A sample size 25 is picked up at random from a population which is normally distributed with a mean of 100 and variance of 36. Calculate:-
(a) Pr{ ͞X≤99}
(b) Pr{98≤ ͞X≤100}
Using the formula;
a)
= 100+ 0.99(362/ 5) = 356.61
b) 100+ 0.98, 1.0 (36/5) = 364.3, 359.2
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