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.
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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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