SOLUTION: a researcher conducted a survey on a university campus for a sample of 64 seniors and reported that, seniors on average read 32 books in the prior academic semester, with a standar

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Question 860367: a researcher conducted a survey on a university campus for a sample of 64 seniors and reported that, seniors on average read 32 books in the prior academic semester, with a standard deviation of 21 books. assume that distribution is normal.
a)calculate the probability that the sample mean is above 34 books
b)determine the probability that the sample mean is between 31 and 33 books
c)determine the probability that the sample mean will be below 29 books
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

m = 32, SD = 21, s = 21/sqrt(64) = 2.625

TI syntax is normalcdf(smaller, larger, µ, σ)

P(x > 34) = normalcdf(34, 100, 32, 2.625)    |100 a placeholder for VERY large

P(31 ≤ x ≤ 33)= normalcdf(31, 33, 32, 2.625)

P(x < 29) = normalcdf(-100, 29, 32, 2.625)