Question

The average ticket price for a Spring Training baseball game is $32.50, with a standard deviation of $6.14. In a random sample of 40 Spring Training tickets, find the probability that the mean ticket price exceeds $35. (Round your answer to three decimal places)

Answer 1

Solution :

Given that ,

mean = = $32.50

standard deviation = = $6.14

n = 40

= 32.50

= / n =6.14 / 40 = 0.9708

P( > $35) = 1 - P( <35 )

= 1 - P[( - ) / < (35 -32.50) / 0.9708]

= 1 - P(z <2.58 )

Using z table

= 1 - 0.9951

= 0.0049

probability= 0.0049