In: Statistics and Probability
Match the scenario with the appropriate hypothesis test. Each word test may only be used once. Zach has just started running for the first time. He would like to track his mileage with a fitness app on his phone. He finds two apps; one that is free and one that costs money. He doesn’t want to pay money if the apps are equally as good at tracking his mileage. He decides to test the two apps. He chooses 10 routes of varying lengths to which he runs with both tracking apps on during the run. After each run he records the difference in tracked mileage between the apps. What procedure is appropriate to test whether there is an average difference in mileage between the two apps?
a. One Sample z test for a mean b. One sample t test c. One proportion z test d.Matched Pairs t test
The university would like to estimate the proportion of students who used any tobacco product at least once in the last year. They would like to test whether the proportion is more than 50%. From a random sample of 500 students, 276 students said they had used a tobacco product in the last year . What type of procedure is most appropriate for their question of interest?
a. One Sample z test for a mean b. One sample t test c. One proportion z test d.Matched Pairs t test
A construction engineer would like to test whether a large batch of pressure-treated lumber boards are acceptable for use by a given manufacturer. The boards are advertised as 4”x4”x16’ and should weigh 77 lbs. The standard deviation of the boards from the population is 0.16lbs. For the boards to be acceptable there should be no evidence that the boards weigh other than 77 lbs on average. The engineer takes a random sample of 30 boards and finds the average of the sample to be 76.8lbs. What type of test is appropriate for this scenario?
a. One Sample z test for a mean b. One sample t test c. One proportion z test d.Matched Pairs t test