A certain type of golfball is tested by a robot that hits the ball with a consistent impact force. The distances this type of ball travels in this test are normally distributed with a mean of 195 meters and a standard deviation of 5 meters. Suppose that quality control experts regularly collect random samples of 25 distance measurements and calculate the sample mean distance in each sample. Assume that the measurements in each sample are independent.
What will be the shape of the sampling distribution of the sample mean distance?
Skewed to the left
(Choice A)
A
Skewed to the left

(Choice B)
B
Skewed to the right

(Choice C)
C
Approximately normal

(Choice D)
D
Unknown; we don't have enough information to determine the shape

Answers

Answer 1

Answer:

C Approximately normal

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

Sampling distribution of the sample mean is approximately normal, by the Central Limit Theorem. The correct answer is given by Choice C.


Related Questions

NEED HELP! WILL GIVE BRAINLIEST! <3

Answers

Answer:

See explanation

Step-by-step explanation:

1) 5/10

2) 3/10

3) 2/10

4) 7/10

Answer:

1) [tex]\frac{5}{10} = \frac{1}{2}[/tex]

2) [tex]\frac{3}{10}[/tex]

3) [tex]\frac{2}{10} = \frac{1}{5}[/tex]

4) [tex]\frac{7}{10}[/tex]

Step-by-step explanation:

Probability = [tex]\frac{number of favourable outcomes}{total number of favourable outcomes}[/tex]

gray marbles = 5

white marbles = 3

black marbles = 2

total number of marbles = 10

would this be a cone??

Answers

no that would NOT be a cone

That would not be a cone.

Volume of a cone is 48 pi and have a radius of 8 what is the height

Answers

Answer:

Step-by-step explanation:

the answer is in the pic open it

hope it help mark me as a brill please

7
T
S
U
The triangle STU has been drawn on to a centimetre grid.
Calculate the area of triangle STU *
(2 Points)
Enter your answer

Answers

Answer:

12 square units

Step-by-step explanation:

The area of a given figure is the measure of space occupied by the figure on a 2 dimensional plane.

Area of a triangle = [tex]\frac{1}{2}[/tex] x base x height

From the given grid, the following can be observed for triangle STU.

base SU = 6 units

height = 4 units

Thus,

area of triangle STU =  [tex]\frac{1}{2}[/tex] x base x height

                                  =  [tex]\frac{1}{2}[/tex] x 6 x 4

                                  = 3 x 4

area of triangle STU = 12 square units

The required area of triangle STU is 12 square units.

Find The Value of X in the picture I showed. ​

Answers

Answer:

x = 4

Step-by-step explanation:

You can do this by realizing that since JG is the diameter then 6 + 11x + 22x - 1 must equal 180 minus 43 because that is the measure of HG. So then just set it up like an algebra equation.

137 = 6 + 11x + 22x - 1

137 = 33x + 5

132 = 33x

x = 4

in town 35% of 15 000 voters did not cast vote in election How many people cast their votes?​

Answers

Let p = number of people that cast their vote.

p = 0.35(15, 000)

p = 5,250

Five friends are sharing 7 cups of lemonade. If they share the lemonade equally, how many cups will each friend get?

Answers

Answer:

1.4

Step-by-step explanation:

7 ÷ 5 = 1.4 or 7/5 as a fraction

What is the value of the expression 12.25 + (-17.75)?

Answers

Answer:

-5.5

Step-by-step explanation:

...........................................................

Answers

Answer:

Top is A bottom is B. ........

HELP!! i will vote brainlest answer

Answers

Answer:

D. 18

Step-by-step explanation:

The polygon given is a 5-sided polygon (pentagon). Sum of all interior angles of a 5-sided polygon = (n - 2) * 180°

= (5 - 2) * 180 = 540°

Therefore:

95° + (7x - 4)° + (3x + 23)° + (9x - 6)° + 90° = 540°

Solve for x

95 + 7x - 4 + 3x + 23 + 9x - 6 + 90 = 540

Add like terms

198 + 19x = 540

19x = 540 - 198

19x = 342

x = 342/19

x = 18

There are 160 adults and 285 children at a zoo. The zoo makes a total of $5,875 from the entrance fees, and the cost of an adult and a child to attend is $25, how much does it cost each for a parent and a child? Let a represent an adult. Let c represent a child. Enter a system of equations to represent the situation, then solve the system. The system of equations is . The adult tickets cost $ and the child tickets cost $ .

Answers

Answer:

cbzxnphfgzhohdxhlkvcdtbcdil to m kl nhi aaugi

25 POINTS!!!!!!!!!!!
I WILL GIVE BRAINLEIST

I need the answers for
15.
16.
17

Answers

15. Recessive alleles become non-dominant because we know a capital letter is dominant rather than a lower case
16. Genotypes- PP & PP
17. All alleles(all have at least one capital letter)

What is the value of a?

