SOLUTION: The commissioner of MLB baseball would like to estimate the diameter of baseballs that are used in league play and now in the World Series. The manufacturer has specified that the
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Question 204434: The commissioner of MLB baseball would like to estimate the diameter of baseballs that are used in league play and now in the World Series. The manufacturer has specified that the baseballs are supposed to have a population mean diameter of 7.30 inches and a standard deviation equal to .04 inches. A random sample of 25 baseballs selected from a shipment indicates a sample average of 7.31 inches. Construct a 95% confidence interval estimate of the true average diameter of the baseballs in this shipment. Does the population of baseballs need to have a diameter that is normally distributed here?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The commissioner of MLB baseball would like to estimate the diameter of baseballs that are used in league play and now in the World Series. The manufacturer has specified that the baseballs are supposed to have a population mean diameter of 7.30 inches and a standard deviation equal to .04 inches. A random sample of 25 baseballs selected from a shipment indicates a sample average of 7.31 inches. Construct a 95% confidence interval estimate of the true average diameter of the baseballs in this shipment. Does the population of baseballs need to have a diameter that is normally distributed here?
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sample mean = 7.31
E = 1.96*0.04/sqrt(25) = 0.0157
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95% CI: 7.31-0.0157 < u < 7.31+0.0157
95% CI: 7.2943 < u < 7.3257
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Cheers,
Stan H.
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