The Mean Corporation would like to invest in the booming health food industry. It is considering the creation of a health-drink franchise called Goose Juice. The investment department of the Mean Corporation wants to investigate the feasibility of this venture by examining the profits of similar franchises. It believes that the venture will be feasible if an average annual profit of more than $85,000 can be expected from each Goose Juice that is opened. It is known that the annual profits earned by health-drink franchises has a population standard deviation of $8,700.

The Mean Corporation's statisticians would like to construct a hypothesis test for the population mean annual profit earned by health-drink franchises. A random sample of 50 franchises was chosen and their annual profit for the previous financial year was recorded. The mean annual profit for the sample was calculated as $82,441.

The hypotheses that were used by the statisticians were

Null hypothesis: population mean = 81,000, Alternative hypothesis: population mean > 81,000 and the test statistic was found to be 1.29 (to 2 decimal places).

Required:
Calculate the p-value for this test, giving your answer as a decimal to 4 decimal places.

Answers

Answer 1

Answer:

The p-value is approximately 0.9015  

Step-by-step explanation:

The statistic parameters are;

The population mean, μ₀ = $85,000

The population standard deviation, σ = $8,700

The size of the sample, n = 50

The sample mean annual profit, [tex]\bar x[/tex] = $82,441

The null hypothesis, H₀: μ = 81,000

The alternative hypothesis, Hₐ: μ > 81,000

Given that n > 30, a z-test is used

The test statistic ≈ 1.29

Therefore, we have;

[tex]z=\dfrac{\bar{x}-\mu_0 }{\dfrac{\sigma }{\sqrt{n}}} = 1.29[/tex]

From the z-score, the p value for a test statistic of 1.29 = 0.90147 which is 0.9015 after rounding up to 4 decimal places


Related Questions

Plzzz help me I am
Timed!

Answers

Answer:

c

Step-by-step explanation:

structure with a square or triangular base and sloping sides that meet in a point at the top

Kevin is reading a 295-page book. On Friday, he read 73 pages. On Saturday, he read
89 pages. Which equation most closely estimates how many pages Kevin has
remaining to read?

Answers

The equation most closely estimates the number of pages Kevin has remaining to read will be x + 73 + 89 = 295.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less complicated.

Kevin is reading a 295-page book. On Friday, he read 73 pages. On Saturday, he read 89 pages.

Let 'x' be the number of pages to be read. Then the equation is given as,

x + 73 + 89 = 295

More about the Algebra link is given below.

https://brainly.com/question/953809

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Which of these is an exponential parent function?
A. f(x) = x
B. f(x) = x
C. f(x) = 2x
D. f(x) = 1x1
SMIT

Answers

D is the answer hope this helps!

Option B is correct, f(x) = 2ˣ is an exponential parent function.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The exponential parent function is of the form:

f(x) = aˣ

where a is a positive constant (the base of the exponential function).

Among the given options, the exponential parent function is,

⇒  f(x) = 2ˣ,

Because it has the form of an exponential function, where the base is 2.

f(x) = x is a linear function, not an exponential function.

f(x) = |x| is an absolute value function, not an exponential function.

f(x) = x² is a quadratic function, not an exponential function.

Hence,  f(x) = 2ˣ is an exponential parent function, Option B is correct.

To learn more on Functions click:

brainly.com/question/30721594

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The sum of 8 and t
help anyone??

Answers

T + 8
Not sure if I’m wrong but I am also learning this.

Answer:

8 + t

Step-by-step explanation:

The sum of 8 and t ⇒ 8 + t

please answer the question in the pic below :))

Answers

D hope this helps

Step-by-step explanation:

(All for fun!)

Ok, if theres 24 hours in a day and the flavor of the sky is watermelon how many people were born tomorrow?

If the color of the alphabet was 7 and you’re at home on the way to school whats your favorite subject?

How old are you on your 7th birthday when you’re not born yet if i like potatoes?


QUICK ANSWER FAST BEFORE YESTERDAY!

Answers

Answer:

1. red humans, or aleins?

2. i dont  know to be honest

3. -7 yrs old?

Answer:

I dont know

Step-by-step explanation:

If you're eating a bag of water for breakfast at night how many guitars do you need to milk a cow?

Carlos, Julio and Ricky were born in consecutive years Carlos was the oldest of the three and Ricky was the youngest. In 1990, after their birthday, the sum of their ages was 129. In what years were they born?

Answers

Answer:

Carlos born in 1944

Julio born in 1945

Ricky born in 1946

Step-by-step explanation:

x = Carlos age

x+1 = Julio age

x+2 = Ricky age

x + x+1 + x+2 = 129

3x + 3 = 129

3x = 126

x = 42 (Carlos age)

x+1 = 43 (Julio age)

x+2 = 44 (Ricky age)

1990 - 42 = 1944 (year Carlos born)

1990 - 43 = 1945 (year Julio born)

1990 - 44 = 1946 (year Ricky born)

A figure was translated 4 units down and 3 to the left then reflected over the y-axis. The figures are

Answers

Answer:

Congruent and similar

Step-by-step explanation:

because you did not change anything about the shape that shape is still the same size and shape just in a different spot

B. Congruent but not similar because translation and reflection does not change the size or shape of the figure

Select all statements that show correct reasoning for finding 15 ÷ 2/3. You must choose two answers.

1) Multiply 15 by 2, then divide by 3.

2)Multiply 15 by 3, then divide by 2.

3)Multiply 15 by 4s, then multiply by 2.

