Question

You wish to test the following claim (H1H1) at a significance level of α=0.005α=0.005.

      Ho:μ=80.2Ho:μ=80.2
      H1:μ≠80.2H1:μ≠80.2

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=375n=375 with a mean of ¯x=79.8x¯=79.8 and a standard deviation of s=7.8s=7.8.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

Answer 1

Solution :

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :   =80.2

Ha : 80.2

Test statistic = t

= ( - ) / s / n

= (79.8-80.2) / 7.8 / 375

Test statistic = -0.993