Question

A study was made of a sample of 25 records of patients seen at a chronic disease hospital on an outpatient basis. The mean number of outpatient visits per patient was 4.8, and the sample standard deviation was 2. Can it be concluded from these data that the population mean is greater than four visits per patient? Let the probability of committing a type I error be .05. What assumptions are necessary?

Answer 1

SOLUTION-

GIVEN, N=25

=4.8

S= 2

THE HYPOTHESIS TO BE TESTED IS,

;

WHERE DENOTES THE POPULATION MEAN OF THE NO OF VISITORS.

THE TEST STATISTIC IS,

VALUE OF THE TEST STATISTIC OBTAINED IS,

PROBABILITY OF TYPE-I ERROR = 0.05

NOW, CRITICAL VALUE =

NOW, AS CRITICAL VALUE< TEST STATISTIC, WE REJECT THE NULL HYPOTHESIS AND CONCLUDE THAT MEAN NO OF VISITORS IS GREATER THAN 4 .

ASSUMPTIONS- HERE WE ASSUME THAT THE DATA ARE RANDOM SAMPLE, SAMPLE SIZE IS COMPARATIVELY LARGE, SAMPLE IS COLLECTED FROM A NORMAL DISTRIBUTION.

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