Question

In: Statistics and Probability

The average ticket price for a Spring Training baseball game is $29.80, with a standard deviation...

The average ticket price for a Spring Training baseball game is $29.80, with a standard deviation of $7.35. 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)

Solutions

Expert Solution

Solution :

Given that,

mean = = 29.80

standard deviation = = 7.35

n=40

= =29.80

= / n = 7.35/ 40 = 1.16

P( >32 ) = 1 - P( <32 )

= 1 - P[( - ) / < (32-29.80) /1.16 ]

= 1 - P(z < 1.90)

Using z table

= 1 - 0.9713

= 0.0287

probability= 0.0287


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