We adopt 05 and test the hypothesis Ho x50 What conclusion s

We adopt =.05 and test the hypothesis Ho: x=50. What conclusion should we draw if...

(a) n=10, tcalc = +2.10, and Ha: x 50?

(b) n=20, tcalc = +2.10, and Ha: x 50?

(c) n=10, tcalc = +2.10, and Ha:  x > 50?

Show the critical value of t for each part.

Solution

I.
to =2.1
| to | =2.1
Critical Value
The Value of |t | with n-1 = 9 d.f is 2.262
We got |to| =2.1 & | t | =2.262
Make Decision
Hence Value of |to | < | t | and Here we Do not Reject Ho

II.
to =2.1
| to | =2.1
Critical Value
The Value of |t | with n-1 = 19 d.f is 2.093
We got |to| =2.1 & | t | =2.093
Make Decision
Hence Value of | to | > | t | and Here we Reject Ho

III.
to = 2.1
| to | = 2.1
Critical Value
The Value of |t | with n-1 = 9 d.f is 1.833
We got |to| =2.1 & | t | =1.833
Make Decision
Hence Value of | to | > | t | and Here we Reject Ho