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The average ticket price for a Spring Training baseball game is $29.79, with a standard deviation...

The average ticket price for a Spring Training baseball game is $29.79, with a standard deviation of $7.29. In a random sample of 40 Spring Training tickets, find the probability that the mean ticket price exceeds $32. (Round your answer to three decimal places)

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Answer #1

Let denote mean ticket price, then we have to find P(>32)

Now, P(>32)

=

Given,

Therefore,

= , where   , by central limit theorem

=

=

=1 - 0.9725711

=0.027

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