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A group of 19 people from New York and a group of 14 people from Los Angeles passed the same quiz. The mean grade of group A is 84 points, with the standard deviation o, = 3, the mean grade of group B is 83 points, o, = 2. Use a = 0.05. Assuming that the subjects are chosen randomly, the cities' population are independent and the points are normally distributed: (a) Check if there is a significant difference between the mean grades of the groups. Find the P-value of this test. Round your answer to four decimal places (e.g. 98.7654). Round your answer to three decimal places (e.g. 98.765). P- value =

A group of 19 people from New York and a group of 14 people from Los Angeles passed the same quiz. The mean grade of group A is 84 points, with the standard deviation o, = 3, the mean grade of group B is 83 points, o, = 2. Use a = 0.05. Assuming that the subjects are chosen randomly, the cities' population are independent and the points are normally distributed: (a) Check if there is a significant difference between the mean grades of the groups. Find the P-value of this test. Round your answer to four decimal places (e.g. 98.7654). Round your answer to three decimal places (e.g. 98.765). P- value =

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A group of 19 people from New York and a group of 14 people from Los Angeles passed the same quiz. The mean grade of group A is 84 points, with the standard deviation o, = 3, the mean grade of group B is 83 points, o, = 2. Use a = 0.05. Assuming that the subjects are chosen randomly, the cities' population are independent and the points are normally distributed: (a) Check if there is a significant difference between the mean grades of the groups. Find the P-value of this test. Round your answer to four decimal places (e.g. 98.7654). Round your answer to three decimal places (e.g. 98.765). P- value = i (b) Explain how the test could be conducted with a confidence interval. Round your answers to three decimal places (e.g. 98.765). We are 95% confident that value 1 exceeds value 2 by between i i (c) What is the power of the test for the true difference in means of 2? Round your answer to three decimal places (e.g. 98.765). The power of the test is 1 - B = (d) Assume that sample sizes are equal. What group size should be considered to obtain B = 0.1 if the true difference in means is 2? We should use n, = n, = i
Transcribed Image Text:A group of 19 people from New York and a group of 14 people from Los Angeles passed the same quiz. The mean grade of group A is 84 points, with the standard deviation o, = 3, the mean grade of group B is 83 points, o, = 2. Use a = 0.05. Assuming that the subjects are chosen randomly, the cities' population are independent and the points are normally distributed: (a) Check if there is a significant difference between the mean grades of the groups. Find the P-value of this test. Round your answer to four decimal places (e.g. 98.7654). Round your answer to three decimal places (e.g. 98.765). P- value = i (b) Explain how the test could be conducted with a confidence interval. Round your answers to three decimal places (e.g. 98.765). We are 95% confident that value 1 exceeds value 2 by between i i (c) What is the power of the test for the true difference in means of 2? Round your answer to three decimal places (e.g. 98.765). The power of the test is 1 - B = (d) Assume that sample sizes are equal. What group size should be considered to obtain B = 0.1 if the true difference in means is 2? We should use n, = n, = i
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