Section 5.3: Finding X values using the Normal Curve I5 point] The number of egg

Question

Section 5.3: Finding X values using the Normal Curve I5 point] The number of eggs laid in a month by a peahen is normally distributed with a mean of 16 and eviation of 4. Collectors of peahens consider the egg productivity to be very indicative of the quality of the peahen. In fact, it is understood that a good peahen is in the top 10% of all peahens for egg laying. What is the number of eggs laid by a peahen that is the least productive peahen in the top 10% of I. all peahens? NOTE. This pea hen is often referred to as the 90th percentile peahen

Explanation / Answer

z-value for 90 percentile = 1.2816

using central limit theorem
x = mean + z*sigma
x = 16 + 1.2816*4
x = 21.1264

Number of eggs laid are 21 (rounded to whole number)

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