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Directions: 1. Compare batting averages: Here are batting performances for Dave Justin and Andy Van Sky for two consecutive seasons, 1989 and 1990. Complete the table. (Note: At-Bats is the number of attempts to hit the ball for the entire season. Hits is the number of successful attempts. Average = Hits/At-Bats. This is the batting average for the player. Express batting averages to 3 decimal places. A higher number indicates a better batting average. Andy Van-Sky Dave Justin Year Hits At-Bats Average Hits At-Bats Average 1989 11 50 110 474 1990 125 440 145 498 Combined 2. Who has the best average for 1989? 3. Who has the best average for 1990? 4. Who has the best average when the two years are combined? The previous example is an illustration of what we call Simpson's Paradox. Using the book and the previous example: 1) write a paragraph explaining what Simpson's Paradox is and 2) give at least one explanation on how this can occur. (Not an example, an EXPLANATION of what makes it happen. You may want to refer to the video for the brief statement made about this.)

          Directions:
1. Compare batting averages: Here are batting performances for Dave Justin and Andy Van Sky for two consecutive
seasons, 1989 and 1990. Complete the table. (Note: At-Bats is the number of attempts to hit the ball for the
entire season. Hits is the number of successful attempts. Average = Hits/At-Bats. This is the batting average for
the player. Express batting averages to 3 decimal places. A higher number indicates a better batting average.
Andy Van-Sky
Dave Justin
Year	Hits	At-Bats	Average	Hits	At-Bats	Average
1989	11	50		110	474	
1990	125	440		145	498	
Combined
2. Who has the best average for 1989?
3. Who has the best average for 1990?
4. Who has the best average when the two years are combined?
The previous example is an illustration of what we call Simpson's Paradox. Using the book and the previous
example:
1) write a paragraph explaining what Simpson's Paradox is and
2) give at least one explanation on how this can occur. (Not an example, an EXPLANATION of what makes it
happen. You may want to refer to the video for the brief statement made about this.)

Show more…

Directions:
1. Compare batting averages: Here are batting performances for Dave Justin and Andy Van Sky for two consecutive
seasons, 1989 and 1990. Complete the table. (Note: At-Bats is the number of attempts to hit the ball for the
entire season. Hits is the number of successful attempts. Average = Hits/At-Bats. This is the batting average for
the player. Express batting averages to 3 decimal places. A higher number indicates a better batting average.
Andy Van-Sky
Dave Justin
Year Hits At-Bats Average Hits At-Bats Average
1989 11 50 110 474
1990 125 440 145 498
Combined
2. Who has the best average for 1989?
3. Who has the best average for 1990?
4. Who has the best average when the two years are combined?
The previous example is an illustration of what we call Simpson's Paradox. Using the book and the previous
example:
1) write a paragraph explaining what Simpson's Paradox is and
2) give at least one explanation on how this can occur. (Not an example, an EXPLANATION of what makes it
happen. You may want to refer to the video for the brief statement made about this.)

Added by Matthew B.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert John Long

03/22/2023

Step 1

Average = Hits/At-Bats = 11/50 = 0.220 Show more…

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Directions: 1. Compare batting averages: Here are batting performances for Dave Justin and Andy Van Sky for two consecutive seasons, 1989 and 1990. Complete the table. (Note: At-Bats is the number of attempts to hit the ball for the entire season. Hits is the number of successful attempts. Average = Hits/At-Bats. This is the batting average for the player. Express batting averages to 3 decimal places. A higher number indicates a better batting average. Andy Van-Sky Dave Justin Year Hits At-Bats Average Hits At-Bats Average 1989 11 50 110 474 1990 125 440 145 498 Combined 2. Who has the best average for 1989? 3. Who has the best average for 1990? 4. Who has the best average when the two years are combined? The previous example is an illustration of what we call Simpson's Paradox. Using the book and the previous example: 1) write a paragraph explaining what Simpson's Paradox is and 2) give at least one explanation on how this can occur. (Not an example, an EXPLANATION of what makes it happen. You may want to refer to the video for the brief statement made about this.)

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Transcript

00:01 Pairing three landmark baseball cheapens, thai cobbs, ted williams, and george brett in obviously different decades.

00:12 And these averages cannot be compared directly because of the distribution of major league batting averages has changed over the years.

00:21 So the distributions are symmetrical except for outliers such as cobb, williams, and brett.

00:27 So while the mean batting average has been roughly constant, by rule changes the balance between hitting and pitching standard aviation has dropped over time and here are the facts and so we have these these three batters we have the decades that they played in so tie cobb was in the 1910s ted william in the 1940s and the jordan fred in the 70s in the 70s early 80s we want to find the standardized scores for cobb williams and brett and figure out who was the best hitter right based on on these standardized scores.

01:06 So i'll write these over here real quick.

01:09 So the 1910s, right? we had a mean of 0 .266 and a standard deviation of 0 .0371.

01:20 And this would be cobb, cobb's era.

01:23 We have the 1940s, right? 0 .267 as i mean in 0 .0326.

01:34 This is williams.

01:37 And the 1970s, 0 .261 in 0 .0317.

01:47 And this was george brett.

01:51 And now we want to know finding the standardized scores.

01:54 Who was the best hitter? well, in 1911, okay, so cobb in 1911 had an average of 0 .42.

02:09 Williams in 1941 had an average of 0 .39.

02:19 I'm sorry.

02:23 Erase that one.

02:23 That was george brits.

02:27 Williams had an average of 0 .4...

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