Question

we want to test whether the mean height of eighth - graders is 66 inches. state the null and alternative hypotheses. fill in the correct symbol (=, ≠, ≥, <, ≤, >) for the null and alternative hypotheses.
a. $h_0:mu$ _ 66
b. $h_a:mu$ _ 66

Explanation:

Step1: Define null hypothesis

The null hypothesis ($H_0$) is a statement of no - effect or no difference. When testing if the mean height is 66 inches, the null hypothesis assumes the mean is equal to the hypothesized value. So, $H_0:\mu = 66$.

Step2: Define alternative hypothesis

The alternative hypothesis ($H_a$) is what we might believe if the null hypothesis is rejected. Since we are just testing if the mean is 66 inches (a two - tailed test), the alternative hypothesis is that the mean is not equal to 66 inches. So, $H_a:\mu
eq66$.

Answer:

a. $H_0:\mu = 66$
b. $H_a:\mu
eq66$