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Muzzle Velocities 1
Find muzzle velocities of cartridges made from different types of gunpowder. |
Football: Bench Presses and Squats: Problem |
A set of data was collected for the Brigham Young football team. Information on players’ positions, heights, weights, percent body fat, neck measurements, and performances on various weight lifts were recorded.
Determine the value of the covariance between bench press and squat, and state what this says about the relationship between the two variables. |
Lee Creighton
SAS Institute Inc
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Football: Bench Presses and Squats: Sample Data | |
The Football data set was collected from the Brigham Young University football program. Various body composition measurements (such as weight, height, percent body fat) and physical performance measurements (such as speed, bench press, and squat) are included in the data set. Note: Some observations have missing data values. These are the variables in the data set: Name | Type | Description | | Height | num | height of player (inches) | | Weight | num | weight of player (pounds) | | Fat | num | percent body fat | | Speed | num | evaluation of player’s speed | | Neck | num | neck measurement (inches) | | Bench | num | player’s bench press (pounds) | | Squat | num | player’s squat (pounds) | | LegPress | num | player’s leg press (pounds) | | Position | num | primary position | | Position2 | num | secondary position | | Speed2 | num | second evaluation of player’s speed | |
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Source of Data
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Sall, J., Creighton, L., & Lehman, A. (2006). JMP Start Statistics, Third Edition. Cary, NC: SAS Institute Inc. |
Football: Bench Presses and Squats: Solution |
Using SAS Enterprise Guide, cov(Bench, Squat) = 3530.19 lbs. This implies that as a player’s bench press increases his squat increases, and vice versa. That is, we would expect that the more a player bench presses the more he can squat, and the more a player can squat the more he bench presses. |
Muzzle Velocities 1: Problem |
A government agency, assigned to compare the efficiency of weaponry used by state-level law enforcement with that of weaponry used by the general public, performed an experiment where the muzzle velocities of cartridges made from two types of gunpowder were recorded. The same type of firearm and cartridge was used for both types of gunpowder in the study. However, one type of powder (powder 1) is available for the general public and the other (powder 2) is made available primarily to law enforcement officials.
Determine the mean and standard deviation, and give the five-number summary for each type of gunpowder. |
SAS Institute Inc.
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Muzzle Velocities 1: Sample Data | |
The Bullets data set contains data that was collected to determine whether there is a difference in the muzzle velocity of cartridges made from two types of gunpowder. These are the variables in the data set: Name | Type | Description | | powder | num | type of gunpowder | | velocity | num | muzzle velocity | |
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Source of Data
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This data is sample data from SAS Institute Inc. |
Muzzle Velocities 1: Solution |
The mean and standard deviation of muzzle velocity for powder 1 are 27.6375 and 0.3925648. For powder 2, these statistics are 28.0600 and 0.3062316.
For powder 1, this is the five-number summary:
27.10 27.35 27.55 28.05 28.10
For powder 2, this is the five-number summary:
27.60 27.90 28.00 28.30 28.50 |
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