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A quality control engineer is testing the battery life of a new smartphone. The company is advertising that the

battery lasts 24 hours on a full-charge, but the engineer suspects that the battery life is actually less than that.

They take a random sample of 50 of these phones to see if their average battery life is significantly less than 24

hours.

Let u represent the mean battery life for this population of phones.


Sagot :

fichoh

The question requires stating the Null and Alternative hypothesis for the scenario described :

Answer:

H0 : μ = 24

H1 : μ < 24

Step-by-step explanation:

The claim or hypothesis to be tested in a statistical problem or analysis is the alternative hypothesis. This is usually the opposite of the Null hypothesis which is the usually the initial truth until there is significant evidence provided using statistical test to prove otherwise.

The null hypothesis, H0 in the scenario above is :

H0 : μ = 24 ( average battery life is 24 hours)

The alternative hypothesis is the claim, that is. The mean battery life not up to 24 hours ;

H1 : μ < 24

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