Answered: The number of hours 10 students spent…

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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The number of hours 10 students spent studying for a test and their scores on that test are shown in the table. Is there enough evidence to conclude that there is a significant linear correlation between the data? Use

α=0.01.

Hours, x	0	1	2	4	4	5	5	6	7	8
Test score, y	40	42	54	52	65	67	76	78	83	91

Click here to view a table of critical values for Student's t-distribution.

Setup the hypothesis for the test.

H0:ρ ____0

Ha:ρ____0

Identify the critical value(s). Select the correct choice below and fill in any answer boxes within your choice.

(Round to three decimal places as needed.)

The critical value is _____.

B.The critical values are−t0=______ andt0=______.

Your answer is correct.

Calculate the test statistic.

t=_____

(Round to three decimal places as needed.)

What is your conclusion?

There is enough evidence at the 1% level of significance to conclude that there is a significant linear correlation between hours spent studying and test score.

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