1.A manufacturer knows that their items have a lengths that are skewed right, with a mean of 18.7 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 18.3 inches?

(Round answer to four decimal places)

2.The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is $1200 and the standard deviation is $80.

What is the approximate percentage of buyers who paid more than $1360?

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What is the approximate percentage of buyers who paid less than $960?

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What is the approximate percentage of buyers who paid between $1120 and $1280?

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What is the approximate percentage of buyers who paid between $1200 and $1440?

%

What is the approximate percentage of buyers who paid between $1040 and $1200?

%

What is the approximate percentage of buyers who paid between $1120 and $1200?

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