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
The proceeds from a car wash are directly proportional to the number of cars washed. The total after 9 cars was $180. How much c
Westkost [7]

Answer:

$1200

Step-by-step explanation:

180 divided by 9 is 20, so they earned $20 per car washed. They want to wash 60 cars, and if they wash 60 cars they would earn $1200. (60 x 20)

5 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=5%20%5Csqrt%7B15%7D%20" id="TexFormula1" title="5 \sqrt{15} " alt="5 \sqrt{15} " align="absmid
PSYCHO15rus [73]
The answer is 1.71......
5 0
3 years ago
A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than
-BARSIC- [3]

Answer:

a) Null Hypothesis: length of each screw is less than 14 centimeters

b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters

Step-by-step explanation:

Complete question

A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 14 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of screws. The sample mean screw length was centimeters. The population standard deviation is known to be centimeters.

1. What is the null hypothesis?

2. What is the alternative hypothesis?

Solution :

The null hypothesis is basically the problem statement that needs to be tested.

Alternate hypothesis is opposite of that of null hypothesis

a) Null Hypothesis: length of each screw is less than 14 centimeters

b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters

7 0
3 years ago
taki has her back to a wall. she starts to walk straight forward. she stops and turns 133° to the right and walks back in this d
Nikitich [7]
I'd like to assume that the triangle is a right triangle and you solve for x so...

133 + c = 180   (supplementary property to find one angle of triangle)
          c = 47

x = 180 - 90 - 47 (int. angles of triangle = 180)
   = 90 - 47
   = 43

Therefore, x is 43 degrees
6 0
3 years ago
Question 1 . What division problem does this area model represent?
Law Incorporation [45]

Answer:

0

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Simplify -1-5 + 21.​
    5·1 answer
  • Zack wants to make a profit more than $300 for painting 4 identical rooms. The profit he makes is equal to the amount he is paid
    11·1 answer
  • Are these lines perpendicular? yes or no?<br> y= 4x+2<br> y= (-1/4)x+12
    13·2 answers
  • A transversal intersects two lines and forms a pair of same side interior angles that measure 36° and 4 times that measure. Prov
    10·1 answer
  • on the first one shows you how to solve it then second one is the problem just tell me the answer pls have a good day bye
    13·1 answer
  • What is the volume of the prism?
    11·1 answer
  • Augustus ruled the roman empire from 27 BC to AD 14.For how many years did he rule?<br><br><br>​
    10·2 answers
  • I need help on this please
    5·1 answer
  • Write 3^n/9^(n-1) as a power of 3
    14·1 answer
  • Pls help ill give brainliest !!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!