A random sample of home runs hit by Major League baseball players was selected, and their exit velocities were recorded below. Assuming that home run exit velocities are close to normally distributed, construct a 95% confidence interval for the mean exit velocity of a home run hit by a Major League baseball player. Exit Velocities (mph) 110.6 107 113 105.2 111.4 108.6 99.7 102.4 115 109.8 114.8 109.8 104.4 104.1 99.1 100.6 Choose one: Since we only know the sample standard deviation, we should use the t-statistic. O Since we know the population standard deviation, we should use the z-statistic. Since we know the population standard deviation, we should use the t-statistic. Since we only know the sample standard deviation, we should use the z-statistic. Does the given information satisfy the normality requirement? No; we must have a sample size of at least 30. Yes; baseballs are made of leather, which is totally normal. Yes; we are told to assume that the population data is approximately normal, so sample size of 30 is not required. No; we must have a sample size of at least 40. OF V What is the 95% confidence interval for the mean exit velocity of a home run hit by a Major League baseball player? Remember, CI are rounded to 3 decimal places. <με

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A random sample of home runs hit by Major League baseball players was selected, and their exit velocities
were recorded below. Assuming that home run exit velocities are close to normally distributed, construct a
95% confidence interval for the mean exit velocity of a home run hit by a Major League baseball player.
Exit Velocities (mph)
110.6
107
105.2
113
99.7 102.4
111.4
108.6
115 109.8 114.8 109.8
104.4 104.1 99.1
100.6
Choose one:
Since we only know the sample standard deviation, we should use the t-statistic.
Since we know the population standard deviation, we should use the z-statistic.
Since we know the population standard deviation, we should use the t-statistic.
Since we only know the sample standard deviation, we should use the z-statistic.
Does the given information satisfy the normality requirement?
No; we must have a sample size of at least 30.
Yes; baseballs are made of leather, which is totally normal.
ⒸYes; we are told to assume that the population data is approximately normal, so sample size of 30 is
not required.
No; we must have a sample size of at least 40.
OF V
What is the 95% confidence interval for the mean exit velocity of a home run hit by a Major League baseball
player? Remember, Cl are rounded to 3 decimal places.
<με
Transcribed Image Text:A random sample of home runs hit by Major League baseball players was selected, and their exit velocities were recorded below. Assuming that home run exit velocities are close to normally distributed, construct a 95% confidence interval for the mean exit velocity of a home run hit by a Major League baseball player. Exit Velocities (mph) 110.6 107 105.2 113 99.7 102.4 111.4 108.6 115 109.8 114.8 109.8 104.4 104.1 99.1 100.6 Choose one: Since we only know the sample standard deviation, we should use the t-statistic. Since we know the population standard deviation, we should use the z-statistic. Since we know the population standard deviation, we should use the t-statistic. Since we only know the sample standard deviation, we should use the z-statistic. Does the given information satisfy the normality requirement? No; we must have a sample size of at least 30. Yes; baseballs are made of leather, which is totally normal. ⒸYes; we are told to assume that the population data is approximately normal, so sample size of 30 is not required. No; we must have a sample size of at least 40. OF V What is the 95% confidence interval for the mean exit velocity of a home run hit by a Major League baseball player? Remember, Cl are rounded to 3 decimal places. <με
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