Question

A consumer analyst reports that the mean life of a certain type of alkaline battery is no more than 63 months. Write the null and alternative hypotheses and note which is the claim.

Answer 1

The null hypothesis states that the mean life of the alkaline battery is 63 months or more. The alternative hypothesis states that the mean life of the alkaline battery is less than 63 months.

Step-by-step explanation:

The null hypothesis, denoted as H0, is the statement that the mean life of the alkaline battery is 63 months or more. The alternative hypothesis, denoted as Ha, is the statement that the mean life of the alkaline battery is less than 63 months. The claim in this case is the alternative hypothesis Ha.

Answer 2

The given statement,

the mean life of a certain type of alkaline battery is no more than 63 months.

Every hypothesis test carries two opposing statements, or hypothesis, about a population parameter. The first hypothesis is called the null hypothesis.

Null hypothesis always states that the population parameter is equal to the claimed value.

If the null hypothesis is rejected, then the alternative hypothesis is going to be claimed.

`\text{Null hypothesis}=H_0:\mu =63`

`\text{Alternative hypothesis}=H_1:\mu >63`

In this case, the alternative hypothesis is the claim.