Question

You wish to test the following claim (H1) at a significance
level of α=0.02.

Ho:μ=76.5

H1:μ≠76.5

You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=209 with
a mean of ¯x=79.4 and a standard deviation of s=11.5.

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

test statistic =

Answer #1

Solution :

The null and alternative hypothesis is ,

=76.5

=79.4

s =11.5

n =209

This will be a two tailed test because the alternative hypothesis is showing a specific direction

This is the two tailed test .

The null and alternative hypothesis is ,

H0 : =76.5

Ha : 76.5

Test statistic = t

= ( - ) / s / n

= (79.4-76.5) /11.5 / 209

= 3.646

Test Statistic = 3.646

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