You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you​ survey? Assume that you want to be 95% confident that the sample percentage is within 4.2 percentage points of the true population percentage.

Answers

Answer 1

Answer:

545 randomly selected air passengers must be surveyed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Assume that you want to be 95% confident that the sample percentage is within 4.2 percentage points of the true population percentage.

We dont know the true proportion, so we use [tex]\pi = 0.5[/tex], which is when the largest sample size will be needed. We have to find n for which [tex]M = 0.042[/tex]. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.042 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.042\sqrt{n} = 1.96*0.5[/tex]

[tex]\sqrt{n} = \frac{1.96*0.5}{0.042}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.042})^2[/tex]

[tex]n = 544.4[/tex]

Rouding up

545 randomly selected air passengers must be surveyed.


Related Questions

Can anyone help me with this?

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Answer:

its option c kskskwoodid djekeo e ekekwl skewered dokekwowkwkw ekekekkr

Answer:

purple green blue is what it looks like

Select the correct answer. What is true of the function as the x values increase?

Answers

Answer:

B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

What fraction is shown on the ruler below?

Answers

Answer:

4.30

Step-by-step explanation:

because there is 4.25 and then the line after is 4.25

Answer: its 4 5/16

Step-by-step explanation: 100 on my quiz

Which benchmark is 1 7 is closest to

Answers

Answer:

I need points

Step-by-step explanation:

Answer:

They use these benchmarks to help compare the relative sizes of fractions, through ... Understanding why a fraction is close to zero, one half or one helps students ... "7/8 is closer to one because eighths are smaller parts than sixths and 7/8 is ...

Step-by-step explanation:

∅,∅                    ∅ω∅hope this helps

pls help!!!!!!!!!!!!!

Answers

Answer:

d=1/4

Step-by-step explanation:

I hope I'm correct, haha

The answer is d=1/4

Hopefully this helps

Determine the value of y, if x is 3.
y = x + 10

HELP FAST

Answers

Answer:

13

Step-by-step explanation:

3+10

Answer:

13

Step-by-step explanation:

y = x + 10

x = 3

y = (3) + 10

y = 13

HELP!!!!

When Jackson moved into a new house, he planted two trees in his backyard. At the time of planting, Tree A was 24 inches tall and Tree B was 36 inches tall. Each year thereafter, Tree A grew by 10 inches per year and Tree B grew by 7 inches per year. Let A represent the height of Tree A t years after being planted and let B represent the height of Tree B t years after being planted. Write an equation for each situation, in terms of t, and determine the height of both trees at the time when they have an equal height.

Answers

Answer:

For tree A: 24+10t

For tree B: 36+7t

They are at the same height at 4 years at a height of 64 inches

Step-by-step explanation:

To figure out when the trees are at the same height make the equations equal to each other and solve for T

24+10t=36+7t

Subtract 24 and 7t from both sides to get

3t=12

divide by 3 to get

t=4

This means at t=4 they are at equal height so we plug this into any of the equations

24+10*4

this is equal to 64

We can double check by plugging t=4 into the second equation

36+7*4

36+28=64

Pls help offering 20 points D:

Answers

Answer:

ok,soo I found out that when you add one of the y values to positive 9 it gives you the exact x value which is correct

Based on a 4-week work month and a 40-hour

workweek, which amount is closest to the combined

hourly wage needed for this family to pay its

budgeted expenses?

A

$1,107.50

B

$27.69



$110.75

D

$55.38

Answers

Answer:

$27.69

Step-by-step explanation:

Given

Monthly budget (See attachment)

[tex]Month = 4\ weeks[/tex]

[tex]Week = 40 \ hour[/tex]

Required

Determine the closest hourly wage

From the attachment, the monthly budget is:

[tex]Budget = \$ 4430[/tex]

First, we calculate the closest weekly earnings.

Since a month = 4 weeks.

