Question

An independent-samples t test is performed on the samples below:

Sample 1: M = 24.1, s² = 32.02, n = 10

Sample 2: M = 19.4, s² = 44.46, n = 10

a.)Calculate the standard error for the t test (s_M1-M2).  (Round to 4 decimal places.)

b.)Calculate the degrees of freedom for the t test.

c.)Find the critical value of t with two tails and alpha = 0.05.  (Keep 3 decimal places.)

d.)Calculate the t test. (Round answer to two decimal places.)

Answer 1

Given value :

= 24.1

= 19.4

= 32.02

= 44.46

n1 = 10

n2 = 10

df1 = n1-1 = 9

df2 = n2 - 1 = 9

df = n1+ n2 = 18

Hypothesis:

H0 :

H1 :

CI = 95 %

alpha = 0.05

SE = standard error = ( /sqrt(n1) + /sqrt(n2)) = 24.1851

t- table	t(0.05,18)	2.101
t - cal	( - ) / SE	0.194

T- Table > T- cal

Accept the null hypothesis, it's mean's that the H0 :