Does the data provide significant evidence, at the  4.6% level, that the population mean time for patients diagnosed with schizophrenia exceeds the population mean time for normal individuals by more than 20 points?

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A study of the

differences in cognitive function between normal individuals

and patients diagnosed with schizophrenia was published

in the American Journal of Psychiatry (Apr. 2010).

The total time (in minutes) a subject spent on the Trail

Making Test (a standard psychological test) was used as

a measure of cognitive function. The researchers theorize

that the mean time on the Trail Making Test for schizophrenics

will be larger than the corresponding mean

for normal subjects. The data for independent random

samples of 41 schizophrenics and 49 normal individuals

yielded the following results:

***PHOTO

 

Does the data provide significant evidence,

at the  4.6% level, that the population mean time for patients diagnosed with schizophrenia

exceeds the population mean time for normal individuals by more than 20 points?

Schizophrenia
Normal
Sample size
Mean time
41
104.23
45.45
49
62.24
16.34
Standard deviation
Transcribed Image Text:Schizophrenia Normal Sample size Mean time 41 104.23 45.45 49 62.24 16.34 Standard deviation
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