A local charity organization held an event to celebrate its work for the past five years. A local newspaper reporter who attended the event asked 75 of the attendees about their contributions. The reporter computed the mean amount of money raised by the 75 attendees to be $18,500. In an article published by the local newspaper, the reporter was quoted as stating, "The members of the charity organization were successful in raising money for their cause. Last year, they raised a mean amount of $18,500!"

Part A: What is a statistical advantage of using the median of the reported amounts, rather than the mean, as the estimate of the typical amount raised? (4 points)

Part B: The newspaper editor felt the individuals who attended the event may be different from the organization as a whole. A more detailed survey of the members was planned to determine a better estimate of the amount of money raised. The staff developed two methods based on the available funds to carry out the survey.

Method 1: Send out an e-mail to all 10,530 members of the organization and ask them to complete an online form. The staff estimates at least 2,000 members will respond.

Method 2: Select a simple random sample of members of the organization and contact the selected members directly by phone. Follow up to ensure all responses are obtained. Because method 2 requires more time than method 1, the staff estimates that only 1,000 members of the organization can be contacted using method 2.

Which of the two methods would you select for estimating the average yearly amount raised by all 10,530 members of the charity organization? Explain your reasoning by comparing the two methods and by describing the effect of each method on the estimate.

Answers

Answer 1

Answer:

Part A. The statistical advantage of using the median is that the median is less effected by skewed data and outliers.

Part B. I would select method two because method one has a non-response bias and the sample individuals are not selected at random.

Step-by-step explanation:

Higher values pull averages up where medians just select the middle value and aren't necessarily pulled by outliers.

Non response biases happen when the individuals chosen choose not to answer or can volunteer to answer.

Sending out emails to everyone at the org is not choosing them at random.

Answer 2

A statistical advantage of using the median instead of the mean as the estimate of the typical amount raised is that the median is less sensitive to extreme values or outliers.

Method 1 would be the better choice for estimating the average yearly amount raised by all 10,530 members of the charity organization

What is a median?

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

Part A:

A statistical advantage of using the median instead of the mean as the estimate of the typical amount raised is that the median is less sensitive to extreme values or outliers.

In this case,

If there were a few attendees who contributed a very large amount of money, it would increase the mean and make it an overestimate of the typical amount raised.

However, the median would not be affected by the outliers, and it would give a better estimate of the typical amount raised by the majority of the attendees.

Part B:

Method 1 would be a better choice for estimating the average yearly amount raised by all 10,530 members of the charity organization.

This is because it would have a larger sample size than method 2, which would make the estimate more precise and reduce the sampling error.

Additionally,

Method 1 would include a broader range of members, including those who may not have attended the event or who may have contributed in other ways besides donating money.

Method 2, on the other hand, would have a smaller sample size and would only include a random subset of the organization's members, which could lead to sampling bias if the selected members are not representative of the larger population.

Furthermore, the follow-up required by method 2 would make it more time-consuming and potentially less cost-effective than method 1.

Thus,

Method 1 would be the better choice for estimating the average yearly amount raised by all 10,530 members of the charity organization because it would have a larger sample size, include a broader range of members, and be more cost-effective than method 2.

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Related Questions

Can someone please help me with this?

Answers

Answer:

Step-by-step explanation:

find the proportion and solve for the volume.

5. Jack and Jill use rain gauges that are the same size and shape to measure rain on top of a hill. Jack
uses a rain gauge marked in fourths of an inch. Jill's gauge measures rain in eighths of an inch. On
Thursday, Jack's gauge measured inches of rain. Jill and Jack both had the same amount of water,
so what was the reading on Jill's gauge on Thursday? Draw a number line and write a sentence to
explain your thinking.

Answers

Answer:

List the multiples

1/4,2/4,3/4,4/4

1/8,2/8,3/8,4/8,5/8,6/8,7/8,8/8

1/4=2/8

2/4=4/8

4/4=8/8

Those numbers are the common fractions so they would be the only fractions that both Jack and Jill could get.

Step-by-step explanation:

Please can people help??!!
Photo below

Answers

i think this is the method for solving it

If (A:20:4:16) is a proportion the find out the value of A fastly​

Answers

Answer: A = 5

Step-by-step explanation:

I'll rewrite this as fractions.

