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(a) State the null hypothesis H. and the alternative hypothesis H,. B Ho : 0 H :0 (b) Determine the type of test statistic to use. D=0 OSO (Choose one) O20 (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Based on the data, can the professor conclude (using the 0.05 level) that there is a significant linear relationship between number of years spent at the university and score on the first midterm? OYes ONo

(a) State the null hypothesis H. and the alternative hypothesis H,. B Ho : 0 H :0 (b) Determine the type of test statistic to use. D=0 OSO (Choose one) O20 (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Based on the data, can the professor conclude (using the 0.05 level) that there is a significant linear relationship between number of years spent at the university and score on the first midterm? OYes ONo

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 #31
Español The professor of an introductory statistics course has found something interesting: there may be a relationship between scores on his first midterm and the number of years the test-takers have spent at the university. For the 59 students taking the course, the professor found that the least-squares regression equation relating the two variables number of years spent by the student at the university (denoted by x) and score on the first midterm (denoted by y) is y = 78.97 - 2.57x. The standard error of the slope of the least-squares regression line is approximately 1.66. Test for a significant linear relationship between the two variables by doing a hypothesis test regarding the population slope B,. (Assume that the variable y follows a normal distribution for each value of x and that the other regression assumptions are satisfied.) Use the 0.05 level of significance, and perform a two- tailed test. Then complete the parts below. (If necessary, consult a list of formulas.)
Transcribed Image Text:Español The professor of an introductory statistics course has found something interesting: there may be a relationship between scores on his first midterm and the number of years the test-takers have spent at the university. For the 59 students taking the course, the professor found that the least-squares regression equation relating the two variables number of years spent by the student at the university (denoted by x) and score on the first midterm (denoted by y) is y = 78.97 - 2.57x. The standard error of the slope of the least-squares regression line is approximately 1.66. Test for a significant linear relationship between the two variables by doing a hypothesis test regarding the population slope B,. (Assume that the variable y follows a normal distribution for each value of x and that the other regression assumptions are satisfied.) Use the 0.05 level of significance, and perform a two- tailed test. Then complete the parts below. (If necessary, consult a list of formulas.)
(a) State the null hypothesis H. and the alternative hypothesis H,. Ho :0 H :0 (b) Determine the type of test statistic to use. O=0 OSO (Choose one) ロォロ I (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Based on the data, can the professor conclude (using the 0.05 level) that there is a significant linear relationship between number of years spent at the university and score on the first midterm? Yes ONo
Transcribed Image Text:(a) State the null hypothesis H. and the alternative hypothesis H,. Ho :0 H :0 (b) Determine the type of test statistic to use. O=0 OSO (Choose one) ロォロ I (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Based on the data, can the professor conclude (using the 0.05 level) that there is a significant linear relationship between number of years spent at the university and score on the first midterm? Yes ONo
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