A manufacturer knows that their items have a normally distributed length, with a mean of 11.3 inches, and standard deviation of 0.5 inches. If 5 items are chosen at random, what is the probability that their mean length is less than 11.3 inches?
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- A manufacturer knows that their items have a normally distributed length, with a mean of 16.8 inches, and standard deviation of 1.7 inches.If 21 items are chosen at random, what is the probability that their mean length is less than 17.1 inches?manufacturer knows that their items have a normally distributed length, with a mean of 12.3 inches, and standard deviation of 3.6 inches.If 11 items are chosen at random, what is the probability that their mean length is less than 11 inches?Suppose that heights of women at UT Tyler are normally distributed with a mean of 64 inches and a standard deviation of 2.4 inches. Find the probability that a collection of 16 women have an average height less than 62 inches tall.
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