The height distribution of NBA players follows a normal distribution with a mean of 79 inches and standard deviation of 3.5 inches. What would be the sampling distribution of the mean height of a random sample of 16 NBA players?

Answers

Answer 1

Answer:

The probability will be "0.0111".

Step-by-step explanation:

The given values are:

Mean,

[tex]\mu[/tex] = 79

Standard deviation,

[tex]\sigma[/tex] = 3.5

Now,

⇒ [tex]\sigma\bar x = \frac{\sigma}{\sqrt n}[/tex]

         [tex]= \frac{3.5}{\sqrt 16}[/tex]

         [tex]=0.875[/tex]

⇒ [tex]P(\bar x > 81) = 1 - P(\bar x < 81)[/tex]

So,

= [tex]1 - P{\frac{(\bar x - \mu \bar x )}{ \sigma \bar x} < \frac{(81 - 79) }{0.875} ][/tex]

= [tex]1 - P(z < 2.2857)[/tex]

= [tex]0.0111[/tex]


Related Questions

What is the sum of ​23 17/27+8/9​ ?

Answers

Answer:

232533

Step-by-step explanation:

add the sum

The sum of the angles of any triangles. Write each answer on the line provided beside the corresponding letter. Notice that angle C is in an equilateral triangle and angle D is in an isosceles triangle.

Answers

Step-by-step explanation:

A=60B= 60 c= 60 D=42E35F= 35G= 55H= 4 5 I= 45J= 1 5 k= 15 L= 75 M= 120 N= 21O= 69P= 21Q= 55R= 55s= 42T= 42u= 69

Brandon is landscaping his backyard. He bought 2 7\8tons of decorative rock and 1 2\5 tons of boulders. How many total tons of rock did he buy?

Answers

Answer:

4 11/40 hope this helps :)

Step-by-step explanation:

Answer:

4 11/40

Step-by-step explanation:

I had this question

A 3x33 cube is built out of twenty-seven 1x1x1 blocks. Then,
seven ixi blocks are removed. Specifically, the center block
from each of the six faces of the cube is removed and the center
block of the cube is removed. What is the total surface area of
the modified cube?

Answers

Answer:-7^2(negitive seven to the second power)

Step-by-step explanation:

Solve the equation-17x-16=-135

Answers

Answer:

x=7

Step-by-step explanation:

Add 16 to both sides

-17x-16+16=-135+16

Simplify

-17x=-119

Divide both sides by -17

-17x/-17=-119/-17

Simplify

x=7

Hope this helped! :)

help me please I don't understand ​

Answers

Step-by-step explanation:

Option 3 must be correct.

5.)
A ball is thrown into the air with an initial velocity of 96 feet per second. Given the formula below wheret,
represents time in seconds and s(t), the height of the ball, when will the ball hit the ground?
s(t) = -16t? + 960

Show full work

Answers

Answer: The ball will hit the ground 6 seconds after it has ben thrown, at t = 6s.

Step-by-step explanation:

The equation for the height of the ball should be:

s(t) = (-16ft/s^2)*t^2 + 96ft/s*t

When s(t) = 0ft, means that the ball is in the ground

This represents the height of the ball as a function of t, the time in seconds.

We can see that at t = 0s:

s(0s) = (-16ft/s^2)*(0s)^2 + 96ft/s*(0s) = 0ft

Then at the time 0 seconds, the ball is in the ground, so we must look at the other root of the equation

(-16ft/s^2)*t^2 + 96ft/s*t = 0ft

To find it, we can use the Bhaskara equation, in this case is:

[tex]t = \frac{-96ft/s +- \sqrt{(96ft/s)^2 - 4*(-16ft/s^2)*0} }{-2*16ft/s^2} = \frac{-96ft/s^2 +-96ft/s^2}{-32ft/s^2}[/tex]

Then we have the two solutions:

t = (-96ft/s + 96ft/s)/(-32 ft/s^2) = 0s  (the one that we already found)

And the other one is:

t = (-96ft/s - 96ft/s)/(-32ft/s^2) = 6s

Then:

s(6s) = 0ft

This means that the ball will hit the ground at t = 6 seconds.

The time required to hit the ground is required.

The time taken by the ball to reach the ground is 2.45 seconds.

The equation is

[tex]s(t)=-16t^2+96[/tex]

At the ground [tex]t=0[/tex]

so,

[tex]0=-16t^2+96\\\Rightarrow 16t^2=96\\\Rightarrow t=\sqrt{\dfrac{96}{16}}\\\Rightarrow t=2.45\ \text{s}[/tex]

The time taken by the ball to reach the ground is 2.45 seconds.

Learn more:

https://brainly.com/question/18769085?referrer=searchResults

Hey, I need help in this one.

