Solution :
P(x < 17) = P[(x - ) / < (17 - 11.4) / 2.9]
= P(z < 1.9310)
= 0.9733
proportion = 0.9733
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For a Normal distribution with mean, μ=2, and standard deviation, σ=4, 30% of all observations have a value less than Round to 4 decimal places.
A population of scores forms a normal distribution with a mean of μ = 71 and a standard deviation of σ = 11. (a) What proportion of the scores in the population have values less than X = 69? (Round your answer to four decimal places.) (b) If samples of size n = 8 are selected from the population, what proportion of the samples will have means less than M = 69? (Round your answer to four decimal places.) (c)...
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A population of values has a normal distribution with μ=205.6 and σ=32.6. A random sample of size n=122 is drawn. Find the probability that a single randomly selected value is less than 211.8. Round your answer to four decimal places. P(X<211.8)= Find the probability that a sample of size n=122 is randomly selected with a mean less than 211.8. Round your answer to four decimal places. P(M<211.8)=
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