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(d) Test the hypothesis at the a = 0.10 level of significance with n= 400 students. Assume that the sample mean is still 526 and the sample standard deviation is still 114. Is a sample mean of 526 significantly more than 520? Conduct a hypothesis test using the P-value approach. Find the test statistic.

(d) Test the hypothesis at the a = 0.10 level of significance with n= 400 students. Assume that the sample mean is still 526 and the sample standard deviation is still 114. Is a sample mean of 526 significantly more than 520? Conduct a hypothesis test using the P-value approach. Find the test statistic.

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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Question 10

Answer part D only!!

A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with u = 520. The teacher obtains a random sample of 2200 students, puts them through the review class, and finds that the mean math score of the 2200 students is 526 with a standard deviation of 114. Complete parts (a) through (d) below. (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 526 statistically significantly higher than 520? Conduct a hypothesis test using the P-value approach. Find the test statistic. to = = 2.47 (Round to two decimal places as needed.) Find the P-value. The P-value is 0.007. (Round to three decimal places as needed.) Is the sample mean statistically significantly higher? A. Yes, because the P-value is less than a = 0.10. B. No, because the P-value is greater than a = 0.10. C. No, because the P-value is less than a = 0.10. D. Yes, because the P-value is greater than a = 0.10. (c) Do you think that a mean math score 526 versus 520 will affect decision of a school admissions administrator? other words, does increase Score ave any practical significance? A. Yes, because the score became more than 1.15% greater. B. No, because every increase in score is practically significant. C. No, because the score became only 1.15% greater. D. Yes, because every increase in score is practically significant. (d) Test the hypothesis at the a = 0.10 level of significance with n = 400 students. Assume that the sample mean is still 526 and the sample standard deviation is still 114. Is a sample mean of 526 significantly more than 520? Conduct a hypothesis test using the P-value approach. Find the test statistic. to (Round to two decimal places as needed.)
Transcribed Image Text:A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with u = 520. The teacher obtains a random sample of 2200 students, puts them through the review class, and finds that the mean math score of the 2200 students is 526 with a standard deviation of 114. Complete parts (a) through (d) below. (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 526 statistically significantly higher than 520? Conduct a hypothesis test using the P-value approach. Find the test statistic. to = = 2.47 (Round to two decimal places as needed.) Find the P-value. The P-value is 0.007. (Round to three decimal places as needed.) Is the sample mean statistically significantly higher? A. Yes, because the P-value is less than a = 0.10. B. No, because the P-value is greater than a = 0.10. C. No, because the P-value is less than a = 0.10. D. Yes, because the P-value is greater than a = 0.10. (c) Do you think that a mean math score 526 versus 520 will affect decision of a school admissions administrator? other words, does increase Score ave any practical significance? A. Yes, because the score became more than 1.15% greater. B. No, because every increase in score is practically significant. C. No, because the score became only 1.15% greater. D. Yes, because every increase in score is practically significant. (d) Test the hypothesis at the a = 0.10 level of significance with n = 400 students. Assume that the sample mean is still 526 and the sample standard deviation is still 114. Is a sample mean of 526 significantly more than 520? Conduct a hypothesis test using the P-value approach. Find the test statistic. to (Round to two decimal places as needed.)
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