a. Your boss asks you to conduct a hypothesis test about the mean dwell time of...

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a. Your boss asks you to conduct a hypothesis test about themean dwell time of a new type of UAV. Before you arrived, anexperiment was conducted on n = 5 UAVs (all of the new type)resulting in a sample mean dwell time of ybar = 10.4 hours. Thegoal is to conclusively demonstrate, if possible, that the datasupports the manufacturerer's claim that the mean dwell time isgreater than 10 hours. Given that is is reasonable to assume thedwell time are normally distributed, the sample standard deviationis s = .5 hours, and using a significance level of alpha = .01,conduct the appropriate hypothesis test.
b. For the hypothesis test constructed, what is the probabilityof a Type II error if the true mean is 10.4 hours? Interpret inyour own words.
c. What is the probability of a Type II error if the true meanwere actually 11 hours? What do your answers from b. and c. tellyou about the power of your hypothesis test?

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3.7 Ratings (691 Votes)

aNullHypothesisH0The mean dwell time is not significantly greater than 10 hours 10Hypothesised population mean 10AlternativeHypothesisH1The mean dwell time is significantly greater than 10 hours 10 righttailed testwhere Population meandwell timeTeststatisticSince the sample size n 5 30 small sample we shall See Answer

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