Question

Based on a random sample of 45 people, the mean error in the wristwatch time is found to be 110 sec with a standard deviation of 164 sec. Using a 0.01 significance level, what is the conclusion regarding the claim that the population of all watches has a mean of 0 sec?

a) Reject the null hypothesis; there is enough evidence to support the claim that the mean error is not 0 sec.

b) Fail to reject the null hypothesis; there is not enough evidence to support the claim that the mean error is not 0 sec.

c) Reject the null hypothesis; there is enough evidence to support the claim that the mean error is 0 sec.

d) Fail to reject the null hypothesis; there is enough evidence to support the claim that the mean error is 0 sec.

Answer 1

To determine the conclusion regarding the claim that the population of all watches has a mean error of 0 seconds, we need to conduct a hypothesis test. The correct conclusion is: Fail to reject the null hypothesis; there is not enough evidence to support the claim that the mean error is not 0 sec.

Step-by-step explanation:

To determine the conclusion regarding the claim that the population of all watches has a mean error of 0 seconds, we need to conduct a hypothesis test.

The null hypothesis (H0) is that the mean error is 0 seconds. The alternative hypothesis (Ha) is that the mean error is not 0 seconds.

Based on the given information, we can calculate the test statistic and find the p-value.

Since the p-value is greater than the significance level of 0.01, we fail to reject the null hypothesis. Therefore, the correct conclusion is: Fail to reject the null hypothesis; there is not enough evidence to support the claim that the mean error is not 0 sec.