Question

Asked Nov 7, 2019

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Step 1

a)

From the given information, the claim of the problem is testing whether the mean battery life is significantly less than 20 hours or not. That is, the testing is for population and which is obtained from sample mean. Hence, the given question is about ** sample mean**.

b)

From the given claim, the hypothesis of the test is ‘less than’ case. Hence, the appropriate test is ** left-tailed test**.

c)

**Null Hypothesis:**

*H*_{0}: µ≥20.

That is, there is no sufficient evidence that the true mean battery life is significantly less than 20 hours.

**Alternative Hypothesis:**

** **

*H*_{a}: µ<20.

** **

That is, there is a sufficient evidence that the true mean battery life is significantly less than 20 hours.

Step 2

d)

The value of test statistic is ** -2** and it is obtained below:

From the given information, the sample mean is 19 and the standard deviation is 5. The sample size is 100.

Step 3

e)

The *P*-value is **0.0241** and it is calculated below:

The number of sample observations is *n*=100 and consider the level of significance as 0.05.

The degree of freedom is, *n *– 1 = ...

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