The Graded Naming Test (GNT) is used when diagnosing cognitive deficits of the sort that can occur after a stroke or closed-head injury. The GNT was developed by British researchers and tens of thousands of people in Britain have taken it; the mean score is 20.4 and the standard deviation is 17.5. Canadian researchers suspect that Canadians (who don’t speak British English) will score lower than the Brits. A sample of 30 Canadians who took the GNT scored 18.73, on average. Identify/calculate the mean and standard deviation of the means of the samples. Draw and Label the distribution. Identify the critical value(s) for this test, label it (them) on the distribution, shade the rejection region(s).  Calculate the test statistic, mark and label it on the comparison distribution. State the hypothesis-testing conclusion, in words in terms of this test.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The Graded Naming Test (GNT) is used when diagnosing cognitive deficits of the sort that can occur after a
stroke or closed-head injury. The GNT was developed by British researchers and tens of thousands of people in
Britain have taken it; the mean score is 20.4 and the standard deviation is 17.5. Canadian researchers suspect that
Canadians (who don’t speak British English) will score lower than the Brits. A sample of 30 Canadians who took the
GNT scored 18.73, on average.

Identify/calculate the mean and standard deviation of the
means of the samples. Draw and Label the distribution.

Identify the critical value(s) for this test, label it (them) on the distribution, shade the rejection region(s).
 Calculate the test statistic, mark and label it on the comparison distribution.
State the hypothesis-testing conclusion, in words in terms of this test. 

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