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

Helppppppppppp I have 3 minutes

Answers

Answer:

It definitely is linear, and it is a straight line

Step-by-step explanation:

Try using desmos, it may help

Answer:

A) it is linear and it is a straight line

Step-by-step explanation:

it is a linear equation. It will be straight

y=mx+b is linear

There are 30 students in a math class.
If 28 were present for class, what
percent are in class?

Answers

Answer:

93%

Step-by-step explanation:

28 divided by 30= 0.93

0.93= 93%

Answer:

100%

Step-by-step explanation:

30 +28=58 this is the total of people in class

58/58× 100=100%

can I get help PLEEEEEEEEEEEEEASE

Answers

Answer:

what do you need help with? i can try to help you

Step-by-step explanation:

Answer:

Help with what, where is the ?

If -5x-y=1 is a true equation, what would be the value of 5(-5x-y)?

Answers

Answer:

-25-5x-5y

Step-by-step explanation:

A clothing business finds there is a linear relationship between the number of shirts, n (in thousands) it can sell and the price, P, it can charge per shirt. In particular, historical data shows that 3 thousand shirts can be sold at a price of $69 each, and that 7 thousand shirts can be sold at a price of $61 each. Find the equation of the form P(n)

Answers

Answer:

The equation of the form P(n) is:

P(n)=-0.002n+75

Step-by-step explanation:

From the information provided, you have two points: (3000, 69) and (7000, 61). With this, you can find the slope using the following formula:

m=(p1-p2)/(n1-n2)

m=slope

p1=69

p2=61

n1=3000

n2=7000

m=(69-61)/(3000-7000)

m=8/-4000

m=-0.002

Now that you have the slope, you can find the the equation of the form P(n):

P(n)=-0.002(n-3000)+69

P(n)=-0.002n+6+69

P(n)=-0.002n+75

According to this, the answer is that the equation of the form P(n) is:

P(n)=-0.002n+75

Juan Carlos has been asked to find the distance between two points on a coordinate grid using the distance formula calculate the distance between points (-3,2) and (12,10)

Answers

The answer is down below. It is 17 units

in a book reading contest students read as many books as they can in one week. the number of books read by each student are given, use the data to make a histogram

2, 10, 5, 4, 1, 3, 2, 6, 4, 8, 1, 3, 5

Answers

Answer:

C

Step-by-step explanation:

Process of elimination. A) had the wrong numbers on the bottom. B) has the right information but it's too narrow. D) has the wrong information. I just took the quiz and got this questions right. Hope this helps!

Answer:

C is the approximant answer

Solve the equation by completing the square.
a2 - 14a - 32 = 0

Answers

Answer:

a=16,-2

Step-by-step explanation:

Use the formula (b/2)^2 in order to create a new term. Solve for a by using this term to complete the square.

For the following right triangle, find the side length x.
12
5

Answers

Answer:

x = 13

Step-by-step explanation:

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]c^{2} = 5^{2} + 12^{2}[/tex]

[tex]c ^{2} = 25 + 144[/tex]

[tex]c^{2} = 169[/tex]

[tex]\sqrt{c^2} = \sqrt{169}[/tex]

[tex]c = 13[/tex]

the 30% discount on a $49 dollhouse​

Answers

Answer:

34.30

Step-by-step explanation:

$14.70 is 30% of $49 so

The total would be $34.30 after the discount

But the discount is %14.70

Please help me :) I will give Brainiest to whoever does! PLEASE HURRY

Answers

Answer:

18.33

Step-by-step explanation:

please help I will give Brainliest even if its old I still need answers please. ​

Answers

Answer:

Mean: 64

Median: 64

Mode: 65

Range: 8

Step-by-step explanation:

Mean: add up all the numbers and divide by how many numbers there are

Median: write them out in lowest to highest and cross off from both ends

Mode: the number that shows up the most

Range: Subtract the highest from the lowest

The ratio of cows to chickens on Tweedy's Farm is 2:7. Which farms have a greater ratio of cows to chickens than Tweedy's Farm? Select all that apply.

a Steller Stover's Farm 3 cows for 5 chickens

b Awesome Ansel's Farm 1 cow for every 5 chickens

c Happy Hall's Farm 1 cow for every 3 chicken

d Jumping Jack Jones Farm 3 cows for every 8 chickens ​

Answers

The answer would be B) Awesome Ansel's Farm 1 cow for every 5 chickens.

