suppose that the distance of fly balls hit to the outfield (in baseball) is norm

Question

suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 240 feet and a standard deviation of 52 feet. We randomly sample 49 fly balls. lf R -average distance in feet for 4g sy bals een give the distribution of X Round your standard deviaton to two decimal places What is the probability that the 40 balstraveled an average of less than 228 feet? sketch the graph. scale the horizontal ads for R shade the region comesponding to the probability 240 250 250 220 220 240 330

Explanation / Answer

Mean is 240 and SD is 52. Also n is 49

Thus standard error is 52/sqrt(49) =7.43

P(x<228)=p(Z<(228-240)/7.43)=p(Z<-1 62) or 1-p(Z<1.62)

Thus fr the normal distribution table we get 1-0.9474 or 0.0526. answer A is correct for the normal curve

For 70th percentile , Z is given from the normal distribution table as 0.53

Thus answer is 240+0.53*7.43 or 243.94

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