SOLUTION: Please Help! The home run percentage is the number of home runs per 100 times at bat. A random sample of 43 professional baseball players gave the following data for home run pe

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Question 148815This question is from textbook Understanding Basic Statistics
: Please Help!
The home run percentage is the number of home runs per 100 times at bat. A random sample of 43 professional baseball players gave the following data for home run percentages. x(bar)=2.29 and s=1.40.
Compute a 99% CI for the population mean of home run percentages for all professional baseball players AND: The home run percentages for 3 professional players are:
Tim Huilett, 2.5 Herb Hunter, 2.0 Jackie Jensen, 3.8
Examine your CI's and describe how home run percentages for these players compare to the population average.
This question is from textbook Understanding Basic Statistics

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The home run percentage is the number of home runs per 100 times at bat. A random sample of 43 professional baseball players gave the following data for home run percentages. x(bar)=2.29 and s=1.40.
Compute a 99% CI for the population mean of home run percentages for all professional baseball players
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E = 2.575 = 2.575*0.2145 = 0.54976... rounded to 5 places
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99% CI: (2.29-E < u < 2.29+E)
= (1.74024.. < 2.83976)
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AND: The home run percentages for 3 professional players are:
Tim Huilett, 2.5 Herb Hunter, 2.0 Jackie Jensen, 3.8
Examine your CI's and describe how home run percentages for these players compare to the population average.
Huilett and Hunter are in the 99% CI range; Jensen is above the range.
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Cheers,
Stan H.