The owner of a local golf course wanted to determine the average age (in years) of the golfers that played on the course. In a random sample of 20 golfers that visited his course, the sample mean was 41.6 years old and the standard deviation was 7.81 years. Using this information, the owner calculated the confidence interval of (38.6, 44.6) with a confidence level of 90% for the average age. Which of the following is an appropriate interpretation of this confidence interval?

a. We are certain that 90% of the average ages of all golfers will be between 38.6 and 44.6 years old.
b. We are 90% confident that the average age of the golfers surveyed is between 38.6 and 44.6 years old.
c. We cannot determine the proper interpretation of this interval.
d. We are 90% confident that the proportion of the ages of all golfers is between 38.6 and 44.6 years old.
e. We are 90% confident that the average age of all golfers that play on the golf course is between 38.6 and 44.6 years old.

Answers

Answer 1

Answer:

e. We are 90% confident that the average age of all golfers that play on the golf course is between 38.6 and 44.6 years old.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

90% confidence interval for the average age of golfers in the course is of (38.6, 44.6). This means that we are 90% sure that the true average age of all golfers in the course is between these two values, that is, the correct answer is given by option e.


Related Questions

Find X so that a parallel to b​

Answers

Step-by-step explanation:

4x+11+8x+1=180 (the two angles given is supplementary angles)

11x+12= 180

11x=168

x=168/11

x=15.27

please give brainly if it helps

Answer:

x = 14

Step-by-step explanation:

Same side interior angles are supplementary.

Therefore ,

              ( 4x + 11)° + ( 8x + 1 )° = 180 °

                  4x + 11 + 8x + 1 = 180

                       12x + 12 = 180

                        12x = 180 - 12

                             12x = 168

                                 x = 14

HII CAN SOMEONE PLEASE HELP ME, this is my final exam ... Which equation describes the line with slope 4 that contains the point (7,2)?
A. y + 2 = 4(x + 7)
B. y - 7 = 4(x - 2)
C. y+ 7 = 4(x + 2)
O D. y - 2 = 4(x - 7)

Answers

Answer:

I believe it is D

Step-by-step explanation:

I used desmos

Answer:

D

Step-by-step explanation:

Due to the coordinate being positive in both x and y, then you know by putting the numbers in the equation that they will bot subtract from their variable

3.
Use the concept of a series to sum up 0.315+0.000315+0.000000315+.... Give your final answer
in reduced fraction form. Note: There are several methods to prove this fact. I am specifically asking
you to use a series.

Answers

Dividing each term in the given series by 0.315 reveals a simple geometric sum,

0.315 (1 + 1/1,000 + 1/1,000,000 + …)

or

0.315 (1 + 1/10³ + 1/10⁶ + …)

or

[tex]\displaystyle 0.315 \sum_{n=0}^\infty \frac1{10^{3n}} = 0.315 \sum_{n=0}^\infty \frac1{1000^n}[/tex]

i.e. a geometric sum with a common ratio of 1/1,000. I'm not sure what your instructor expects exactly, but you may already know that

[tex]\displaystyle a\sum_{n=0}^\infty r^n = \frac a{1-r}[/tex]

if |r | < 1. This is the case here, so

0.315 (1 + 1/1,000 + 1/1,000,000 + …) = 0.315 / (1 - 1/1,000)

… = (315/1000) / (999/1000)

… = 315/999

… = 35/111

In a class of 26 students, 14 have a cat and 7 have a dog. There are 5
students who have a cat and a dog. What is the probability that a
student chosen randomly from the class does not have a dog?

Answers

Answer:

9/26

Step-by-step explanation:

Im sorry, but probablity is quite hard to explain, but I'll try my best. So what you know is that there are a total of 26 students right? Out of these 25, 14 have at least a cat, and 7 have at least a dog. But 5 of them have a cat and a dog. This means that 14-5, and 7-5, are for only a cat and only a dog respectively. So, people with only a cat don't have a dog, meaning that 14-5, which is 9 people only have a cat. Therefore, out of the 25 people, only 9 don't have a dog, making the probablitly 9/25.

:)))))))))))))))))))))))))))))

Plz help me solve this

Answers

X=-3 is your answer

simplify the equation, cancel equal terms, move constant to the right, calculate, divide both sides !!!!

