Question

Find the value of t for the difference between two means based on an assumption of normality and this information about two samples. (Use sample 1 - sample 2. Give your answer correct to two decimal places.)

Sample	Number	Mean	Std. Dev.
1	26	37.8	13.5
2	27	43.2	11.2

Answer 1

Test Statistics

We have assumed that the population variances are equal, the t-statistic is computed as follows:

X1 - X2 (n-1)si +(12-1)sz ( 1 ni+n2-2 + 1). m+ny-2 103 (m + m) 37.8 – 43.2 = -1.587 (26-1)13.52 +(27–1)11.22 26+27=2 “Y44 ( 26 + 27)

To two decimal places is

= -1.59

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