OPRE202 QUIZ

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1- the amount of time a bank teller spends with each customer has a population mean of 3.10
minutes and a standard deviation of0.40 minute. Complete part (a) through (d)
a) if you select a random sample of 25 customers, what is the probability that the mean time
spent per customer is a least 2.9 minutes
b) if you select a random sample of 25 customers, there is an 84% chance that the sample mean
is less than how many minutes?
c) what assumption must you make in order to solve a) and b)
d) if you select a random sample of 100 customers, there is an 84% chance that the sample mean
is less than how many minutes?
2- the following data represent the per capita spending in thousands of dollars, of several states
in 2004
3.69 7.61 10.22 11.78 12.43 12.82 13.48 14.16 15.03 14.63
14.57
a) decide whether the data appear to be approximately normal by comparing data characteristics
to theoretical properties
b) decide whether the data appear to be approximately normal by constructing a normal
probability plot