Question

In: Statistics and Probability

Bill works for an insurance company and he wants to estimate theaverage time that a...

Bill works for an insurance company and he wants to estimate the average time that a patient seeks emergency services. a random sample of 33 patients had an average weight time of 222 minutes with a sample standard deviation of 676 minutes. determine the confidence interval to estimate the average wait time using both 90% and 99% level of confidence.


a) what is the standard error of the sampling distribution?


b) what is the 90% confidence interval?


c) what is a 99% confidence interval?


Solutions

Expert Solution

Mean = 222

Sample size (n) = 33

Standard deviation (s) = 676

a)

b)

Confidence interval(in %) = 90

z @ 90.0% = 1.645

Since we know that

Required confidence interval = (222.0-193.5778, 222.0+193.5778)

Required confidence interval = (28.4222, 415.5778)

c)

Confidence interval(in %) = 99

z @ 99.0% = 2.576

Since we know that

Required confidence interval = (222.0-303.1347, 222.0+303.1347)

Required confidence interval = (-81.1347, 525.1347)


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