[tex]\frac{A}{20}=\frac{4}{16}[/tex]

Solve for A,

[tex]A=\frac{20*4}{16}\\ A=\frac{80}{16}[/tex]

[tex]A=5[/tex]

Which of the following is true of the values of x and y in the diagram below? A unit circle is shown. A radius with length 1 forms angle theta = StartFraction pi Over 4 EndFraction. The radius intersects point (x, y) on the unit circle. y < x y > x y + x = 1 StartFraction y Over x EndFraction = 1

Answers

Answer:

y/x = 1 got it right on edg

Step-by-step explanation:

Answer:

y/x = 1  on E2020

Step-by-step explanation:

Have a Great Day :)

Right triangle RST is shown below with the dimensions given in feet
(ft)
Which is closest to the measure of ZR?
Select one
15.1
15.7
74.3
74.9

Answers

Answer:

As the triangle is right angled ,

sinR = 17/63

Angle R = 15.7⁰

The closest value of the measure of ∠R is,

⇒ ∠R = 15.7°

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Right triangle RST is shown below with the dimensions given in feet.

Now, By trigonometric formula;

tan x = Opposite / Adjacent

Here, Opposite side of angle R = 17 ft

And, Adjacent side = 63 ft

Hence, We get;

tan x = Opposite / Adjacent

tan R = 17 / 63

tan R = 1/9

R = 15.7°

Thus, The closest value of the measure of ∠R is,

⇒ ∠R = 15.7°

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pls help it will mean alot!!
due rn!!

Answers

Answer:

f(x) = 4^x

f(4) = 4^4 = 256

Hope this helps!

:)

the answer is 256 but i am not sure

hope this helps and be safe :)

Formula for a area of a circle

Answers

Answer:

A=(pie) r^2

Step-by-step explanation:

A = Area

(pie) = 3.14

r^2 = (r is the radius)

Answer:

pi r^2

Step-by-step explanation:

That is your answer

how to make a dot plot

Answers

Answer:

draw a a big L and put your numbers

Draw a line horizontally and make values and put dots

A necklace found at a pawn shop is 192 grams and has a volume of 19.5 cubic centimetres. What metal is the necklace made of?

Answers

Answer:

Bronze

Step-by-step explanation:

To know the metal used to produce necklace, we must calculate the density of the necklace. This is illustrated below below:

Mass of necklace = 192g

Volume = 19.5cm^3

Density =...?

Density of a substance is simply defined as the mass of the substance per unit volume.

Density = Mass /volume

Density = 192g / 19.5cm^3

Density = 9.85g/cm^3

Now comparing the density of the necklace with the density of various metals in the table, we can see that the density of the necklace matches that of bronze.

Therefore, the necklace is made of bronze.

what is 5 + 5 /2 - 4 x 10

Answers

Step-by-step explanation:

use bodmas

start with multiplication

-4*10 = -40

5+5/2 - 40

addition next

5 + 5/2 = 7.5

7.5 - 40 = -32.5

Help me please help me thank you

Answers

Answer: 110, 35, 70, G, J, F, E, B, A, H, C, D, I

Step-by-step explanation:

8. For number 8, you will be using the exterior angle theorem. The exterior angle theorem states that the exterior angle equals the two angles inside the given triangle. Since we have 50 and 60, you will add 50 + 60 to get 110.

9. In this problem, you shall use the vertical angle theorem. The vertical angle theorem is simply that any angles vertical from one another are congruent. So a will be also 35 degrees.

10. This is an image depicting two lines cut by a transversal, creating multiple congruent angles. With this, you will be using the alternate interior angle theorem. Alternate interior angles are angles on different sides of the transversal but inside both of the lines that were cut into, as shown above. So,  b will also equal 70 degrees.

Part B:

1. G

2. J

3. F

4. E

5. B

6. A

7. H

8. C

9. D

10. I

Dghgfty is my morning time for

Is the percent increase for 50 to 70 = to the percent decrease from 70 to 50

Answers

Answer:

no it is not equal.

