A study of the differences in cognitive function between normal individuals and
ID: 3311126 • Letter: A
Question
A study of the differences in cognitive function between normal individuals and patients diagnosed with schizophrenia was conducted. The total time (in minutes) a subject spent on the Trial Making Test (a standard psychological test) was used as a measure of cognitive function. The researchers theorize that the mean time on the Trial Making Test is different from the corresponding mean for normal subjects. The data for independent random samples of 41 schizophrenics and 49 normal individuals yield the following summary results:
b. Interpret your confidence interval in (b). What will you conclude regarding the research hypothesis raised by the researchers?
Schizophrenia Normal 41 49 104.23 2.34 Standard Deviation 45.45 16.34 Mean TimeExplanation / Answer
(a) 99% CI = (sample mean 1-sample mean 2)+-2.58((s12/n1) +(s22/n2))0.5
=(104.23-62.34)+-2.58((45.452/41)+(16.342/49))0.5
=(22.58,61.17)
(b) as the interval does not contain 0 we can conclude that thier is significant difference between sciznophrenia and normal individual
(c) z test statistic = 5.61
Hence reject the null hypothesis and can conclude that their is difference between the two poulation means
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