Coastal State University is conducting a study regarding the possible relationship between the cumulative grade point average and the annual income of its recent graduates. A random sample of 142 Coastal State graduates from the last five years was selected, and it was found that the sample correlation coefficient between cumulative grade point average and annual income was 0.10. Test for a significant linear relationship between grade point average and annual income for the recent graduates of Coastal State by doing a hypothesis test regarding the population correlation coefficient p. (Assume that the two variables have a bivariate normal distribution.) Use the 0.10 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 and the alternative hypothesis H₁. Ho :O H₁ :0 (b) Determine the type of test statistic to use. (Choose one) (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.) 0 (e) Based on the data, can the university conclude (using the 0.10 level) that there is a significant linear relationship between grade point average and annual income for its recent graduates? O Yes O No B |x X Р 8 0-0 050 O>0 020000<0 X F 5
Coastal State University is conducting a study regarding the possible relationship between the cumulative grade point average and the annual income of its recent graduates. A random sample of 142 Coastal State graduates from the last five years was selected, and it was found that the sample correlation coefficient between cumulative grade point average and annual income was 0.10. Test for a significant linear relationship between grade point average and annual income for the recent graduates of Coastal State by doing a hypothesis test regarding the population correlation coefficient p. (Assume that the two variables have a bivariate normal distribution.) Use the 0.10 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 and the alternative hypothesis H₁. Ho :O H₁ :0 (b) Determine the type of test statistic to use. (Choose one) (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.) 0 (e) Based on the data, can the university conclude (using the 0.10 level) that there is a significant linear relationship between grade point average and annual income for its recent graduates? O Yes O No B |x X Р 8 0-0 050 O>0 020000<0 X F 5
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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Transcribed Image Text:Coastal State University is conducting a study regarding the possible relationship between the cumulative grade point
average and the annual income of its recent graduates. A random sample of 142 Coastal State graduates from the last
five years was selected, and it was found that the sample correlation coefficient between cumulative grade point average
and annual income was 0.10.
Test for a significant linear relationship between grade point average and annual income for the recent graduates of
Coastal State by doing a hypothesis test regarding the population correlation coefficient p. (Assume that the two variables
have a bivariate normal distribution.) Use the 0.10 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 H₁.
Ho :O
H₁ :0
(b) Determine the type of test statistic to use.
(Choose one)
(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 university conclude (using the 0.10 level) that
there is a significant linear relationship between grade point average and
annual income for its recent graduates?
O Yes O No
В
В
X
00
020
O<O
X
a
ロ=ロ
H
OSO
ロ<ロ
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