Step-by-step explanation:

when you calculate the percentages, you will find  that the increase has 40% while the decrease has about 28.6%

Answer:

No. The amounts of change are the same, but the original amounts are different. The ratio for the percent increase from 50 to 70 is 20/50, or 40%. The ratio for the percent decrease from 70 to 50 is 20/70, or about 29%.

Step-by-step explanation:

SAMPLE RESOND

The area of a rectangle is given by A(x) = x2 + 5x with x being the height and x + 5 being the base. If the area is 14, what is the only viable solution for the height? Why are there not two solutions?​

Answers

Answer:

See below.

Step-by-step explanation:

A(x) = x^2 + 5x

A(x) = x^2 + 5x = 14

x^2 + 5x - 14 = 0

(x + 7)(x - 2) = 0

x + 7 = 0  or  x - 2 = 7

x = -7 or x = 2

x is the height of a rectangle.

The only viable solution is x = 2 because the height of a rectangle cannot be a negative number such as -7.

The only viable solution for the height is x= 2, because height cannot be a negative value.

What  is Rectangle?

A rectangle is a quadrilateral with four right angles.

What is Area?

Area is the quantity that expresses the extent of a region on the plane or on a curved surface.

What is Quadratic equation?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2} +bx+c=0[/tex]

Given,

Area of the rectangle = [tex]x^{2} +5x[/tex] = 14

Then,

[tex]x^{2} +5x-14=0\\(x+7)(x-2)=0[/tex]

Therefore x = -7 and 2

But the Height cannot be negative therefore x = 2

Hence, only viable solution for the height is x= 2, because height cannot be a negative value.

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Exponential Growth and Decay The expressions below represent either exponential growth or exponential decay. Check all the expressions that represent exponential decay. 5x 3(0.75)2t 35(2.4)x 5000(1.04)3t 0.05x 500(0.005)t

Answers

Answer:

First one: 5x3(0.75)2t

and fourth one: 0.05x500(0.005)t

Step-by-step explanation:

In order to have an exponencial decay, the rate of the exponencial function needs to be lesser than 1.

The rate is the value between parenthesis, so in the first equation, the rate is 0.75, so this is an exponencial decay.

The second equation has rate = 2.4, so this is not an exponencial decay.

The third equation has rate = 1.04, so this is not an exponencial decay.

The fourth equation has rate = 0.005, so this is an exponencial decay.

Answer:

It's A,C,F

Step-by-step explanation:

I answered it :) and got it right.

PLEASE HELP!
Evaluate the expression 5(7 − 4)2 ÷ 3 + 11.

Answers

Answer:

26

Step-by-step explanation:

5(7 − 4)^2 ÷ 3 + 11.

PEMDAS says parentheses first

5(3)^2 ÷ 3 + 11.

Then exponents

5 (9)÷ 3 + 11.

Multiply and divide from left to right

45 ÷ 3 + 11

15 +11

26

35-20x2divide3+11
15x2
30divide3=10
10+11=21

Solve for 2.
Write the smaller solution first, and the larger solution second.
(3x – 6)(-x + 3) = 0
smaller x =
larger x =

Answers

Answer:

(3x – 6)(-x + 3) = 0

=> 3x - 6 = 0 => x = 6/3 = 2

and

=> -x + 3 = 0 => x = 3

Hope this helps!

:)

What is the answer to this

Answers

Answer:

im pretty sure it's c

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

Find the volume of this figure.
12 m
6 m
6m​

Answers

Answer:

432

Step-by-step explanation:

To get volume you need to multiply all of the numbers together (Length, height, and width). You need to multiply 6 and 6 (You get 36) and multply the answer by 12 to get 432.

Hope this helps!

(Also can I get Brainliest? Please?)

36 + 1.80 + 2.16 I'm stuck ​

Answers

Answer:

39.96 should be the right answer

Answer: 39.96

Step-by-step explanation:

36+1.80=37.80

Then you add 2.16

37.80+2.16=39.96

I NEED HELP PLZ I FORGOT HOW TO DO THIS PLZ EXPLAIN HOW U GOT UR ANSWER HELPP

Answers

Answer:

5

Step-by-step explanation:

Using the formula of a trapezoid, we can solve this!

Formula is A=1/2(b1+b2)h.

A=1/2(2+8)1

A=1/2(10)1

A=1/2(10)

The area would be 5 cubic in2.