Hey I just want you to know to have a bless day

Simplify.
5a√2+3a√2


16a
8
8a

Answers

Answer:

8a[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Given

5a[tex]\sqrt{2}[/tex] + 3a[tex]\sqrt{2}[/tex] ← factor out [tex]\sqrt{2}[/tex] from each term

= [tex]\sqrt{2}[/tex] (5a + 3a)

= 8a[tex]\sqrt{2}[/tex]

Solve for the length of BA and BC, round your answer to 1 decimal place

Answers

Answer:

[tex]BA = 6.0[/tex]

[tex]BC = 13.4[/tex]

Step-by-step explanation:

Given

The attached triangle

Solving (a) BA

Considering the tangent of angle C, we have:

[tex]tan\ C = \frac{BA}{AC}\\[/tex]

This gives:

[tex]tan\ 25 = \frac{BA}{12}[/tex]

Make BA the subject

[tex]BA = 12 * tan\ 25[/tex]

[tex]BA = 12 * 0.4663[/tex]

[tex]BA = 6.0[/tex] --- approximated

Solving (a) BC

Using Pythagoras theorem

[tex]BC^2 = BA^2 + AC^2[/tex]

[tex]BC^2 = 6.0^2 + 12^2[/tex]

[tex]BC^2 = 180[/tex]

Square root of both sides

[tex]BC = \sqrt{180[/tex]

[tex]BC = 13.4[/tex]

What is the value of xwhen ik o h)(r)
-1?
OA.
2
OB.
-3
O C. 1
OD.
4
I NEED HELP ASAP

Answers

Answer:

4

Step-by-step explanation:

A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct in
your answer

Answers

Answer:

59.5 cm

Step-by-step explanation:

Find the area of the entire rectangle first. Formula is base times height: [tex]9*8[/tex]

=72

Next, find the missing sides by subtracting [tex]8-3[/tex] and [tex]9-4[/tex].  

=5 and 5

Then find the area of the triangle. Formula is base times height divided by 2: [tex]\frac{5*5}{2}[/tex]

=12.5

Then subtract to find only the shaded section: [tex]72-12.5[/tex]

=59.5 cm

If l=3, w= 3, and h= 5, what is the volume of this box​

Answers

Answer and Step-by-step explanation:

To find the volume, we multiply the length by the width by the height for a rectangular prism (aka the box).

length = l = 3

width = w = 3

height = h = 5

Now, we multiply each together.

3 × 3 × 5

9 × 5

45

The volume of the box is 45.

#teamtrees #PAW (Plant And Water)

Answer:

the volume of the box would be 45

Step-by-step explanation:

The historical U.S. mean unemployment insurance benefit was reported to be $238 per week. A researcher in the state of Virginia anticipated that sample data would show evidence that the mean weekly unemployment insurance benefit in Virginia was above the national level. What would be the appropriate alternative hypothesis if he wanted to substantiate his suspicion

Answers

Answer:

The appropriate alternative hypothesis if he wanted to substantiate his suspicion would be [tex]H_{a}: \mu > 238[/tex]

Step-by-step explanation:

At the null hypothesis, we test that the mean is equal to a certain value.

At the alternate hypothesis, we test that the mean is different, less than or more than the mean value tested at the null hypothesis.

The historical U.S. mean unemployment insurance benefit was reported to be $238 per week.

This means that the null hypothesis is:

[tex]H_{0}: \mu = 238[/tex]

A researcher in the state of Virginia anticipated that sample data would show evidence that the mean weekly unemployment insurance benefit in Virginia was above the national level.

This means that the alternate hypothesis is:

[tex]H_{a}: \mu > 238[/tex]

plssss help i just need the answer

Answers

Answer:

x=19

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

6x+3x-5+14=180

9x+9=180

   -9    -9

9x=171

/9   /9

x=19

In the diagram, R, S, and T are all points of tangency. What is the perimeter of Triangle
XYZ?

Answers

Answer:

54 cm

Step-by-step explanation:

Perimeter = TZ + TX + RX + RY + SY + SZ

TZ = 5 cm

TX = 13 cm

RY = 9 cm

RX = TX = 13 cm (tangents drawn from and external point)

SY = RY = 9 cm (tangents drawn from and external point)

SZ = TZ = 5 cm (tangents drawn from and external point)

Plug in the values:

Perimeter = 5 + 13 + 13 + 9 + 9 + 5 = 54 cm

Imaginary numbers. What is (-i)^5?

Answers

That is basic algarethem that is your answer

The area of a rectangular flower bed is 12 square yards and the length is 4 yards. What is the
width?

Answers

Answer:

Step-by-step ex

L x W = Area

4 x W = 12

4 times what = 12?

3

So

L x W = A

4 x 3 = 12

How do I start this problem? I don't need help with the graphing part.

