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Many people feel that the drying of pavement marking paint is much too slow. You

ID: 3209615 • Letter: M

Question

Many people feel that the drying of pavement marking paint is much too slow. You spend several days looking for the fastest drying paint you can find; you plan to measure the time (in seconds) for this paint to dry. From information provided by the paint supplier, you believe the time to dry is normally distributed with a standard deviation of 3 seconds. How many paint samples would you need to test to be able to obtain an estimate of paint drying time that is within 2 seconds of the actual mean drying time with a probability of 99.5%?

Explanation / Answer

Answer to the question)

Given:

.

The formula of sample size n is as follows:

n = ( z * s / E)^2

.

On plugging the values we get:

n = (2.81 * 3 / 2 )^2

n = 17.766225 ~ 18

Thus the sample size n must be 18

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