You are planning a survey of starting salaries for recent computer science majors. In the latest survey by the National Association of Colleges and Employers, the average starting salary was reported to be $60,038. 5 If you assume that the standard deviation is $4300, what sample size do you need to have a margin of error equal to $500 with 95% confidence

Answers

Answer 1

Answer:

A sample size of 285 is needed.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation is $4300

This means that [tex]\sigma = 4300[/tex]

What sample size do you need to have a margin of error equal to $500 with 95% confidence?

A sample size of n is needed. n is found when M = 500. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]500 = 1.96\frac{4300}{\sqrt{n}}[/tex]

[tex]500\sqrt{n} = 1.96*4300[/tex]

[tex]\sqrt{n} = \frac{1.96*4300}{500}[/tex]

[tex]n = 284.1[/tex]

Rounding up

A sample size of 285 is needed.


Related Questions

A clothing retailer is gathering data on the amount of time each customer spends shopping in its stores. Each location collected 20 pieces of data and will compile that data to determine a population mean. One location has a sample mean of 32.5.

Which statement must be true about this situation?

A.
The population mean is also 32.5.
B.
There is not enough information to make a conclusion about the population mean.
C.
The population mean must be greater than 32.5.
D.
The population mean must be less than 32.5.

Answers

Answer:

B

Step-by-step explanation:

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer:

(2, 5)

Step-by-step explanation:

(x,y) -> )- y,x)

Please help me i need this turned in by tonight and i really don’t understand it but i don’t need an explanation i just need the awnser.

Answers

Answer: 180

Hope it helps

Step by step explanation:

1000*.18=180

PLS I NEED HELP CIRCUMFERENCE

Answers

Answer:

131.88 inches

Step-by-step explanation:

Circumfrnce formula is diameter * π

5. chris is a school teacher who earns $32,000 for the 10-month school year. however, the salary is paid out in 12 monthly installments. how much does is the monthly paycheck? _________​

Answers

Answer:

$2666.66

Step-by-step explanation:

Yearly income = $32000

Each installment is 1/12 of a yearly income:

$32000/12 = $2666.66

Annual salary=32000

Monthly salary

32000/1216000/68000/3$2666.67


Mr. G's pet cat can travel 10 meters in 20 seconds. How many meters can the cat travel in 1 second? Write your answer as a ratio.

Answers

Answer:

0.5 meters a second or 0.5:1

Step-by-step explanation:

10 meters ÷ 20

_______________

20 seconds ÷ 20

=  

0.5 meters

_______________

1 second  

What is sin ?
What is a cos?

Answers

Answer:

Cos: adjacent / hypotenuse

In a right angled triangle, the cosine of an angle is: The length of the adjacent side divided by the length of the hypotenuse. The abbreviation is cos. cos(θ) = adjacent / hypotenuse. Well Done!

Sin: In mathematics, the sine is a trigonometric function of an angle. The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle, to the length of the longest side of the triangle.

hope this helps out, if not, i'm sorry

Step-by-step explanation:

Answer:

Sin=O/H

Cos=A/H

Step-by-step explanation:

Sin in full is some, a trigonometric ratio calculated by dividing the opposite over the hypotenuse.

Cos is in full cosine , also a trigonometric ratio calculated by dividing the adjacent over the hypotenuse.

guys thank you for everyone who has helped me im almost done​

Answers

Answer:

y = 4

y = 7

x = 6

Hope that helps! :)

Step-by-step explanation:

To find the area of a trapezoid, use the expression ½h(b¹ + b²), where h represents the height, b, represents the length of the top base, and by represents the length of the bottom base. What is the area of the trapezoidal table?​

Answers

is there supposed to be an image?? (comments, ill give answer if not, im

just confused)

HELP PLEASE ASAP!!!!! 20 POINTS!!!!

Answers

I think it would be 10x+y because the slope is the amount he spends each month for the streaming service so then it would be 10x because x represent the number of months and then it’s +y because that’s the amount he already spent on the tablet

Please help me with this

Answers

Answer: 20 inches

Step-by-step explanation:  You will use the equation 48 x 28 x N = 26,880. To find the solution divide 48 and 28 from 26,880 to get N. To check your work just multiply what you got from N by 48 and 28.

5a. Solve the equation. 4x = 32

Answers

Answer:

x=8

Step-by-step explanation:

have a good day

Answer:

x=8

Step-by-step explanation:

divide both sides of the by equation by 4

4x÷4=32÷4

x=32÷4

x=8

choose the equation that describes the relationship in the following table. please answer ASAP ty

Answers

Answer:

C) y = -5x + 32

Step-by-step explanation:

Only choice where the all the x values equal the y values


Write the following numeral in words.
616 845

Answers

Answer:

six hundred sixteen thousand eight hundred forty five

Step-by-step explanation:

Answer: Six hundred sixteen thousand eight hundred fourty five

!!TIP: To write numbers in letters, its spelled the same as the letters would have been said for example 66 - sixty six.

What is the value of 7, 488 / 416

Answers

Answer:

8.17307692308

Step-by-step explanation:

7,488 divided by 416 is 18 (:

Describe the relationship between the inputs and outputs in the diagram. Then complete the diagram. WILL NAME BRAINLIST!!!!!!!!!!!

