In the past, the mean running time for a certain type of flashlight battery has been 8 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. The hypotheses are:H0 : μ < 8 hoursH1 : μ > 8 hoursSuppose that the results of the sampling lead to rejecting of the null hypothesis but, in reality, the mean running time has not increased, how would you classify the conclusion that the researchers made?Question 7Answera.Correct decisionb.Not enough information providedc.Type II errord.Type I error

In the past, the mean running time for a certain type of flashlight battery has been 8.0 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. The hypotheses are:H0 : μ < 8.0 hoursH1 : μ > 8.0 hoursExplain the meaning of a Type II error.Question 2Answera.Concluding that μ > 8.0 hoursb.Failing to reject the hypothesis that μ = 8.0 hours when in fact μ = 8.0 hoursc.Concluding that μ > 8.0 hours when in fact μ > 8.0 hoursd.Failing to reject the hypothesis that μ < 8.0 hours when in fact μ > 8.0 hours

A random sample of 15 batteries resulted in an average life of 280 hours with a standard deviation of 24 hours. Assume the battery life to be normally distributed and α = 0.05. Test the following hypothesis:H0: µ = 300 hoursH1: µ ≠ 300 hoursa.reject H0.b.There is no reason to believe that the battery life has changed.c.Accept the null hypothesis.d.Fail to reject the H0.

Hypothesis Testing

At one school, the average amount of time that tenth-graders spend watching television each week is 18.4 hours. The principal introduces a campaign to encourage the students to watch less television. One year later, the principal wants to perform a hypothesis test to determine whether the average amount of time spent watching television per week has decreased. Formulate the null and alternative hypotheses for the study described.Question 17Answera.H0: µ = 18.4 ; H1 µ ≠18.4b.H0: µ < 18.4 ; H1 µ > 18.4c.H0: µ = 18.4 ; H1 µ <18.4d.H0: µ > 18.4 ; H1 µ <18.4

The manager of a mall conducted a survey among two groups (n1 = 100, n2 = 100) of visitors to the mall on different days. She found that the first group spent an average of 60 minutes in the mall, while the second group spent an average of 90 minutes in the mall.If the manager wishes to see the difference in the average times spent by the two groups in the mall, which of the following sets shows the null hypothesis and alternative hypothesis?Null Hypothesis: There is at least some difference in the average times spent by the two groups in the mall.Alternative Hypothesis: The difference in the average times spent by the two groups in the mall is 30 minutes.Null Hypothesis: There is no difference in the average times spent by the two groups in the mall.Alternative Hypothesis: There is at least some difference in the average times spent by the two groups in the mall.Null Hypothesis: There is at least some difference in the average times spent by the two groups in the mall.Alternative Hypothesis: There is no difference in the average times spent by the two groups in the mall.Null Hypothesis: There is no difference in the average times spent by the two groups in the mall.Alternative Hypothesis: There is a difference in the average times spent by the two groups in the mall, with a standard deviation of 30 minutes.