Question

The mean weight of male aerobics instructors in a certain city is more than 182 lbs. Express the null and alternative hypotheses in symbolic form for this claim.H0:μH1:μUse the following codes to enter the following symbols: ≥≥ enter >= ≤≤ enter <= ≠≠ enter !=

Answer 1

`H_(0): \mu \leq 182\text{ lbs}\\H_A: \mu > 182\text{ lbs}`

Explanation:

We are given the claim.

Claim: The mean weight of male aerobics instructors in a certain city is more than 182 lbs.

Population mean = 182 lbs

The null hypothesis will state that the sample mean is less than or equal to the population mean 182 lbs.

The alternate hypothesis will state that mean weight of male aerobics instructors in a certain city is more than 182 lbs.

We design the null and the alternate hypothesis

`H_(0): \mu \leq 182\text{ lbs}\\H_A: \mu > 182\text{ lbs}`