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REY [17]
3 years ago
9

7. A travel website wants to gauge the perceived quality of a major airport. The maximum possible rating is 10, and the results

of a random sample of 50 travelers can be found in the Airport.xlsx file. Develop a 95% confidence interval estimate of the population mean rating for the airport based upon this data.
Mathematics
1 answer:
Airida [17]3 years ago
8 0

Answer:

The 95% confidence interval has Minimum = 6.053 and Maximum = 7.467

Step-by-step explanation:

Here we have

Data as

1 5 6 7 8 8 8 9 9 9 9 10 3 4 5 5 7 6 8 9 10 5 4 6 5 7 3 1 9 8 8 9 9 10 7 6 4 8 10 2 5 1 8 6 9 6 8 8 10 10

The sum is 338

∴ Mean, \bar x = 6.76, Standard Deviation, s = 2.55

Sample size, n = 50

For a 95% confidence interval, we have

CI=\bar{x}\pm z\frac{s}{\sqrt{n}}

Where z is;

z at 95% z = \pm1.96

Therefore, we have

95% confidence interval as Minimum = 6.053 to Maximum = 7.467.

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Express the system as AX = B; then solve using matrix inverses
Wittaler [7]

Answer with explanation:

1. The given equations are

3x -5 y=2

-x+2 y= 0

⇒The matrix in the form of , AX=B, is

A=\left[\begin{array}{cc}3&-5\\-1&2\end{array}\right] ,\\\\ X=\left[\begin{array}{c}x&y\end{array}\right],\\\\B=\left[\begin{array}{c}2&0\end{array}\right]

\rightarrow X=A^{-1}B\\\\\rightarrow X=\frac{Adj.A}{|A|}\times B

Adj.A=Transpose of cofactor of Matrix A

Adj.A=\left[\begin{array}{cc}2&1\\5&3\end{array}\right] ,\\\\ |A|=6-5\\\\|A|=1\\\\\left[\begin{array}{c}x&y\end{array}\right]=\left[\begin{array}{cc}2&5\\1&3\end{array}\right] \times \left[\begin{array}{c}2&0\end{array}\right]\\\\x=4, y=2

2.

The given equations are

x+y-z=2

x+z=7

2 x +y+z=13

⇒The matrix in the form of , AX=B, is

   A=\left[\begin{array}{ccc}1&1&-1\\1&0&1\\2&1&1\end{array}\right]\\\\ X=\left[\begin{array}{ccc}x\\y\\z\end{array}\right]\\\\B= \left[\begin{array}{ccc}2\\7\\13\end{array}\right]\\\\\rightarrow X=A^{-1}B\\\\\rightarrow X=\frac{Adj.A}{|A|}\times B\\\\a_{11}=-1,a_{12}=1,a_{13}=1,a_{21}=-2,a_{22}=3,a_{23}=1,a_{31}=1,a_{32}=-2,a_{33}=-1\\\\|A|=1\times(0-1)-1\times(1-2)-1\times(1-0)\\\\=-1+1-1\\\\|A|=-1\\\\Adj.A=\left[\begin{array}{ccc}-1&-2&1\\1&3&-2\\1&1&-1\end{array}\right]

\frac{Adj.A}{|A|}=\left[\begin{array}{ccc}1&2&-1\\-1&-3&2\\-1&-1&1\end{array}\right]\\\\X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}1&2&-1\\-1&-3&2\\-1&-1&1\end{array}\right]\times\left[\begin{array}{ccc}2\\7\\13\end{array}\right]\\\\x=3,y=3,z=4

7 0
3 years ago
Solve for x.<br> 10 m<br> 42
kramer

Answer:

The measures of a pair of same-side exterior angles are 10w and 5v. ... Find the measure of angles 1-7 given that lines m and n are parallel and t is transversal. ... Solve for x. 120= 15x +5+ 22x +4. 120 = 37% +. 4. (X=3]. 6. Use the following figure, given that ... Find the measure of angle 1. m24 = 123, mZ1 = 2x, mZ2 = x +42.

Step-by-step explanation:

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2 years ago
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Answer:

-14/15

Step-by-step explanation:

First, you want to turn each mixed number into an improper fraction. So you get -10/3 + 12/5. Then you want to get the same denominator, and the LCD happens to be 15. You get -50/15 + 36/15. Addition is commutative, so you can do something like this: 36/15 - 50/15. You can do 36-50=-14, and then add the denominator to get -14/15.

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3 years ago
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Step By Step explanation
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LuckyWell [14K]

Answer:

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Step-by-step explanation:

<h3>Given expression</h3>

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<h3>Simplify the expression in steps as below</h3>

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Used properties in solution process:

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8 0
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