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lidiya [134]
3 years ago
9

The national mean annual salary for a school administrator is $90,00 a year (The Cincinnati Enquirer, April 7, 2012). A school o

fficial took a sample of 25 school administrators in the state of Ohio to learn about the salaries in that state to see if they differed from the national average.
A) Formulate hypotheses that can be used to determine whether the population mean annual administrator salary in Ohio differs from the national mean of $90,000.

B) The sample data for 25 Ohio administrators is contained below. What is the p-value for your hypothesis test in part A?

C) At alpha = 0.05, can your null hypothesis be rejected? What is your conclusion?

D) Repeat the preceding hypothesis test using the critical value approach?

Salary Data


77600



76000



90700



97200



90700



101800



78700



81300



84200



97600



77500



75700



89400



84300



78700



84600



87700



103400



83800



101300



94700



69200



95400



61500



68800
Mathematics
1 answer:
timofeeve [1]3 years ago
6 0

Answer:31) The Coca-Cola Company reported that the mean per capita annual sales of its beverages in the United Sates was 423 eight-ounce servings. Suppose you are curious whether the consumption of Coca-Cola beverages is higher in Atlanta. A sample of 36 individuals from the Atlanta area showed a sample mean annual consumption of 460.4 eight ounce servings with a standard deviation of s=101.9 ounces. Using a=.05, do the sample results support the conclusion that mean annual consumption of Coca-Cola beverage products is higher in Atlanta

Step-by-step explanation:29) The national mean annual salary for a school administrator is $90,000 a year. (The Cincinnati Enquirer, April 7, 2012) A school official took a sample of 25 school administrators in the state of Ohio to learn about salaries in that state to see if they differed from the national average.

a) Formulate hypotheses that can be used to determine whether the population mean annaual administrator salary in Ohio differs from the nation mean of $90,000.

b) The sample data for 25 Ohio administrators is contained in the file named Administrator. What is the p-value for you hypothesis test in part (a)?

c) A a=.05 can your null hypothesis be rejected? What is your conclusion?

d) Repeat the preceding hypothesis test using the critical value approach.

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If x plus 5y =4v what will it be if x is rearranged so x=
Illusion [34]

                                    <u>x + 5y  =  4v</u>

Subtract  5y  from each
side of your equation:        <em>    x  =  4v - 5y</em>


4 0
3 years ago
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Find the TWO integers whos product is -12 and whose sum is 1
konstantin123 [22]

Answer:

\rm Numbers = 4 \ and \ -3.

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

  • The sum of two numbers is 1 .
  • The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

  • First number be x
  • Second number be 1-x .

<u>According</u><u> to</u><u> </u><u>first </u><u>condition</u><u> </u><u>:</u><u>-</u><u> </u>

\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}

<u>Hence </u><u>the</u><u> </u><u>numbers</u><u> </u><u>are </u><u>4</u><u> </u><u>and </u><u>-</u><u>3</u><u> </u>

3 0
3 years ago
Help with this question, please!! I need serious help on this question!
Kipish [7]

Answer:

\large\boxed{d_2=15\ cm}

Step-by-step explanation:

The formula of an area of a kite:

A=\dfrac{d_1d_2}{2}

d₁, d₂ - diagonals

We have A = 120 cm² and d₁ = 16 cm. Substitute:

\dfrac{16d_2}{2}=120

8d_2=120           <em>divide both sides by 8</em>

d_2=15\ cm

4 0
3 years ago
2 Select the correct answer. What is the inverse of function ? F(x)=10/9x+11 A.f-1(x)=9x-99/10 B.f-1(x)=9/10x+11 C.f-1(x)=9x+11/
Lilit [14]

Consider f(x)=y.

\begin{gathered} f(x)=y \\ x=f^{-1}(y) \end{gathered}

Simplify the equation f(x)=y to obtain the value of x in terms of y.

\begin{gathered} f(x)=y \\ \frac{10}{9}x+11=y \\ \frac{10}{9}x=y-11 \\ 10x=9y-99 \\ x=\frac{9y-99}{10} \end{gathered}

So inverse of function is,

f^{-1}(x)=\frac{9y-99}{10}

Correct nswer is A part.

6 0
1 year ago
The gas tank of Tyrell's truck holds 19.8 gallons. when the tank is empty Tyrell fills it with gas that cost $3.65 per gallon. a
Murljashka [212]
This is pretty simple. Since there are 19.8 gallons and every gallon is 3.65$, you multiply 19.8 by 3.65 to get $72.27. It will cost 72.27$ to fill up the tank.
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