Please tell me if im wrong! im just a student .m.

Answer:

5 units²

Step-by-step explanation:

a for a trapezoid = [tex]\frac{a+b}{2} *h[/tex]

[tex]\frac{8+2}{2} *1[/tex] = [tex]\frac{10}{2} * 1[/tex] = 5*1 = 5

The area is 5 units²

The temperature during a winter day was less than 8 degrees Fahrenheit. Digby wants to write an any quality for the temperature during the winter day. What constant should Digby use in the inequality?

Answers

Answer:

8

Step-by-step explanation:

y < mx+c

here  y will be the temperature on any particular winter day, x will be the variable on whixh temperature is dependent  and m will be the gradient.

The temperature must always be less than 8 so c will be 8.

y < 8

8 should be the maximum value of the inequaltiy

Answer:

your anwser is 8

Step-by-step explanation:

HELP!!! Cumulative Exam!! Which is the simplified form of m Superscript negative 8 p Superscript 0? StartFraction 1 Over m Superscript 8 Baseline p EndFraction StartFraction 1 Over m Superscript 8 EndFraction StartFraction p over m Superscript 8 EndFraction m Superscript 8

Answers

Answer:

(B)[tex]\dfrac{1}{m^8}[/tex]

StartFraction 1 Over m Superscript 8 EndFraction

Step-by-step explanation:

We want to find the simplified form of: [tex]m^{-8}p^0[/tex]

[tex]m^{-8}p^0=m^{-8}$ X p^0\\p^0=1\\m^{-8}=\frac{1}{m^8} \\$Therefore:\\m^{-8}$ X p^0=\dfrac{1}{m^8} X 1\\=\dfrac{1}{m^8}[/tex]

The correct option is B.

Answer:

I am 80% sure its 1 if not then its 1/p

Step-by-step explanation:

Mr. Anderson has 4 recipes for granola. Which recipe has the greatest ratio of honey to oats?

Answers

Answer:

Recipe 3 has the greatest honey to oats ratio amongst the 4 recipes.

Step-by-step explanation:

Complete Question

Mr. Anderson has 4 recipes for granola. Recipe 1

A 2-column table with 3 rows is titled Recipe 1. Column 1 is labeled Honey (tablespoons) with entries 5, 10, 15. Column 2 is labeled Oats (cups) with entries 2, 4, 6.

Recipe 2

A 2-column table with 3 rows is titled Recipe 2. Column 1 is labeled Honey (tablespoons) with entries 6, 10, 14. Column 2 is labeled Oats (cups) with entries 3, 5, 7.

Recipe 3

A 2-column table with 3 rows is titled Recipe 3. Column 1 is labeled Honey (tablespoons) with entries 3, 6, 9. Column 2 is labeled Oats (cups) with entries 1, 2, 3.

Recipe 4

A 2-column table with 3 rows is titled Recipe 1. Column 1 is labeled Honey (tablespoons) with entries 8, 10, 12. Column 2 is labeled Oats (cups) with entries 4, 5, 6.

Which recipe has the greatest ratio of honey to oats?

Solution

Computing the ratio of honey to oats for each of recipes

Recipe 1

Honey | 5 | 10 | 15

Oats | 2 | 4 | 6

Honey to Oats ratio = (5/2) = (10/4) = (15/6) = 2.5 to 1.

Recipe 2

Honey | 6 | 10 | 14

Oats | 3 | 5 | 7

Honey to Oats ratio = (6/3) = (10/5) = (14/7) = 2 to 1.

Recipe 3

Honey | 3 | 6 | 9

Oats | 1 | 2 | 3

Honey to Oats ratio = (3/1) = (6/2) = (9/3) = 3 to 1.

Recipe 4

Honey | 8 | 10 | 12

Oats | 4 | 5 | 6

Honey to Oats ratio = (8/4) = (10/5) = (12/6) = 2 to 1.

Recipe 3 evidently has the greatest honey to oats ratio amongst the 4 recipes.

Hope this Helps!!!

