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

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

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.

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

An agriculture company is testing a new product that is designed to make plants grow taller. This can be thought of as a hypothesis test with the following hypotheses.H0: The product does not change the height of the plant.Ha: The product makes the plant grow taller.Is the following an example of a type I or type II error?The sample suggests that the product does not change the height of the plant, but it actually does make the plant grow taller.Group of answer choicesType IIType I

A manufacturer of rechargeable laptop batteries markets its batteries as having, on average, 500 charges. A consumer group decides to test this claim by assessing the number of times 30 of their laptop batteries can be recharged and finds the average is 497, with a standard deviation of 10.The resulting p-value is .1111; thus, the null hypothesis is not rejected. The consumer group concludes that the manufacturer’s claim that its laptop batteries can be recharged, on average, 500 times is accurate.What type of error is possible in this situation?type Itype IIneitherboth