Answers

It should be the second awnser

Answer:

your answer will be option B

Step-by-step explanation:

[tex]\frac{10}{12} =\frac{a}{38} \\\\a=\frac{(10) (38)}{12} \\\\=31.6[/tex]

The picture shows the top view of a piece of glass. A rectangular piece of glass is shown. The length is measured as 4 feet. The width is measured as 2 and one-half feet. Which equations can be used to find the area, in square feet, of the piece of glass? Select all that apply. A. A = 2 1 2 × 4 B. A = 5 2 + 4 C. A = ( 2 1 2 + 2 1 2 ) + ( 4 + 4 ) D. A = 5 2 × 4 E. A = ( 2 × 2 1 2 ) + ( 2 × 4 ) F. A = 2 1 2 + 4 answer and u get brainlyest

Answers

Answer:

d. and e.

Step-by-step explanation:

i did the test

Option A and Option D represents the equation of area of rectangular piece which are A=4×[tex]2\frac{1}{2}[/tex] and A=4×5/2.

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given that A rectangular piece of glass is shown.

The length is measured as 4 feet.

The width is measured as 2 and one-half feet.

We have to find the  equations can be used to find the area of the piece of glass.

Area=Length×width

Area=4 feet × 2 and one-half feet

=4×[tex]2\frac{1}{2}[/tex]

=4×5/2

Hence, Option A and Option D represents the equation of area of rectangular piece which are A=4×[tex]2\frac{1}{2}[/tex] and A=4×5/2.

To learn more on Area of Rectangle click:

https://brainly.com/question/20693059

#SPJ2

Find the value of "X."
Pls show all your work

Answers

Answer:

x=22.25

Step-by-step explanation:

6x+2x+2=180

8x=178

x=22.25

Chris bought 2 1/4 yards of fabric. He used 2/3 of the fabric to make a blanket.
How many yards of fabric did Chris use to make the blanket?

Answers

Answer:

1000 yard to make the blanket. I dony kikj

Answer:

took the test

Step-by-step explanation:

he used 1 1/4 yards of fabric

A triangle has vertices X(2, 1), Y(5, 4), and Z(5, 1). What is the area of the triangle?

Answers

Answer:

Step-by-step explanation:

They gave you an easy triangle. You can tell by the coordinates that X and Z are horizontally aligned, and Y and Z are vertically aligned, so Z is a right angle.

Area = 0.5(XZ)(YZ) = 0.5(3)(3) = 4.5 square units.

What is the slope of JK? J=(2, 4), K(6, 1), L(2, -2), M(-2, 1)

Answers

Answer:

-3/4

Step-by-step explanation:

First, we find the change in x & change in y.

Change in x: 6 - 2 = 4

Change in y: 1 - 4 = -3

Since slope is rise (change in y) over run (change in x),

-3/4 is the slope.

Mary and Lewis each open a savings account at the same time. Mary invests $3,700 in an account yielding 3.2% simple interest, and Lewis invests $3,000 in an account yielding 5.9% simple interest. After fifteen years, who has the greater total amount of money, and how much greater is it?
a.
Lewis has $879 more than Mary.
b.
Lewis has $179 more than Mary.
c.
Mary has $776 more than Lewis.
d.
Mary has $345 more than Lewis.

Answers

Answer:

lewis has $179 more than mary

Lewis has the greater total amount of money than Mary by $879

Given the following data:

Mary's principal = $3,700Mary's interest = 3.2% = 0.032Lewis's principal = $3,000Lewis's interest = 5.9% = 0.059Time = 15 years.

To determine who has the greater total amount of money and by how much greater is it:

The formula for simple interest.

Mathematically, simple interest is given by the formula:

[tex]S.I = PRT[/tex]

Where:

S.I is the simple interest.P is the principal or starting amount.R is the interest rate.T is the time measured in years.

For Mary:

[tex]S.I = 3700 \times 0.032 \times 15[/tex]

S.I = $1,776

For Lewis:

[tex]S.I = 3000 \times 0.059 \times 15[/tex]

S.I = $2,655

Therefore, Lewis has the greater total amount of money.

Next, we would find the difference in their simple interest:

[tex]Difference = 2655-1776[/tex]

Difference = $879

Read more on simple interest here: https://brainly.com/question/24341207

Find the mode(s), if any, of the following numbers: 22, 54, 22, 36, 17, 22, 17, 18

Answers

22 since it occurs the most.

Laura has 78 apple trees in her cider farm, with a mean of 460 apples per tree. She has had to get a tree cut down, and after that, the mean of apples per tree became 462 . How many apples were there on the tree that Laura had to cut down?

Answers

Answer:

The tree that Laura had to cut had 306 apples.

Step-by-step explanation:

Given that Laura has 78 apple trees in her cider farm, with a mean of 460 apples per tree, but then she has had to get a tree cut down, and after that, the mean of apples per tree became 462, to determine how many apples were there on the tree that Laura had to cut down, the following calculation must be performed:

(78 x 460) - (77 x 462) = X

35.880 - 35.574 = X

306 = X

Thus, the tree that Laura had to cut had 306 apples.

