1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Neko [114]
3 years ago
13

Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its average number of unoc

cupied seats per flight over the past year. To accomplish this, the records of 225 flights are randomly selected, and the number of unoccupied seats is noted for each of the sampled flights. Descriptive statistics for the data are as follows: "x-bar" = 11.596 and "s" = 4.103.
How large a sample size is required to vary population mean within 0.30 seat of the sample mean with 95% confidence interval?
Mathematics
1 answer:
Bingel [31]3 years ago
6 0

Answer:

We need a sample size of at least 719

Step-by-step explanation:

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

\alpha = \frac{1-0.95}{2} = 0.025

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

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How large a sample size is required to vary population mean within 0.30 seat of the sample mean with 95% confidence interval?

This is at least n, in which n is found when M = 0.3, \sigma = 4.103. So

M = z*\frac{\sigma}{\sqrt{n}}

0.3 = 1.96*\frac{4.103}{\sqrt{n}}

0.3\sqrt{n} = 1.96*4.103

\sqrt{n} = \frac{1.96*4.103}{0.3}

(\sqrt{n})^{2} = (\frac{1.96*4.103}{0.3})^{2}

n = 718.57

Rouding up

We need a sample size of at least 719

You might be interested in
A path 1 m wide is build around a garden that is a 30-meter square. What is the area taken by the path?
maria [59]

Length of outer boundary =30m

So area of outer boundary =30×30

= 900m²

Length of inner boundary of path=30-1= 29m

Inner area =29×29 =841m²

So area of path is= outer area - inner area

=900- 841

= 59m²

6 0
2 years ago
A circle has a radius of 6. An arc in this circle has a central angle of 330
sashaice [31]

Answer: Arc\ lenght\approx34.55\ units

Step-by-step explanation:

<h3> The complete exercise is: " A circle has a radius of 6. An arc in this circle has a central angle of 330 degrees. What is the arc length?"</h3><h3></h3>

To solve this exercise you need to use the following formula to find the Arc lenght:

Arc\ lenght=2\pi r(\frac{C}{360})

Where "C" is the central angle of the arc (in degrees) and "r" is the radius.

In this case, after analize the information given in the exercise, you can identify that the radius and the central angle in degrees, are:

r=6\ units\\\\C=330

Therefore, knowing these values, you can substitute them into the formula:

Arc\ lenght=2\pi (6\ units)(\frac{330}{360})

And finally,you must evaluate in order to find the Arc lenght.

You get that this is:

Arc\ lenght=2\pi (6\ units)(\frac{11}{12})\\\\Arc\ lenght=11\pi \ units\\\\Arc\ lenght\approx34.55\ units

3 0
3 years ago
Read 2 more answers
2 divided by one over 3 the awnser is a fraction
slamgirl [31]

Answer:

That would equal \frac{2}{3} or approximately 0.67. If this helps, please rank Brainliest. Thanks!

4 0
3 years ago
Read 2 more answers
1252 divided by 48 equals 26 r 4
Ksenya-84 [330]
I assume that in this question, you are asked to evaluate the value(s) of r. To answer that question, dividing 1252 by 48 gives us 26.0833 or 26. Mathematically expressing the solution,
                                         26 = 26r^4
Then, divide the equation by 26, giving us 1 = r^4. Evaluate r. This will give us answers of +-1. 
7 0
3 years ago
What is the expanded form of 4,365,421,006
Jlenok [28]

Answer:4 × 109

+ 3 × 108

+ 6 × 107

+ 5 × 106

+ 4 × 105

+ 2 × 104

+ 1 × 103

+ 0 × 102

+ 0 × 101

+ 6 × 100

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • How can you find 27 + (-40)
    8·2 answers
  • How do you change 1/16 into a decimal?
    14·2 answers
  • A retangular table top measures 4/9 of a meter long by 8/9 of a meter wide. What is its area?
    8·1 answer
  • Without multiplying, is the product of 45x 10 or 50x10 greater? Explain
    6·2 answers
  • Find the equation of the line passing<br> through the points (3,-2) and (4, 6).<br> y = 8x + [?]
    8·1 answer
  • Susan is wanting to create a garden. She needs the length of her garden to be 3 feet longer than the width. a) write a function
    8·1 answer
  • A delivery truck covers a distance of 50 miles every hour. Write the equation that represents, d, the truck has covered over h h
    10·1 answer
  • HELP DUE IN 20 MINS!<br><br> x = ??
    11·1 answer
  • HELP PLEASE LOOK AT PICTURE
    15·1 answer
  • Anthony wants to find out the percentage of students at his school who are vegetarians. Which of the following is the most repre
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!