91Ó°ÊÓ

The claim is that means is less than$10.5$

The null hypothesis states that the population value is equal to the claim value: $H_0:\mathrm{μ}=10.5$

The null hypothesis or the alternative hypothesis is the claim. The null hypothesis asserts that the population means equals the value specified in the claim. If the claim is the null hypothesis, then the alternative hypothesis statement is the inverse of the null hypothesis.

$H_1:\mathrm{μ}<10.5$

localid="1654460033100" $\mathrm{μ}$is the mean battery lifetime.

Given:

Random, independent (condition), and Normal/ Large sample are the three conditions.

Random: Satisfied because the tablets were chosen at random.

Independent: Satisfied, because the sample of 20 tablets represents less than $10\%$of the total tablet population.

Normal/large sample size: Dissatisfied because the sample size of 20 tablets is small and the distribution in the dot plot is skewed.

Because the Normal/Large sample condition is not met, a hypothesis test for the population mean is not appropriate.