tahen to use te Population and when lot to ? Example: The amount of time a bank
ID: 3158042 • Letter: T
Question
tahen to use te Population and when lot to ? Example: The amount of time a bank teller spends with each customer has a population mean of 3.10 minutes with a population standard deviation of.40 minutes. If a random sample of 30 customers is selected without replacement from a finite population of 800 customers Using the finite population correction factor, what is the probability that the sample mean time spent per customer will be over 3 minutes? a) 2oo- 011692 b) Without using the finite population correction factor,what is the probability that the an time spent per customer will be over 3 minutes? 6T0303 V30 2 3-2-1 01303 = P (z >-1.37) I47 c) Why are these so close? As 200 6.620 ate Corneckion tactor s0o- 30 tor 90201 Noo-Explanation / Answer
Finit population Correction is used when n / N > 0.05
If n/N <= 0.05, we need not use the Finite population correctin.
If N is very large then F.P.C tends to 1
We doesn't add the 0.5 or subtrct the 0.05 from the over 3 minutes. It is used only for "Correct for Contigenity" of Binomial distributon to Normal distribution.
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