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 percentag 1.6 2.4 1.2 6.6 2.3 0.0 1.8 2.5 6.5 1.8 2.7 2.0 1.9 1.3 2.7 1.7 1.3 2.1 2.8 1.4 3.8 2.1 3.4 1.3 1.5 2.9 2.6 0.0 4.1 2.9 1.9 2.4 0.0 1.8 3.1 3.8 3.2 1.6 4.2 0.0 1.2 1.8 2.4 n USE SALT (a) Use a calculator with mean and standard deviation keys to find x and s. (Round your answers to four decimal places.) x = % (b) Compute a 90% confidence interval for the population mean Lu of home run percentages for all professional baseball players. Hint: If you use the Student's t distribution table, be sure to use the closest d.f. that is smaller. (Round your answers to two decimal places.) lower limit upper limit % (c) Compute a 99% confidence interval for the population mean u of home run percentages for all professional baseball players. (Round your answers to two decimal places.) lower limit % upper limit

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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
1.6
2.4
1.2
6.6
2.3
0.0
1.8
2.5
6.5
1.8
2.7
2.0
1.9
1.3
2.7
1.7
1.3
2.1
2.8
1.4
3.8
2.1
3.4
1.3
1.5
2.9
2.6
0.0 4.1
2.9
1.9
2.4
0.0
1.8
3.1
3.8
3.2
1.6
4.2
0.0
1.2 1.8
2.4
A USE SALT
(a) Use a calculator with mean and standard deviation keys to find x and s. (Round your answers to four decimal places.)
S =
(b) Compute a 90% confidence interval for the population mean u of home run percentages for all professional baseball players. Hint: If you use the Student's t distribution table,
be sure to use the closest d.f. that is smaller. (Round your answers to two decimal places.)
lower limit
upper limit
(c) Compute a 99% confidence interval for the population mean u of home run percentages for all professional baseball players. (Round your answers to two decimal places.)
lower limit
upper limit
(d) The home run percentages for three professional players are below.
Player A, 2.5
Player B, 2.3
Player C, 3.8
Examine your confidence intervals and describe how the home run percentages for these players compare to the population average.
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O 7:14
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7
8.
9.
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Transcribed Image Text: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 1.6 2.4 1.2 6.6 2.3 0.0 1.8 2.5 6.5 1.8 2.7 2.0 1.9 1.3 2.7 1.7 1.3 2.1 2.8 1.4 3.8 2.1 3.4 1.3 1.5 2.9 2.6 0.0 4.1 2.9 1.9 2.4 0.0 1.8 3.1 3.8 3.2 1.6 4.2 0.0 1.2 1.8 2.4 A USE SALT (a) Use a calculator with mean and standard deviation keys to find x and s. (Round your answers to four decimal places.) S = (b) Compute a 90% confidence interval for the population mean u of home run percentages for all professional baseball players. Hint: If you use the Student's t distribution table, be sure to use the closest d.f. that is smaller. (Round your answers to two decimal places.) lower limit upper limit (c) Compute a 99% confidence interval for the population mean u of home run percentages for all professional baseball players. (Round your answers to two decimal places.) lower limit upper limit (d) The home run percentages for three professional players are below. Player A, 2.5 Player B, 2.3 Player C, 3.8 Examine your confidence intervals and describe how the home run percentages for these players compare to the population average. Aol O 7:14 acer esc C@ %23 $4 backspace 6. 7 8. 9. * CO
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