Answers

Answer:

True........ :)

Answer:

false

Step-by-step explanation:

its false cuz its 3x bigger

2*3=6

4*3=12

hope dis helps

might be wrong buh wutever

ion care if u report it

please help
what is the solution to the equation below?
34x + 95 = 3 (14x + 9)​

Answers

Answer:

x=8+1/2

Step-by-step explanation:

Hope this helps, good luck!

Answer:

x=7/2=8.500

Step-by-step explanation:

I will give branliest to the first person to answer!
Simplify the following expressions
Please include the work its greatly appriciated!
1. 8x - 5 + 2x
2. 2.5w - 3y + 4w
3. 3(5 - 2n) + 9n
4. 5/7x + 15 = 9/14x - 9

Answers

Answer:

1: 10x-5

2: 6.5w-3y

3: 15+3n

4: not sure

I need some help with these, I would appreciate it.

Answers

The first one I think is B

marking brainly! Identify the coefficient in the term 7x2 y3.
2
3
7

Answers

Step-by-step explanation:

If you meant 7 times 2y^3, the coefficient term for y^3 would be 2 and coefficient of y^0 term (or the constant term) would be 7

HELP PLEASE
The function f(x) = 0.25x + 1.2 represents the weight of a puppy o weeks after it was born. What does the slope of the function represent?
A.The initial weight of the puppy is 1.2 pounds.
B.The initial weight of the puppy is 0.25 pound.
C.The puppy gains approximately 1.2 pounds each week.
D.The puppy gains approximately 0.25 pound each week.

Answers

D.The puppy gains approximately 0.25 pound each week.

x = no. of weeks in f(x) = 0.25x + 1.2

Answer:

a

Step-by-step explanation:

Identify the following as an identity, a contradiction, or a conditional equation.
3(x + 2) = 3x + 2

Answers

Contradiction

It’s because contradictions have no solutions. The equation you provided doesn’t have a solution is there.
contradiction


i used google

Anybody know the answer to this?

Answers

Answer:

The answer is 18

Step-by-step explanation:

Substitute b for -3 and y for 5 so 3*5=15

You then subtract -3 from 15 so a negative minus a negative is a positive so the equation would be 3*5=15--3= 3*5=15+3=18

Answer:

3*5 - -3 = 18

Plz i need an accurate answer help me plz. Choices -
-6 or 6

Answers

Answer:

6/2 or it can be 3 and that one will be with the one that says x=1 and 7 will be the answer for the one that says x=5 or it can be 14/2

Step-by-step explanation:

I hope this is what you mean

What is the equation you would set up to solve the following problem? DO NOT SOLVE THE EQUATION.
You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost?

Answers

4x + 5 = 25

x being the cost of each eraser

what does the power of 10 Mean

Answers

Answer:

[tex]x^{10}[/tex]

Step-by-step explanation:

for example, if the variable x stands for 2,  [tex]2^{10}[/tex] stands for 2*2*2*2*2*2*2*2*2*2

The power of 10 is any of the integer powers of the number 10, also known as 10 multiplied by itself a certain amount of times.

Study the diagram of circle C, where two chords, AB and DE, are equidistant from the center.

If AB=3x − 7, and DE = 5(x − 5), what is the length of AB?
Enter the correct value.

Answers

The answer to what is the length of AB and the correct value is 20

I got a 100% on test

3. Jane Windsor financed a $5,900 ski boat with a 12% add-on interest installment loan for 12 months. Given the loan required a 10% down payment, determine the following: The amount of the finance charge? The amount of the finance charge rebate if the loan were to be paid after the 10th payment?

Answers

Answer:

multiply it by .12 then it says for 12 months, multiply it by 12 then

Step-by-step explanation:

Mr. G drove a total of 252 miles and used 42
used dia
gallons of gas last weekend. What is the unit
rate of miles to 1 gallon?
R

Answers

Answer: 890

Step-by-step explanation:

What is the image of 2,-1 after a reflection over the y axis

Answers

There are no images included, but it would be -2,-1.

2= n/3 n=?
In "One-strp multiplication &division equations

Answers

2 = n/3
Multiple both sides by 3
n = 6

What is the absolute value of 2-9i

Answers

Answer:

so we get as,

let, y = 2 - 9i

so the absolute value is |y|

so we get as,

|y| = 2-9i

so the absolute value is  |y|

|y|=√ 2 to the 2nd power plus 9 to the second power

so we get as,

|y|=

√81+4=√85

so the value is √85

Example:

| − 2 − i | = √ 5

Explanation:

Absolute value of a complex number  a + i b  is written as  | a + i b |  and its value as  √a 2 + b 2 .  

Hence, absolute value of  − 2 − i  is  √ ( − 2 ) 2 + ( − 1 ) 2 = √ 4 + 1 = √ 5 .

Step-by-step explanation:

Bailey has 8 pears.
Each pear weighs
1/4 pound. How
many ounces of
pears does Bailey
have?