Three friends go to book fair Alan spends $2.60 Maria spend three times as much as Allen Aiko spends $3.95 less than Maria how much does Aiko spend

Answers

Answer:

Aiko spends $3.85

Step-by-step explanation:

2.60 times 3 - 3.95 = 3.85

Answer:

3.85

Step-by-step explanation:

2.60x3=7.80 7.80-3.95=3.85

Given AFGH ~ ALMN, select all the statements that are true.

Answers

Answer:

1st, 3rd, and 4th options are true

Step-by-step explanation:

the binomial expansion of (x-2y)^3 is__
PLEASE HELP


A) x^3+3x^2y+3xy^2+y^3

B) x^3-3x^2y+3xy^2-y^3

C) 2^2(x^3-3x^2y+3xy^2-y^3)

D) x^3-6x^2y+12xy^2-8y^2

Answers

The answer is x^3-6x^2y+12xy^2-8y^2 (D)

The answer is D) x^3-6x^2y+12xy^2-8y^2

Jordan typed 40 words a minute and he spends 1 minute typing a ending how many minute did it take him to write a sentence
i also heard that you can get points for answering questions.​

Answers

Answer:

02920

Step-by-step explanation:

92823

Solve the inequality:

8+4x≥12

Select one:

x≤1

x≥5

x≥1

x≤5

Answers

X is less than or equal to 1

Answer:

x≥1

Step-by-step explanation:

will give the BRAINLIEST pls helpppppp​

Answers

Answer:

pretty sure youre right kiddo

mathhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

interior

Step-by-step explanation:

exterior would be located outside the triangle.(10)

vertex is the point of the connected lines (12)

Fill in the blanks for the expression

Answers

Answer:

Step-by-step explanation:

80

Keiko, Dale, and Tony sent a total of 95 text messages during the weekend. Dale sent 7 fewer messages than Kelko. Tony sent 4 times as many messages as
Keiko. How many messages did they each send?

Answers

Answer:

Keiko sent 17 messages, Dale sent 10 messages, and Tony sent 68 messages

Step-by-step explanation:

Let x represent the number of messages that Keiko sent.

Since Dale sent 7 less than Keiko, his number can be represented by x - 7

Since Tony sent 4 times as many as Keiko, his number can be represented by 4x

Using these variables, create an equation:

(x) + (x - 7) + (4x) = 95

Add like terms and solve for x:

6x - 7 = 95

6x = 102

x = 17

So, Keiko sent 17 messages.

Subtract 7 from this to find how many Dale sent:

17 - 7

= 10

Multiply it by 4 to find how many Tony sent:

17(4)

= 68

So, Keiko sent 17 messages, Dale sent 10 messages, and Tony sent 68 messages

Other Questions
Write in Spanish1. birthday2. painting Tim used 4 1/2 cups of oranges,3 1/2 cups of apples,and 5 1/2 cups of pears in a fruit salad.How many cups of fruit did Tim use altogether? Which phrase matches the algebraic expression?12(h)(b)A. One-half plus the product of h and bB. One-half minus the product of h and bC. One-half of the product of h and bD. The quotient of h and b Which statement describes the situation for African Americans living in the North during the Antebellum Era?A) Since slavery was illegal, African Americans were treated as equal to whites.B) African American men, but not women, were granted equal status to white citizens.C) African Americans were technically free but were considered to have an inferior legal status.D) Since slavery was legal in the North, many African Americans worked as slaves in factories. What is the area of this figure? wil someone please answer Please help!!! Will give brainliest!! DeminorThe picture shows on ant infected with the fungus Cordyceps. An infected ant will move to an area that is favorablefor the growth of the fungus. The fungus will remain there while its mycelia replace the ant's tissues, causing deathand eventually releasing more spores that can Infect other ants. Which of the following best describes the solution of the system of equations below? Which Venn diagram shows the correct relationship among different sets of numbers and the correct placement of -648? plz help me i need this if anyone plz help 10 points for helping plz After eating dinner at a restaurant, Brent's bill before tax is $24.00. The sales tax rate is 8%. Brent decides to leave a 30% tip for the waiter based on the pre-tax amount. How much money will Brent pay total, including tax and the tip? how did a Streamboat helped in three ways? Which of the following did the Athens relyon the most economically?A. stealingB. tradeC. farminD. wars HELP as fast as possible plzz-3.5u=-14 Select the correct answer. East Asia is home to approximately what percentage of the world's population? OA. 15% OB. 50% OC. 25% OD. 30% On a coordinate plane, pre-image rectangle has points (0, 0), (6, 0), (6, negative 3), (0, negative 3. The image has points (0, 0), (2, 0), (2, negative 1), (0, negative 1).Compare the ordered pairs of the pre-image to the image to answer these questions.Is the dilation an enlargement or reduction?The point of dilation is about what coordinate?What is the scale factor? I need help plzzz its fill in the blank and each word can be only used once -4x + 21 > -3 What could x be?? Write 3+5/10+6/100+8/1000 as a decimal