Question

(For each of the problems you must state: the hypotheses and identify the claim, state the test value, p-value, make a decision and summarize the results.)

1. We would like to see if there is a relationship between heart rates and the number of hours a student studied (0.05 level of significance). Below is a set of data that was accumulated.

Hours studied, x	11	10	15	10	6	12	9	10
Blood pressure, y	129	130	130	134	129	131	127	128

Answer 1

we need to test that if there is a relationship between heart rates and the number of hours a student studied.

so we will test that if there is population correlation coefficient between two variable is ZERO or not so our hypothesis is

from the given data we can find the sample correlation coefficients by

=0.2302

now test statistics is given by

here n=8

df=n-2=8-2=6

since test is two tailed so P Value is given by

P-Value =2P(t>0.5794) =2*0.2917 =0.5834

Since P value is more than level of significance (0.05) hence we failed to reject the H0

that is thre is not sufficient evidence to support the claim that the correlation cofficient between two variables is not zero.

so there is not sufficient evidence to support the claim that there is relationship between two variables.