Question

H0:U=10

Ha:U>10

From a sample of n=21 observations has the value t=1.89

1.) what are the degrees of freedom for this statistic? How do I calculate this?

2.) what are the two critical values t*?

______________<t,_________________ How is this calculated as well.

Thank you.

Answer 1

Hypothesis:

Right tailed test

This is One sample t test

Given that

sample sze = n = 21

Test statistics = t = 1.89

1 ) we want to calculate degrees of freedom

Degrees of freedom = n - 1 = 21 - 1 = 20 ............( ANSWER)

====================================================

2 ) we want to calculate two critical value for t

Note that DF = n - 1 = 21 - 1 = 20

Assume that

In t table find the value of DF = 20 in the vertical column and find the value of

Find the Critical value in the inner part of the table

We get Critical value = tc = 2.086 ...( From t table)

Note that the t distribution has symmetric curve

so, we get Critical value as

...........( Answer)