Then

[tex]Weekly\ Earnings = \frac{\$4430}{4}[/tex]

[tex]Weekly\ Earnings = \$1107.5[/tex]

Next, we calculate the hourly earnings:

Since 1 week = 40 hour

Then

[tex]Hourly\ Earnings = \frac{\$1107.5}{40}[/tex]

[tex]Hourly\ Earnings = \$27.6875[/tex]

From the list of options, the closest is: $27.69

Need today right nowvery easy

Answers

25 + (-30) = -5

-15 + (-30) = -45

10 + (-10) = 0

i’m pretty sure these are correct, hope it helped :) sorry if it’s wrong 0_0

Which of the following sequences is arithmetic?
1. 1, 2, 3, 5, 8
2. 5, 15, 45, 135
3. 11, 13, 15, 17

Answers

Answer:

3. 11,13,15,17

is arithmetic sequence

hope it helps.

Measure the two new angles to verify that you’ve properly bisected ∠BAC using traditional methods.

Answers

Answer:

Showing that m∠BAF = m∠FAC = 25.67° verifies that ∠BAC has been bisected.

Step-by-step explanation:

sample answer on plato

It verifies that  ∠BAC has been bisected.

Measure the two new angles to verify that bisected ∠BAC using the Traditional Method.

Let us take ∠BAC = 51.34

Then, ∠BAF = ∠FAC = 25.67° verifies that ∠BAC has been bisected.

Hence, It verifies that  ∠BAC has been bisected.

Learn more about bisection here https://brainly.com/question/22883501

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julio filled his car up with gas he paid $12.95 for 5 gallons of gas. what is the cost per gallon of gas

Answers

Answer:

the cost for each gallon is 2.59

Step-by-step explanation:

Hellen used a coupon she received in the mail at a local boutique that decreased her purchase of $85.20 by $12.78. Her sister used the same coupon and decreased her purchase of $63.80 by $9.57. Write the equation of a line, in the form y = mx + b, to model this linear relationship.

Answers

Answer:

y = 12665 (100⁻¹)  + b

Step-by-step explanation:

To model this relationship, you're to write the equation of a line; in the form

y = mx + b

Now let y represent the full coupon value,

mx represent the amount spent by Hellen and her sister

and b, the change that's left on the coupon.

So, the summary of Hellen's transaction is:

$85.2 became $(85.2 - 12.78) which is  =  $72.42

The summary of her sister's transaction is:

$63.8 became $(63.8 - 9.57) which is  =  $54.23

So   y - (72.42 + 54.23) = b

y - 126.65 = b

y = 126.65 + b

Separating m from x in mx, you have

y = 12665 x 1/100  + b

y = 12665 (100⁻¹)  + b

Where m = 12,665   and x = 100⁻¹

Name an amount that is NOT a solution to the
inequality. Explain how you know.

Answers

answer: 20

in the number line, you can see that the dot on 20 is an open circle. this means that it is not included. so 20 could be one of the answers.

- anything greater than 20 would be an answer.

Jack and Jill both drive the same distance to the beach. By driving 15 miles per hour faster than Jack, Jill can get there in 3 hours while it takes Jack 4 hours. How fast does each of them drive? If you answer this you are an absolute legend

Answers

Answer:

Jill drives 45 miles in 3 hours.Jack can drive 60 miles in 4 hours.

Step-by-step explanation:

4+2×1+3? How do u solve this please?​

Answers

Answer:

7

Step-by-step explanation:

PEMDAS multiply 2 times 1 then add 4 and 3

Answer:

4+2=6

6 times 1 = 6

then add 3 you get 9 for your answer

Step-by-step explanation:

What percent of 72 is 16?

