A manufacturer knows that their items have a normally
distributed length, with a mean of 11.5 inches, and standard
deviation of 1.7 inches.
If 6 items are chosen at random, what is the probability that their
mean length is less than 13.2 inches?
Round your answer to four places after the decimal.
Answer
It is given that
(population mean)
(population standard deviation)
sample size n = 6
(sample mean)
we have to find the probability that mean length is less than 13.2 inches
setting the given values, we get
{using z table, check for 2.4 in left most column and 0.05 in the top most row, select intersecting cell}
So, required probability that the mean length is less than 13.2 inches is 0.9929 (rounded to 4 decimals)
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