Answer: x=-3

Step-by-step explanation:

First let's eliminate the square root

[tex](\sqrt{x^2-5x+2})^2=(\sqrt{x^2+17})^2\\x^2-5x+2=x^2+17[/tex]

Now subtract [tex]x^2\\[/tex] from both sides

[tex]x^2-5x+2-x^2=x^2+17-x^2\\-5x+2=17[/tex]

Subtract 2 from both sides

[tex]-5x+2-2=17-2\\-5x=15[/tex]

Finally divide both sides by -5

[tex]\frac{-5x}{-5} =\frac{15}{-5} \\x=-3[/tex]

The table shows the approximate distances between some of the objects in our solar system.
Distance
Earth to the moon
12^5 miles
Sun to Mercury
12^7 miles
12^8 miles
Sun to Jupiter
1. How many times greater is the distance from the Sun to Jupiter than the distance from the Sun to
Mercury?

Answers

Answer:

12 times

Step-by-step explanation:

Earth-Moon (EM) = 12⁵ miles

Sun-Mercury (SM) = 12⁷ miles

Sun-Jupiter (SJ) = 12⁸ miles

just FYI, these numbers are only a rough simplification for this example. the real distance are quite a bit different.

so, SJ/SM = 12⁸ / 12⁷ = 12¹ = 12

=> Jupiter is 12 times farther away from the Sun than Mercury.

12 times greater is the distance from the Sun to Jupiter than the distance from the Sun to Mercury.

What is distance?

Distance is the total movement of an object without any regard to direction.

Given:

Earth-Moon = 12⁵ miles

Sun-Mercury = 12⁷ miles

Sun-Jupiter = 12⁸ miles

so,

Sun-Jupiter/Sun-Mercury

= 12⁸ / 12⁷

= 12¹

= 12

Hence, Jupiter is 12 times farther away from the Sun than Mercury.

Learn more distance here:

https://brainly.com/question/15172156

#SPJ2

plssss don't rude mee plsss

plss help me in my testtt

Answers

123344849&965588992929*weekusgdgendo

Match each three dimensional figure to its volume based on the given dimensions.

Answers

please attach a diagram

need help pleaseeeee

Answers

The answer is C. Take one of the corners and count up 4 spaces from it, and then count 6 spaces left from it.

-2 (x + 3z) + 4x - 3y + 2z​

Answers

Answer:

-2 (x + 3z) + 4x - 3y + 2z​

-2x-6x+4x-3y+2z

2x-4z-3y

hope it helps...

have a nice day!

Answer:

please answer is then you thanks me

Step-by-step explanation:

-2(x + 3z) + 4x - 3y +2z

-2x -6z + 4x - 3y + 2z

=2x - 4z - 3y

The radius of the circle whose equation is (x - 3)2 + (y + 1)2 = 16 is: 4

Answers

Answer: x=10-y

Step-by-step explanation:

A club is choosing 2 members to serve on a committee. The club has nominated 3 women and 3 men. Based on chance alone, what is the probability that one woman and one man will be chosen to be on the committee

Answers

Answer: 0.6

Step-by-step explanation:

Given

There are 3 women and 3 men available to form a 2 member committee.

No of ways, a man can be chosen are [tex]3[/tex]

Similarly, no of ways a woman can be chosen are 3

Therefore, probability of choosing 2 members i.e. 1 man and 1 women is

[tex]\Rightarrow P=\dfrac{3}{6}\times \dfrac{3}{5}[/tex]

If the order matter, then

[tex]\Rightarrow P=2\times \dfrac{3\times 3}{6\times 5}\\\\\Rightarrow P=0.6[/tex]

The probability that 1 woman and 1 man will be chosen is "0.6".

According to the question, the club has nominated:

Number of women = 3 Number of men = 3

Now,

→ The number of ways to select two persons from 6 will be:

= [tex]\binom{6}{2}[/tex]

hence,

The probability that one woman and one man will be chosen will be:

→ [tex]P(1 \ women \ and \ 1 \ women) = \frac{\binom{3}{1} \binom{3}{1}}{\binom{6}{2}}[/tex]

                                              [tex]= 3\times \frac{3}{15}[/tex]

                                              [tex]= \frac{9}{15}[/tex]

                                              [tex]= 0.6[/tex]

Thus the above answer is right.

