1. The following table gives a sample of grades on the first two quizzes in an introductory statistics class. We are interested in testing whether the mean grade on the second quiz is significantly higher than the mean grade on the first quiz. The data comes from 15 students where each column represents the score from each student's first and second test. For example, student one got 72 on the first quiz and 78 on the second quiz. First Quiz 72 87 80 98 77 74 85 82 87 86 62 68 84 86 92 88 60 75 99 79 97 89 80 95 75 78 Second Quiz We are going to do a matched pairs test to see if there is sufficient evidence at the 5% significance level to support the claim that there is an increase in grades from the first quiz to the second quiz. a. Define the parameter and state the hypotheses 95 96 56 72 b. Find the observed sample statistic and the test statistic. Use proper notation for the sample statistic (x or p), and clearly identify your test statistic as either a z-score or a t-score. c. Find the p-value of your test statistic. You are required to graph the test statistic on its corresponding distribution shade the appropriate area, and provide correct calculator documentation. Box final answer.

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1.
The following table gives a sample of grades on the first two quizzes in an introductory statistics class. We are
interested in testing whether the mean grade on the second quiz is significantly higher than the mean grade on the
first quiz. The data comes from 15 students where each column represents the score from each student's first and
second test. For example, student one got 72 on the first quiz and 78 on the second quiz.
a.
84
86
92 88
95
96
75
79
First Quiz
72
68
77 62
82 75
60
74 85
98
56 87 80
87
95 86
80
89
78
72
Second Quiz
We are going to do a matched pairs test to see if there is sufficient evidence at the 5% significance level to support
the claim that there is an increase in grades from the first quiz to the second quiz.
Define the parameter and state the hypotheses
99
97
b. Find the observed sample statistic and the test statistic. Use proper notation for the sample statistic (x or p),
and clearly identify your test statistic as either a z-score or a t-score.
c. Find the p-value of your test statistic. You are required to graph the test statistic on its corresponding distribution,
shade the appropriate area, and provide correct calculator documentation. Box final answer.
Transcribed Image Text:1. The following table gives a sample of grades on the first two quizzes in an introductory statistics class. We are interested in testing whether the mean grade on the second quiz is significantly higher than the mean grade on the first quiz. The data comes from 15 students where each column represents the score from each student's first and second test. For example, student one got 72 on the first quiz and 78 on the second quiz. a. 84 86 92 88 95 96 75 79 First Quiz 72 68 77 62 82 75 60 74 85 98 56 87 80 87 95 86 80 89 78 72 Second Quiz We are going to do a matched pairs test to see if there is sufficient evidence at the 5% significance level to support the claim that there is an increase in grades from the first quiz to the second quiz. Define the parameter and state the hypotheses 99 97 b. Find the observed sample statistic and the test statistic. Use proper notation for the sample statistic (x or p), and clearly identify your test statistic as either a z-score or a t-score. c. Find the p-value of your test statistic. You are required to graph the test statistic on its corresponding distribution, shade the appropriate area, and provide correct calculator documentation. Box final answer.
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