Question

A random sample of size 20 is taken, resulting in a sample mean of 17.40 and a sample standard deviation of 4.58. Assume x is normally distributed and use this information and α = .05 to test the following hypotheses. Upper H Subscript 0 Baseline colon mu equals 17⁢ Upper H Subscript a Baseline colon mu not-equals 17

What is the test statistic?

Answer 1

Solution :

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :   =17

Ha : 17

Test statistic = t

= ( - ) / s / n

= (17.40-17) / 4.58 / 20

Test statistic = 0.39