Mathematics College

Three landmarks of baseballachievement are Ty Cobb’s batting average of 0.420 in 1911,Ted Williams’s 0.406 in 1941, and George Brett’s 0.390in 1980. These batting averages cannot be compared directly becausethe distribution of major league batting averages has changed overthe years. The distributions are quite symmetric and (except foroutliers such as Cobb, Williams, and Brett) reasonably normal.While the mean batting average has been held roughly constant byrule changes and the balance between hitting and pitching, thestandard deviation has dropped over time. Here are the facts:
Decade
Mean
Standard Deviation
1910s
0.266
0.0371
1940s
0.267
0.0326
1970s
0.261
0.0317
Compute the standard units for the batting averages of Cobb,Williams, and Brett to compare how far each stood above his peers.Who is the better player of the three?

Answers

Answer 1

Answer:

Ted Williams has the highest standardized score, hence Williams is the best of the three

Cobb is the second highest and hence, the better player

George Brett is third

Step-by-step explanation:

Given the data:

Decade : 1910 __ 1940 ____ 1970

Mean, μ: 0.266 __0.267 ___ 0.261

S/dev, σ : 0.0371 _ 0.0326 __ 0.0317

To compute the standard unit for batting averages, we obtain the standardized score for each of Cobb,Williams, and Brett.

Standardized score (Zscore) : (x - μ) / σ

Cobb, x = 0.420

Ted Williams, x = 0.406

George Brett, x = 0.390

COBB:

Zscore = (0.420 - 0.266) / 0.0371 = 4.1509

Ted Williams :

Zscore = (0.406 - 0.267) / 0.0326 = 4.2638

George, Brett = (0.390 - 0.261) / 0.0317 = 4.0694

Ted Williams has the highest standardized score, hence Williams is the best of the three

Cobb is the second highest and hence, the better player

George Brett is third

Related Questions

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Answer:

[tex]4a^0 = 4 \times 1 = 4[/tex]

4
Explanation:
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Answer:

Step-by-step explanation:It isn’t. There are really 4 different versions of the exponential function. Positive (like the growth of money invested at 5%), negative (like the US debt constantly becoming more negative), positive decay (like the half life of a radioactive element), or negative decay ( pay half your loan amount in year 1, 1/4 in year two, 1/8 in year three, you in theory will never pay your loan completely but the debt is growing closer to zero.

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Answer:

y = (x - 4)² - 4

Step-by-step explanation:

y = x² - 8x + 12

y = ( x² - 2(4)x + 4² ) - 4² + 12

y = (x - 4)² - 4

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Answer:

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Answers

Answer:

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Step-by-step explanation:

I’d say the two on the right side, but I’m not sure so don’t take my word for it

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Answer:

If youre looking for the value of y:

Step-by-step explanation:

4/5 y=32

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Answer:

Step-by-step explanation:

4/5y=32. y is a unknown number. How i solve these is i do 32 times 5 which is 160 and then 160 divided by 4 is 40. 4/5 of 40 is 32.

4. Mrs. Walter's circular bracelet has a radius of 4
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Answer:

The circumference is 9. And the other one is 10

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Answers

Answer:

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Step-by-step explanation:

Find the slope of the line.

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Answers

Points: (-2,-4) and (2,6)
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Answer:

5/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-(-4))/(2-(-2))

m=(6+4)/(2+2)

m=10/4

simplify

m=5/2

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Let's solve your equation step-by-step.

10/a=15/24

Step 1: Cross-multiply.


10/a=15/24


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Step 2: Flip the equation.


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Please answer the questions attached below

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Answer:

Step-by-step explanation:

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:::::

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Answer:

a. Look attachment!

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Step-by-step explanation:

im not sure have a good day stay safe and get a good grade

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Answer:

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Step-by-step explanation:

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Answer:

x + 4 = 10

Step-by-step explanation:

a number: x

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Answer:

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Step-by-step explanation:

350d (x 4) = 1400

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Answer:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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