A manufacturer knows that their items have a lengths that are approximately normally distributed, with a mean of 11.2 inches, and standard deviation of 2.1 inches. If 45 items are chosen at random, what is the probability that their mean length is greater than 11.7 inches? (Round answer to four decimal places) Show your work. Show me what you entered into the calculator to get your answer.

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A manufacturer knows that their items have lengths that are approximately normally distributed, with a mean of 11.2 inches, and standard deviation of 2.1 inches.

If 45 items are chosen at random, what is the probability that their mean length is greater than 11.7 inches?

(Round answer to four decimal places)

[Text box for answer]

Show your work. Show me what you entered into the calculator to get your answer.
Transcribed Image Text:A manufacturer knows that their items have lengths that are approximately normally distributed, with a mean of 11.2 inches, and standard deviation of 2.1 inches. If 45 items are chosen at random, what is the probability that their mean length is greater than 11.7 inches? (Round answer to four decimal places) [Text box for answer] Show your work. Show me what you entered into the calculator to get your answer.
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