For each of the following you should decide a) What test would you use? b) Why would...

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Statistics

For each of the following you should decide
a) What test would you use?
b) Why would you use this test?
You wonder if changing the format on a statistics test willchange the average mark on the test. You randomly select half theclass and give them the standard test. The other half receives thetest with the new format. You then compare the marks for each half.In analyzing the data you notice that the group that got thestandard test has a normal distribution but the new format hascreated a bimodal distribution in that half of the class.
You wonder which gas station has better service Petro Canada orShell. Over a 10 day period you ask 30 people to visit the PetroCanada and the Shell station. Each person purchases exactly $10worth of gas at one station then drives across the road and gets$10 at the other station. You then record the time it takes foreach person to be served.
You want to see if Rec and Leisure students get summer jobsfaster than other university students. You find out from thestudent placement service that the average university student getsa summer job in 4 weeks with a variance of 3 weeks. The average Recand Leisure student gets a job in 3.6 weeks with a variance of 4.2weeks.

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3.9 Ratings (387 Votes)

1 a Here we can use the ttest for the difference of means b The reason we use this test here is that the two group averages ie the one with standard test and the other with new format need to be compared with respect to their average marks in order to determine whether the change in format will also change their scores So we use the null hypothesis that the average See Answer

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