Learn more:

https://brainly.com/question/13419138

whatcha of the following is the quotient of

Answers

Answer:

(2y+3)

Step-by-step explanation:


Helpqquuuiiiiccckkkkk

Answers

Here's some help. Hope this works.

Write an equivalent expression for: 5(5x - 9) *

Answers

Answer:

25x - 45

Step-by-step explanation:

Answer:

25x - 45

Step-by-step explanation:

5 ( 5x - 9)

distributing 5 through parantheses

5 × 5x - 5 × 925x - 45

5. In the figure Find X (In the picture) (giving points to best answer/brainlest)​

Answers

Answer:

x=93°

Step-by-step explanation:

the lower left interior angle of the triangle is 39° because it is an alternate-interior angle to the one marked as 39°

the lower right interior angle is 180-132, which is 87°

therefore, x=93° because the three angles must add to 180°

Please give me the right answer me going onto my sophomore year depends on this

Answers

Answer: 5.5. if you divide you will clearly see it is 5.5 so D

Step-by-step explanation:

A coin is flipped 8 times. Find the probability of the event:

exactly 6 heads

Answers

Answer:

P(E)=56256=732.  Step-by-step explanation:

Thus, the probability of getting exactly 3 heads when a coin is flipped 8 times in a row


[tex]4 \sqrt{(3x}^{3} [/tex]
write in exponential form​

Answers

Answer:

[tex]4(3x)^{\frac{3}{2} }[/tex]

Step-by-step explanation:

4(3x) 3/2
hope that helps

PLEASE HELP!!!!!




I have a time limit

Answers

Answer:

Step-by-step explanation:

angle 1 is a central angle because the vertex is at the center of the circle and the central angles have same measure as the arc it inscribes, so

arc AB =30 °

Answer:

60

Step-by-step explanation:

Which points are on the graph of the function rule f(x) = 10 - 4x

Answers

It’s the second one
Anwser: The second!

Explanation:

Find the maximum or minimum value of y = 3x² + 7x + 9 by completing the squares state the value of x at which the function is maximum or minimum.​

Answers

Answer:

The minimum is 59/12

Step-by-step explanation:

you should calculate the -b/2a = -7/6

you should put -7/6 in the x variable

How many-foot pieces of wood
can you cut from a board that is
6 feet long?

Answers

Answer:

6

Step-by-step explanation:

Foot long = 1 foot

6 / 1 = 6 foot pieces

You could get 6 pieces of wood

If the entire board is 6 feet long and you wanted to cut it into 1 foot intervals, you would do 6/1 and get 6

Which inequality represents all numbers x on a number line that are farther from −8 than from −4?

Answers

Answer:

x - 8>-4-x

Step-by-step explanation:

Looking at x - 8>-4-x

Collect the like terms;

x+x > -4 + 8

2x < 4

x > 4/2

x < 2

Since the values of x are greater than 2,this shows that they are positive values and will be farther from -8 than -4

Can you figure out what the area of this shape is?

Answers

Answer:

22 units

Step-by-step explanation:

split it into 3 sections, there are two sections of 2x3 and one of 1x10, together they make 22 units

use the following picture to classify the following statements as true or false

Answers

True:

BC ≈ EF

BAC ≈ EDF

ABC ≈ DEF by ASA

AC ≈ DF


Not True:

ABC ≈ FDE

ABC ≈ DEF by AAS

Find the vertex of the graphed function.
16= \x - 4 +3
2
The vertex is at

Answers

Answer:

16=/-4+3+2

16=/-1jhcdf why

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Historically, the average diameter of the holes drilled has been 0.25 cm and the average range has been 0.10 cm. Samples of size 4 will be collected. For the R-chart, what is the value of upper control limit

Answers

Solution :

Given the average range of the holes drilled = 0.10 cm

The average diameter of the holes drilled = 0.25 cm

The sample size = 4

For the sample size of 4, the factor for control limit for the range ([tex]D_4[/tex]) = 2.28  (From the table of constants for X-bar and R-chart)

The upper control limit for the R-chart = R-bar x [tex]D_4[/tex]

                                                                = 0.10 x 2.28

                                                                = 0.228

Therefore, the answer is greater than 0.202 but less than or equal to 0.302

I need help asp please!!

Answers

The answer is r have a good day

Help me please. Plzzzz.

Answers

16 is going to be right
I think 16 is correct
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