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 $(=,\ne ,\ge ,<,\le ,>)$for the null and alternative hypotheses.

a.${\mathrm{H}}_0:{\mathrm{\mu }}_{-}66$

b.${\mathrm{H}}_{\mathrm{a}}:{\mathrm{\mu }}_{-}66$

Short answer

a. Null hypotheses is equal to$66$.

b. Alternative hypotheses is not equal to$66$.

Step-by-step solution

Introduction

The null hypothesis states that there is no difference between a proportion and the proportion of the population.

Alternative hypothesis states that opposition of null hypotheses.

Explanation (part a)

a. The mean eighth-height grader's is$66$inches is known as null hypotheses.

It is denoted by${\mathrm{H}}_0$.

So,

${\mathrm{H}}_0:\mathrm{\mu }=66$

Explanation (part b)

The mean eighth-height grader's is not $66$inches is known as alternative hypotheses.

It is denoted by ${\mathrm{H}}_{\mathrm{a}}$.

So,

${\mathrm{H}}_{\mathrm{a}}:\mathrm{\mu }\ne 66$