Question

Use this information provided to answer the questions

Population. 1. 2.

Sample Size. 17     13

Sample Mean. 34.7   32.1

Sample Variance. 4.6   5.2

Calculate the pooled estimate of

σ², the associated degrees of freedom, and the observed value of the t statistic. (Round s² and your tstatistic to three decimal places.)

Answer 1

Solution:

Let be the pooled variance and is given by

=  

=  

= 4.857

Now ,

d.f. = n₁ + n₂ - 2 = 17 + 13 - 2 = 28

Degrees of freedom = 28

The test statistic t is given by

t =   

=  

=  

= 3.202

Test statistic t = 3.202