Question

Suppose we are doing a two-tailed hypothesis test about the mean of a population using the hypotheses Ho: μμ = 10 and Ha: μμ ≠≠10$. If a sample of size 85 has a sample mean of 8.5 and a sample standard deviation of 6, what is the value of the test statistic, t?

Question 4 options:

	t = - 3.866
	t = -2.304
	t = 1.500
	None of these.
	t = 3.866

Answer 1

Solution :

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :   = 10

Ha : 10

Test statistic = t

= ( - ) / s / n

= (8.5 - 10) / 6 / 85 = -2.304

The value of the test statistic, t = -2.304