Question
Asked Feb 13, 2019
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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 ote which is the claim

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Expert Answer

Step 1

What is null and alternative hypothesis:

Hypothesis:

Hypothesis is an assumption about the parameter of the population which will be made on the limited evidence as the start value to proceed for further investigation, and the assumption may or may not be true.

In testing the hypothesis is of two types. The two types are:

  • Null hypothesis (H0)
  • Alternative hypothesis (H1)

Null hypothesis:

Null hypothesis is a statement which is tested for statistical significance in the test. The decision criterion indicates whether the null hypothesis will be rejected or not in the favour of alternate hypothesis. In other words it can be said that, the null hypothesis is a statement which indicates the relationship between statistical measurements, distributions or categories. More often, null hypothesis states no significance relationship between variables or populations. But, null does not indicate “0” all the time.

Alternate hypothesis:

Alternate hypothesis is contradictory statement of the null hypothesis.

Step 2

State the null and alternative hypothesis for the given claim.

It is given that a consumer analyst reports that the mean life time of a certain type of alkaline battery is no more than 63 months.

Let µ be the population mean life time of a certain type of alkaline battery.

Claim:

The claim is whether the population mean life time of a certain type of alkaline battery is no more than 63 months or not.

The mean life time of a certain type of alkaline battery is no more than 63 months means the mean life time of a certain type of alkaline battery is less than or equal to 63 months (That is, not greater than 63 months).

In general, it is known that, null hypoth...

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Statistics

Hypothesis Testing

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