Question

You wish to test the claim that μ ≠ 22 at a level of significance of α = 0.05 and are given sample statistics n = 35, x = 21.1, and s = 2.7. Compute the value of the standardized test statistic. Round your answer to two decimal places. a)Ho:___Ha:___

Answer 1

Solution :

$\mu$= 22

$\bar x$ = 21.1

s = 2.7

n = 35

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 :  $\mu$ = 22

H_a : $\mu$   $\neq$ 22

Test statistic = t =

= ($\bar x$ - $\mu$ ) / s / $\sqrt$ n

= (21.1- 22) / 2.7 / $\sqrt$ 35

Test statistic = t = -1.97