( My answer sheet says it’s 30

Answers

If you are using a calculator, simply enter 16÷72×100 which will give you 22.22 as the answer.
22.22 hope you find this answer very helpful

find the area of the composite figure

Answers

well cutting off the small 4x2 you get 8 plus’s the 7x2 is 14 so just add those together you should get 22in ^2

Answer:

the whole thing is 174

Step-by-step explanation:

2(-3x + 5) = -4(x + 4)

Answers

Answer:

5x - 3 = 3x - 5

2x = -2

x = -1

hope it helped you

Answer:

x=13

Step-by-step explanation:

Determine the value of x

Answers

Answer:

the value of x is 80

Step-by-step explanation:

this year Martin income is 1/4 greater than his income from last year. If s represents his income from last year, what is his income this year

Answers

Answer:

1

Step-by-step explanation:

:)

Help me in math aaaaaaa​

Answers

Answer:

105

Step-by-step explanation:

180 - 140 = 40

180 - 145 = 35

35+ 40 = 75

180 - 75 = 105

a = 5

Answer:

105

Step-by-step explanation:

interior angle next to 145 is 180-145=35

interior angle next to 140 is 180-140=40

angle a= 180-35-40=105

A collection of dimes and nickels has a total value of two dollars and contains 28 coins. How many dimes are there in the collection?

A.)14 dimes

B.)8

C.)12

D.)10

Answers

You were supposed to make a system of equations and solve it by elimination. the answer is C and here’s how i solved it. I hope this helps you out and helps you understand this topic a bit more :)

Answer:

12 dimes

Step-by-step explanation:

Let :

Dime = x

Nickel = y

Dime is worth 10 cent = $0.1

Nickel is worth 5 cent = $0.05

x + y = 28 - - - (1)

0.1x + 0.05y = 2 - - - (2)

From (1)

x = 28 - y

0.1(28 - y) + 0.05y = 2

2.8 - 0.1y + 0.05y = 2

2.8 - 0.05y = 2

2.8 - 2 = 0.05y

0.8 = 0.05y

y = 0.8 / 0.05

y = 16

x = 28 - 16

x = 12

Cindy, Mary, and Reese will share the cost to rent a vacation home for a week.


Cindy's share represents 40% of the cost.

Mary's share represents 35% of the cost.

Reese's share represents the remainder of the cost.


The cost to rent a vacation home for a week is $850. How much will Reese pay to rent this vacation home for a week?


A) $200.00

B) $297.50

C) $212.50

D) $637.50


If you can plz show your work thank you and this is a 7th grade question have fun

Answers

Answer: $212.50

Step-by-step explanation:

Cindy's share = 40% of the cost.

Mary's share = 35% of the cost.

Reese's share = 100% - (40% + 35%) = 100% - 75% = 25%

If the cost to rent a vacation home for a week is $850, the amount that Reese will pay to rent this vacation home for a week will be:

= 25% × $850

= 0.25 × $850.

= $212.50

The probability of getting hired at company A is 0.84, while the probability of getting hired at company B is 0.71. If

whether or not getting hired at one company is not influenced by getting hired at the other company, what is the

probability of getting hired at both companies?

0.046

0.114

O 0.596

0.71

O 0.84

Answers

Answer:

B. 0.597

Step-by-step explanation:

Probability (p) of A and B = p(A)*p(B)

Miles is throwing three darts at the board shown below. His score is the sum of all three darts. How many different possible total scores could Miles get with three darts?



A. 200

B. 31

C. 12

D. 10

Answers

The required a combination of different possible total scores could Miles get with three darts nC3.

What are permutation and combination?

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

here,
The question seems to be incomplete,
So this solution is standard by certain assumptions.

Let the on the board there are n number of scores listed,
So the different possible total scores could Miles get with three darts
Is given as by combination = nC3

Thus, the required combination of different possible total scores could Miles get with three darts nC3.

Learn more about permutations and combinations here: https://brainly.com/question/2295036
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helps!! will give brainliest

Answers

a) the graphs of a equation are parallel

x3 - 4x2 - 7x + 10 = 0

Answers

Answer:

x=0.5 or u cann putt x=1/2

X=1/2
I hope it helps

4. Find the area of the triangle whose breadth is 48 cm and height is 5cm​

Answers

Answer:120

Step-by-step explanation:

A=(h)(b)/2
A=(5)(48)/2
A=120
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