Answers

Answer:

x = 6 , y = 0   (x , y) = (6 , 0)

x = 12, y = 3   (x , y) = (12 , 3)

x = 24, y = 9   (x , y) = (24 , 9)

Step-by-step explanation:

Simply plug in a x, and find a y that would make the equation true:

When x = 6:

6 - 2y = 6

6 (-6) - 2y = 6 (-6)

-2y = 0

(-2y)/-2 = (0)/-2

y = 0

When x = 6, y = 0    (x , y) = (6 , 0)

When x = 12:

12 - 2y = 6

12 (-12) -2y = 6 (-12)

-2y = -6

(-2y)/-2 = (-6)/-2

y = 3

When x = 12, y = 3   (x , y) = (12 , 3)

When x = 24:

24 - 2y = 6

24 (-24) - 2y = 6 (-24)

-2y = -18

(-2y)/-2 = (-18)/-2

y = 9

When x = 24, y = 9   (x , y) = (24 , 9)

~

PLEASE HELP
x + 2/3 = 9/10

Answers

Answer:

The answer is x= 7/30

If 60 minutes equals one hour, which expression would you use to find the number of
hours in 240 minutes?

Answers

Answer is: 60x=240
240/60=40

I need help please.

Answers

Step-by-step explanation:

if I had to guess it's probably true

It is desired to compare the hourly rate of an entry-level job in two fast-food chains. Eight locations for each chain are randomly selected throughout the country, the selections for each chain being independent. The following hourly rates are recorded:
Chain A 4.25 4.75 3.80 4.50 3.90 5.00 4.00 3.80
Chain B 4.60 4.65 3.85 4.00 4.80 4.00 4.50 3.65
Under the assumption of normality and equal variances, can it be concluded at the 5% significance level that chain A pays more than chain B for the job under consideration?

Answers

Answer:

It can be concluded that at 5% significance level that there is no difference in the amount paid by chain A and chain B for the job under consideration

Step by Step Solution:

The given data are;

Chain A 4.25, 4.75, 3.80, 4.50, 3.90, 5.00, 4.00, 3.80

Chain B 4.60, 4.65, 3.85, 4.00, 4.80, 4.00, 4.50, 3.65

Using the functions of Microsoft Excel, we get;

The mean hourly rate for fast-food Chain A, [tex]\overline x_1[/tex] = 4.25

The standard deviation hourly rate for fast-food Chain A, s₁ = 0.457478

The mean hourly rate for fast-food Chain B, [tex]\overline x_2[/tex] = 4.25625

The standard deviation hourly rate for fast-food Chain B, s₂ = 0.429649

The significance level, α = 5%

The null hypothesis, H₀:  [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]

The alternative hypothesis, Hₐ:  [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]

The pooled variance, [tex]S_p^2[/tex], is given as follows;

[tex]S_p^2 = \dfrac{s_1^2 \cdot (n_1 - 1) + s_2^2\cdot (n_2-1)}{(n_1 - 1)+ (n_2 -1)}[/tex]

Therefore, we have;

[tex]S_p^2 = \dfrac{0.457478^2 \cdot (8 - 1) + 0.429649^2\cdot (8-1)}{(8 - 1)+ (8 -1)} \approx 0.19682[/tex]

The test statistic is given as follows;

[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{S_{p}^{2} \cdot \left(\dfrac{1 }{n_{1}}+\dfrac{1}{n_{2}}\right)}}[/tex]

Therefore, we have;

[tex]t=\dfrac{(4.25-4.25625)}{\sqrt{0.19682 \times \left(\dfrac{1 }{8}+\dfrac{1}{8}\right)}} \approx -0.028176[/tex]

The degrees of freedom, df = n₁ + n₂ - 2 = 8 + 8 - 2 = 14

At 5% significance level, the critical t = 2.145

Therefore, given that the absolute value of the test statistic is less than the critical 't', we fail to reject the null hypothesis and it can be concluded that at 5% significance level that chain A pays the same as chain B for the job under consideration

132 beads is split into 96 beads and 36 beads. in simplest form , what is the ratio of the split​

Answers

Answer:

16:6

Step-by-step explanation:

96:36

Highest common factor is 6

divide both sides by 6

16:6

EASY Work!! Please look at the picture and yes it’s easy for other people but not me for people asking.

Answers

Answer:

7()=11

8()=42

I could barely see the answer for number 9 sorry :(

Step-by-step explanation:

the 7() is 2(3)+5

2(3)=6

6+5=11

Question (8)

c^2+3a x b

c(6)^2+ 3(3) x 2/3

36+9 x 2/3

36+6=42

Answer:

(7)=11

(8)=42

Step-by-step explanation:

here

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