Question

A random sample of size 20 from a normal population has a mean of x-bar = 62.8 and s = 3.55. If you were to test the following hypothesis at the .05 level of significance the rejection region would best be defines as

H₀: µ = 60

H₀: µ ╪ 60

t > 2.093 or t < -2.093

t > 1.729 or t < -1.729

t > 1.725 or t < -1.725

t > 2.086 or t < -2.086

Answer 1

Solution :

The null and alternative hypothesis is ,

H0 :   = 60

Ha :    60

= 62.8

s = 3.55

n = 20

degrees of freedom = n - 1 = 20 - 1 = 19

This is the two tailed test

= 0.05

/2 = 0.025

t/2,df = t0.025,19 = 2.093

correct option is = t > 2.093 or t < -2.093