Answers

Answer/Step-by-step explanation:

As the input increases by 1, the output decreases by 4. The missing number for the Input is 6, and the missing number for output is -17.

Just want to confirm the answer is 4 more student because from 6 to 10 is 4
More or I’m wrong ?? Just please help me with yes or no thanks

Answers

Yes the answer is correct it’s 4

Answer:

Yes

Step-by-step explanation:

Your answer is correct ^^

Two of the angles in a triangle measure 90 degrees and 7 degrees what is the measure of the third angle

Answers

The third angle should be 83.
90+7+83=180

Answer:

The third angle would be 83 degrees.

Step-by-step explanation:

Seeing that every triangle's angles will always add up to 180 degrees, we would do the following:

180-90=90

90-7=83 degrees.

What’s another word for average

Answers

Answer:

Normal/standard

Step-by-step explanation:

Answer:

Ordinary

Step-by-step explanation:

at his last baseball game, George missed 35% of the pitches thrown at him. based on this information, how many pitches will he miss if he has 40 pitches thrown at him?

Answers

Answer:

14

Step-by-step explanation:

35% of 40

= 35/100 × 40

= (35×4)/10

= 140/10

= 14

A die is rolled 200 times with the following results. Outcome 1 2 3 4 5 6 Frequency 32 36 44 20 30 38 What is the experimental probability of rolling the given result? a prime number a. 0.45 c. 0.71 b. 0.55 d. 0.73 Please select the best answer from the choices provided A B C D

Answers

Answer: B

Step-by-step explanation:

The prime numbers here are outcomes 2, 3, and 5.

Therefore, we must add the frequency numbers for these prime numbers:  

                36 + 44 + 30 = 110

Out of 200 dice rolls, 110 were prime numbers. This can be represented as:

              110/200 = 11/20 (fraction form)

                             = 0.55 (decimal form)

Therefore, the answer is b. 0.55

Can someone please answer these two questions

Answers

Answer:

A.

Step-by-step explanation:

Which graph and equation shows a proportional relationship between r and y? y= 11.5% y = 1.5x - 1.5​

Answers

Answer:

y = 1.5x - 1.5​

Step-by-step explanation:

Model and Solve Equations with Geometry Concepts (7.11c) . ... Now substitute the values for x and y into the expression. 2(1. 3. )(1. 2. −3) ... 10.0+1.5 = 11.5.

What is the value of d and w?

Answers

Answer:

d = 65

w = 55

Step-by-step explanation:

w + 90 + 35 = 180

w + 125 = 180

w = 55

35 + x = 60 (Vertical angle thm)

x = 25

d + x = 90

d + 25 = 90

d = 65

Please read the question and answer if you can 6th grade

Answers

Answer:

112 in

Step-by-step explanation:

14 x 8 = 112

The shaded region is half of the rectangle and also a triangle

Use formula: (L * W)/2
L = 14, W = 8
14 * 8 = 112/2 = 56
Solution: 56 in^2

question is in picture please help!

Answers

Answer:

I’m not 100% sure but I think 120°.

Step-by-step explanation:

This is because, angles on a straight line add up to 180°. Because there is 60 degrees on one side of line B, this means the other section is 120° (120°+60°=180°) The angle labelled (3x) is alternate to the angle of 120°. Alternate angles are always equal, meaning that 3x is equal to 120°.

I hope this is right.

8. Change the fraction 3/4 to a percent.
A. 133%
B. 75%
C.63%
D. 34%

Answers

Answer:

B. 75%

Step-by-step explanation:

multiply the numerator and the denominator by 25. 3*25/4*25=75/100. 3/4=75%.

Answer:

75%

Step-by-step explanation:

Start by converting the fraction 3/4 into decimal

Divide the numerator by the denominator: 3 ÷ 4 = 0.75

Multiply the decimal by 100 and write the result with the percentage sign at the end 0.75 × 100 = 75%.

your awnser is, 3/4 = 75%

(sorry if this doesnt

make sence)

Please help ASP!!!! A= positive, B=Negative, C=Zero​

Answers

Answer:

B. Negative

Step-by-step explanation:

So first, we want to locate the variable.

y (x/y) = (y/1) (x/y)

           = (xy/y)

           = x

The y/y cancels out and now we know we need to find the sign of x. Because x is to the left of 0, it's negative. Anything to the left decreases and anything to the left of 0 is (-).

Morgan bought a sofa for $216.00. The finance charge was $25 and she paid for it over 15 months.

Use the formula Approximate APR =(Finance Charge÷#Months)(12)Amount Financed

to calculate her approximate APR.

Round the answer to the nearest tenth.

9.4%
9.3%
1.2%
1.1%

Answers

Answer:

9.3%

Step-by-step explanation:

Took the test, so i checked the answers and the correct one was 9.3% have a beautiful day

What is the median for the following set of data?

5, 7, 9, 11, 13, 13

A. 10
B. 8
C. 9
D. 11

Answers

C. 9
There are 6 numbers and half of 6 is 3 so the third one is 9!!

Answer:

Answer is 9

Step-by-step explanation:

I did the quiz also used a median calculator I don't think this will help but hopefully it dose or something

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