Employees of a large corporation are concerned about the declining quality of medical services provided by their group health insurance. A random sample of 100 office visits by employees of this corporation to primary care physicians during 2004 found that the doctors spent an average of 19 minutes with each patient. This year a random sample of 108 such visits showed that
Employees of a large corporation are concerned about the declining quality of medical
services provided by their group health insurance. A random sample of 100 office visits
by employees of this corporation to primary care physicians during 2004 found that the
doctors spent an average of 19 minutes with each patient. This year a random sample of
108 such visits showed that doctors spent an average of 15.5 minutes with each patient.
Assume that the standard deviations for the two populations are 2.7 and 2.1 minutes,
respectively.
a. Construct a 95% confidence interval for the difference between the two population
means for these two years.
b. Using the 5% level of significance, can you conclude that the mean time spent by
doctors with each patient is lower for this year than for 2004?
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