Answer: Recipe 3

Step-by-step explanation:

it was found that out of 45 girls,10 joined singing but not dancing and 24 joined dancing . how many joined but not singing ? how many joined both

Answers

11 are in both singing and dancing.
45-10 singing= 35 not singing
45-24 dancing = 21 not dancing
24+10= 34 in singing OR dancing,
Subtract the 34 from 45
which leaves 11 in both singing AND dancing.

21  girls joined but not singing and 14 girls joined both singing and dancing.

What are Arithmetic operations?

Arithmetic operations can also be specified by the, subtract, divide, and  multiply built-in functions.

Total no. of girls = 45

No. of girls are dancing = 24

No. of girls are singing but not dancing = 10

No. of girl are both singing and dancing = 24-10 = 14

No. of girls are dancing but not singing = 45-24=21

Hence, 21  girls joined but not singing and 14 girls joined both singing and dancing.

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This net will be folded to form a prism. A net of a rectangular prism. From top to bottom, the rectangles are labeled B, D, E, F. The left side is labeled A and the right side is labeled C. Which pairs of faces will be opposite one another when the prism is created? Check all that apply. D and F A and C A and B B and F B and E B and C E and F A and F

Answers

Answer:

D and F

A and C

B and E

Step-by-step explanation:

due to the fact that it is a rectangle prism, and the A is on the left  and  C is on the right, the other alphabet  B,D,E F is straight down, you have to fold the d and f first, then A and C and lastly B and E to form the prism

Answer:

a,b,e

Step-by-step explanation:

In the right triangle shown, DF=EF=3DF=EF=3D, F, equals, E, F, equals, 3.

How long is DEDED, E?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
3\sqrt{2}3
2

3, square root of, 2, end square root

(Choice B)
B
3\sqrt 33
3

3, square root of, 3, end square root

(Choice C)
C
666

(Choice D)
D
6\sqrt 26
2

6, square root of, 2, end square root

(Choice E)
E
999
Report a problem
Do 5 problems



Answers

Answer: A or 3 sqrt 2

Step-by-step explanation:

Answer:

3 sqrt 2

Step-by-step explanation:

The area of a swimming pool is 120 sq meters. The width of the pool is 8 meters. what is the length of the pool in centimeters ?

Answers

120/8 = 15m
15m = 150cm
Answer 150cm

Chantel is running for a rally race she ran 2,000 feet every day for six days how many yards did Chanel run

Answers

Answer:

4,000 yards

Step-by-step explanation:

2,000 ft * 6 days = 12,000 feet ran in total

Conversion: 3 feet = 1 yard

12,000 ft = 4000 yards

PLEASE HELP ASAP A group of 8th and 9th graders were surveyed about whether they use social media to communicate with their friends. The results are shown below in the conditional relative frequency table by row. A 4-column table with 3 rows. The first column has no label with entries 8th grade, 9th grade, total. The second column is labeled do not use with entries 0.06, 0.19, 0.38. The third column is labeled use with entries 0.84, 0.81, 0.62. The fourth column is labeled total with entries 1.00, 1.00, 1.00. Which conclusions can be drawn from the results of the survey? Check all that apply. There is no association between using social media and grade level. The probability a student uses social media, given that he or she is in 9th grade, is 81%. A student who is more likely to not use social media is in 8th grade. An 8th grader is more likely to use social media than not. Knowing a student’s grade level does not help determine if he or she uses social media.

Answers

Options A, B, D, and E are correct answers such that the probability of the usage of social media by 8th and 9th-grade students is given.

A. There is no association between using social media and grade level.

B. The probability a student uses social media, given that he or she is in 9th grade, is 81%.

D. An 8th grader is more likely to use social media than not.

E. Knowing a student’s grade level does not help determine if he or she uses social media.

What is Probability?

Probability is the ratio of the favorable outcomes to the total outcomes.

Given that, a group of 8th and 9th graders were surveyed about whether they use social media to communicate with their friends.

We can see that, there is no relationship between the usage of social media and grade level so, we can say that there is no association between using social media and grade level.

Probability of using social media by a 9th grader is-

P(9) = 0.81 / 1 x 100 = 81%

Probability of using social media by a 8th grader is-

P(8) = 0.84 / 1 x 100 = 84%

We cannot define the usage of social media depending on the grade level.

Thus, Options A, B, D, and E are correct answers.

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The table is attached

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