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) 109.9 100.9 111.6 100.4 107.3 98.3 113.8 100.8 112 109.2 110.1 106.6 115.4 102.5 111.9 97.2 Choose one: Since we only know the sample standard deviation, we should use the t-statistic. Since we only know the sample standard deviation, we should use the z-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. Does the given information satisfy the normality requirement? Yes; baseballs are made of leather, which is totally normal. No; we must have a sample size of at least 40. No; we must have a sample size of at least 30. Yes; we are told to assume that the population data is approximately normal, so sample size of 30 is not required. 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. < μμ <

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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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)

109.9	100.9	111.6	100.4
107.3	98.3	113.8	100.8
112	109.2	110.1	106.6
115.4	102.5	111.9	97.2

Choose one:

Since we only know the sample standard deviation, we should use the t-statistic.
Since we only know the sample standard deviation, we should use the z-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.

Does the given information satisfy the normality requirement?

Yes; baseballs are made of leather, which is totally normal.
No; we must have a sample size of at least 40.
No; we must have a sample size of at least 30.
Yes; we are told to assume that the population data is approximately normal, so sample size of 30 is not required.

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.

< μμ <

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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