Answers

The answer is 2 pounds.

Each pound weighs 1/4, so you divide 8 by 1/4 and you get 2.

Please answer number 1? Thank you

Answers

Answer:

This is a normal distribution and we can use the standard score to compute for probabilities. We compute the standard score of the given.

Explnation:

z = (x - mu)/sd

z = (2625 - 2600)/50 = 25/50 = 0.5.

Consulting the z-table, P(z <= 0.5) = 0.6915.

P(z > 0.5) = 1 - P(z <= 0.5) = 1 - 0.6915 = 0.3085.

I hope this helped! <3

In simple terms what exactly would cause this county to experience a food shortage

Answers

Answer:

obese people eating millions a day.

Step-by-step explanation:

URGENT WILL GIVE BRAINLIEST——-Which of the following functions is quadratic?

Answers

Answer:

D

Step-by-step explanation:

Construct a 98% confidence interval to determine whether there is any difference between the mean drug concentration in tablets produced at the two sites. Now analyze the data using a statistical test of hypothesis that the two means are different. Do the inferences drawn from the test of hypothesis and confidence interval agree

Answers

Answer:

Step-by-step explanation:

So, we are given two sites;

Site one: 91.28 , 92.83, 89.35, 91.90 82.85, 94.83, 89.83, 89.00, 84.62, 86.96, 88.32, 91.17, 83.86, 89.74, 92.24, 92.59, 84.21, 89.36, 90.96, 92.85, 89.39, 89.82, 89.91, 92.16, 88.67.

=> The mean = add up all the numbers/ the total numbers (which is 25). = 89.55.

=> The standard deviation = 3.005

SITE TWO: 89.35 86.51 89.04 91.82 93.02 88.32 88.76 89.26 90.36 87.16 91.74 86.12 92.10 83.33 87.61 88.20 92.78 86.35 93.84 91.20 93.44 86.77 83.77 93.19 81.79.

=> The mean= add up all the numbers/ the total numbers (which is 25). = 89.033.

=> Standard deviation = 3.271.

NB: the assumption here is that the variance for both sites are the same.

STEP ONE: DETERMINE THE DEGREE OF FREEDOM AND THE CRITICAL VALUE.

The degree of freedom =( mean of site 1 ) + (mean of site 2) - 2 = (25 + 25) − 2 = 48.

Since the degree of freedom is 48, Recall that the value for alpha given = 0.02. Then, the critical value = 2.407.

STEP TWO: DETERMINE THE STANDARD DEVIATION AND THE STANDARD ERROR FOR BOTH.

Therefore, the standard deviation = √[( 25 - 1) × 3.005^2 + (25 -1) × 3.271^2) ÷ (25 +25 - 2) ] = 3.14.

Also, the standard error = standard deviation × ( √(1/ mean 1 + 1/mean 2) ..

Standard error = 3.14 × [ ✓( 1/25 + 1/25)] = 0.89.

STEP THREE: DETERMINE THE CONFIDENCE INTERVAL.

confidence interval = (89.548 - 89.033 - 2.41 × 0.89, 89.548 - 89.033 + 2.41 × 0.89) = (- 1.62, 2.65).

STEP FOUR: THE HYPOTHESES.

=> THE TWO TAILED TEST.

Jo:μ1​ = μ2​.

Ja: μ1​ ≠ μ2​.

Thus, the rejected region is {t : ∣ t ∣ > 2.7}

As critical value = 2.7 for the degree of freedom which is 48 and α=0.01.

If we do the t - test for this,.we will have;

(89.548 - 89.003)÷ ( standard deviation × √ ( 1/25 + 1/25). = 0.58.

So,from our t - value, is less or equals to the critical value, therefore, the null hypothesis is not rejected.

Also, from the p-value table which gives p=0.565. The p- value is greater than or equal to the alpha value(0.01). therefore, the null hypothesis is not rejected.

We are not going to reject the null hypothesis because the information gathered is not enough.

3)m I really need help

Answers

Answer:  angle ULM = 120 degrees.

====================================================

Explanation:

We'll use the angle addition postulate. This is basically the idea where we can break any angle into smaller parts, or go in reverse to build up larger angles based on smaller pieces.

In this case, we can see that the smaller angles KLU and ULM combine to form the largest angle KLM. Think of it like puzzle pieces.

Let x be the measure of angle ULM

We can say the following

(angle KLU) + (angle ULM) = angle KLM

(36) + (x) = 156

36 + x = 156

To solve for x, we subtract 36 from both sides

36+x-36 = 156-36

x = 120

Angle ULM is 120 degrees.

-------------------

As a check,

(angle KLU) + (angle ULM) = 36 + 120 = 156

which matches with angle KLM, so the answer is confirmed.

ULM = KLM - KLU

ULM = 156 - 36

ULM = 120 degrees


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