Question

The distributions with large n don't need to be normal, but these are.

In this problem you do not know the population standard deviation.

The mean for the first set ¯xx¯ ₁ = 31.967 with a standard deviation of s₁ = 4.6 There sample size was 12.

The mean for the first set ¯xx¯  2  = 30.323 with a standard deviation of s₂ = 4.464 There sample size was 25.

Find the degrees of freedom.   (round to 2 places)

Find the left side critical value for a two tail test, t-star for alpha = 0.1. Use the truncated version of the degrees of freedom.   (Remember the right tail is just the positive version.)

Find the test statistic t=   Round to 4 places.

Answer 1

Given :

Given Data

= 31.967, s₁ = 4.6, n1 = 12

. = 30.323, s₂ = 4.464, n2 = 25

Degree of freedom :

Therefore the test statistic is t = 1.0274