly selected and it was found that their mean monthly income was $617 with a standard deviation of $121.50. Seventy-five male employees were also randomly selected and their mean monthly income was found to be $659 with a standard deviation of $168.70. Test the hypothesis that male employees have a higher monthly income than female employees. Use = 0.01.
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45
Test Hypotheses Regarding the Difference of Two Independent Means


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46
Test Hypotheses Regarding the Difference of Two Independent Means


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47
Test Hypotheses Regarding the Difference of Two Independent Means


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48
Test Hypotheses Regarding the Difference of Two Independent Means
A study was conducted to determine if the salaries of librarians from two neighboring states were equal. A sample of 100 librarians from each state was randomly selected. The mean from the first state was $29,300 with a standard deviation of $2300. The mean from the second state was $30,700 with a standard deviation of $2100. Test the hypothesis that the salaries from both states are equal. Use = 0.05.
A study was conducted to determine if the salaries of librarians from two neighboring states were equal. A sample of 100 librarians from each state was randomly selected. The mean from the first state was $29,300 with a standard deviation of $2300. The mean from the second state was $30,700 with a standard deviation of $2100. Test the hypothesis that the salaries from both states are equal. Use = 0.05.
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49
Construct and Interpret Confidence Intervals Regarding the Difference of Two Independent Means


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50
Test Hypotheses Regarding the Difference of Two Independent Means


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51
Construct and Interpret Confidence Intervals Regarding the Difference of Two Independent Means


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52
Test Hypotheses Regarding the Difference of Two Independent Means


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53
Test Hypotheses Regarding the Difference of Two Independent Means


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54
Test Hypotheses Regarding the Difference of Two Independent Means


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55
Test Hypotheses Regarding the Difference of Two Independent Means


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56
Test Hypotheses Regarding the Difference of Two Independent Means


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57
Test Hypotheses Regarding the Difference of Two Independent Means


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58
Test Hypotheses Regarding the Difference of Two Independent Means


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59
Construct and Interpret Confidence Intervals Regarding the Difference of Two Independent Means


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60
Construct and Interpret Confidence Intervals Regarding the Difference of Two Independent Means


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61
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62
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63
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64
Construct and Interpret Confidence Intervals for the Difference between Two Population Proportions


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65
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66
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67
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68
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69
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70
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71
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72
Construct and Interpret Confidence Intervals for the Difference between Two Population Proportions


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73
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74
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75
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76
Construct and Interpret Confidence Intervals Regarding the Difference of Two Independent Means


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77
Construct and Interpret Confidence Intervals Regarding the Difference of Two Independent Means


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78
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79
Construct and Interpret Confidence Intervals Regarding the Difference of Two Independent Means
A recent study of 100 social workers in a southern state found that their mean salary was $23,000 with a standard deviation of $2100. A similar study of 100 social workers in a western state found that their mean salary was $33,400 with a standard deviation of $3200. Test the claim that the salaries of social workers in the western state is more than $10,000 greater than that of social workers in the southern state. Use = 0.05.
A recent study of 100 social workers in a southern state found that their mean salary was $23,000 with a standard deviation of $2100. A similar study of 100 social workers in a western state found that their mean salary was $33,400 with a standard deviation of $3200. Test the claim that the salaries of social workers in the western state is more than $10,000 greater than that of social workers in the southern state. Use = 0.05.
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80
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