5.56. The skull breadths of a certain population of rodents follow anormal distr
ID: 2914513 • Letter: 5
Question
5.56.
The skull breadths of a certain population of rodents follow anormal distribution with a standard deviation of 10mm. Let Y be the mean skull breadth of a random sample of 64individuals from this population, and let be the populationmean skull breadth.
(a) Suppose = 50 mm. Find Pr {Y is within ± 2mm of }
(b) Suppose = 100 mm. Find Pr {Y is within± 2mm of }
(c) Suppose is unknown. Can you find Pr {Yis within ± 2mm of }? If so, do it. If not explain, whynot.
Explanation / Answer
b) Y ~ N( , 10) => Z = ( Y - ) /10 ~ N( 0 , 1) , =100 Then, P [ - 2Related Questions
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