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Researchers often use z-tests to compare their samples to known population norms. The Graded Naming Test...

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Statistics

Researchers often use z-tests to compare their samples to knownpopulation norms. The Graded Naming Test (GNT) asks respondents toname objects in a set of 30 black-and-white drawings. The testoften used to detect brain damage, starts with easy words likekangaroo and gets progressively more difficult, ending with wordslike sextant. The GNT population norm for adults in England is20.4. Roberts (2003) wondered whether a sample of Canadian adultshad different scores than adults in England. If they weredifferent, the English norms would not be valid for use in Canada.The mean for 30 Canadian adults was 17.5. For the purposes of thisexercise, assume that the standard deviation of the adults inEngland is 3.2.

When we conduct a one-tailed test instead of atwo-tailed test, there are small changes in steps 2 and 4 ofhypothesis testing. (Note: For this example, assume that those frompopulations other than the one on which it was normed will scorelower, on average. That is, hypothesize that the Canadians willhave a lower mean.) Conduct steps 2, 4, and 6 of hypothesis testingfor a one-tailed test.

please help me by actually writing step by step what you aredoing so I can understand clearer. do not ONLY use equations toreply please

Answer & Explanation Solved by verified expert
4.2 Ratings (749 Votes)
ConsiderX GNT score for Canadiansn number of Canadians selected 30Xbar Sample mean GNT score for Canadians 175From the informationmu Population norm for adults in England 204sigma Standard deviation of adults in England 32We have to test the hypothesis    See Answer
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