The drying of pavement marking paint is important to planners trying to schedule

Question

The drying of pavement marking paint is important to planners trying to schedule pavement painting activities. You plan to measure the time (in seconds) for paint from a particular supplier to dry. From past work, you can assume that the time to dry is normally distributed with a standard deviation of 15 seconds. How many paint samples would you need to test to be able to obtain an estimate of paint drying time that is within 4 seconds of the actual mean drying time with a probability of 98%?

7

27

31

51

71

77

78

79

97

98

Explanation / Answer

n >= (z*s/e)^2

here

z = 2.327, s = 15 , e = 4

hence n >= (2.327*15/4)^2 =76.1474

hence n = 77

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