4)Multiply 15 by 3, then multiply by 1/2.

Answers

Answer:

2; 4

Step-by-step explanation:

Both work out in the end.

Express each rate below as a unit rate.
975 calories in 13 brownies

Answers

Answer:

Step-by-step explanation:

975/13=75

75 calories per brownie

find the measure of angle a.

Answers

Answer:

<A=50

Step-by-step explanation:

85+x+55+x+50=180

2x+190=180

2x=180-190

2x=-10

x=-5

A=x+55

A=-5+55

A=50

A< 50 because i said so

Work out the area of a rectangle with base, b = 20mm and perimeter, P = 60mm.
b
The diagram is not drawn to scale.​

Answers

base+perimeter

20mm+60mm

=80mm

Find the 12" term of the arithmetic sequence whose common difference is d=8 and whose first term is a = -2.

Can someone please help me?

Answers

Answer:

86.

Step-by-step explanation:

nth term = a1 + d(n - 1) so here we have:

12the term = -2 + 8( 12 - 1)

= -2 + 88

= 86.

solve for x,given the circle
below

with m

Answers

Answer:

x=8 is correct answer

Step-by-step explanation:

when you put 8 then as shown in figure it is about 90 degree angle so x=8 is correct

Solve this system of equations:
y = x - 4
y = 6x - 9
Show your work in the text box below.
also Write your answer as an ordered pair.

Answers

Answer:

y=-3 x=1 (1,-3)

Step-by-step explanation:

y=x-4

y=6x-9

y+4=x

y+9=6x

difference = 5

x+5=6x

x=1

y=-3

1,-3

In the ordered pair of numbers (-2,8) the number - 2 is called the
and the number 8 is called the

Answers

Answer:

x co-ordinate and y co-ordinate

The height of a cylinder is 18 cm. The area of the base of the cylinder is 25 ㎠. Find V.

Answers

Its 150 cause V is 1/3*Area*height

roshaun has saved 150$ and continues to add 10$ each week. Keegan starts with 0$ and saves 25$ each week. In how many weeks will they have the same amount of money?​

Answers

Answer:

10 weeks

Step-by-step explanation:

Create a system of equations demonstrating Roshaun and Keegan's savings.

Roshaun: 150 + 10x  Keegan: 0 + 25x  

Let x equal the number of weeks they save their money.

In order to calculate how many weeks they will have the same amount of money saved, we need to set their equations equal to each other and solve for x.

150 + 10x = 25x

Subtract 10x from both sides of the equation.

150 = 15x

Divide both sides of the equation by 15.

x = 10

In 10 weeks, Roshaun and Keegan will have the same amount of money.

(10 POINTS) answer ASAP if you can

Answers

I think that the answer is R
I think it’s R I have the same prb

What is m Angle Q B O? 5° 9° 12° 24°

Answers

12 cant be 5 9 or 24 so go with 12

Answer:

12

Step-by-step explanation:

45 degrees and 6 find each variable
Will mark brainliest

Answers

Answer:

[tex]x = y = 3\sqrt{ 2[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find x and y

The given triangle has 45 degrees as one of its angles, and it is also a right angle triangle.

For this kind of parameter, the opposite = the adjacent

i.e. x = y

Apply Pythagoras theorem

[tex]x^2 + y^2= 6^2[/tex]

Substitute x for y

[tex]y^2 + y^2= 6^2[/tex]

[tex]2y^2= 36[/tex]

Divide by 2

[tex]y^2 = 18[/tex]

Take square root

[tex]y = \sqrt{18[/tex]

[tex]y = \sqrt{9 * 2[/tex]

Split

[tex]y = \sqrt{9} *\sqrt{ 2[/tex]

[tex]y = 3*\sqrt{ 2[/tex]

[tex]y = 3\sqrt{ 2[/tex]

[tex]x = y = 3\sqrt{ 2[/tex]

The equation c = 8n models the total cost, c, for n movie
tickets.

a. Graph the relationship modeled by the equation. Be
sure to label the axes.

b. How does the graph show the cost per ticket? How is
this cost related to the equation?

Answers

Answer:

8 would be A and b would be 4

PLS PLS PLS PLS PLS PLS PLS HELP ME OUT THERE IS A PHOTO ATTACHED PLS ITS EASY I THINK FOR U PLS

Answers

No. 1.5 is a whole number while 1.5% is a percent

Ms. Reiger’s students found a total of 16 bird feathers. The line plot shows the lengths, in inches, of the bird feathers found by the students
Look at the line plot, and then select the two correct statements about the bird feathers.
The difference between the lengths of the shortest feather and the longest feather is 318 inches.
A. The difference between the lengths of the shortest feather and the longest feather is 238 inches.
B. The combined length of the two longest feathers is 828 inches.
C. The combined length of the shortest feather and the longest feather is 738 inches.
D. The combined length of the shortest feather and the longest feather is 618 inches.

Answers

Answer:

i need the picture to answer the question, sorry. but if you give me the picture im happy to answer it

Step-by-step explanation:

can you share 1 one with 6 groups

Answers

Answer:

it all comes down to what it is! if it's like big bag, and how big the groups are, then you would have to estimate! if it's like a single pack on candy then no

which expression is equivalent to this expression?

thank you :)

Answers

Answer:

C. -4x - 1

Step-by-step explanation:

[tex]-\frac{1}{2}(8x+2)[/tex]

Distribute the term outside of the parenthesis, Multiply each term in the parenthesis by the term outside (do not forget to include the negative sign when multiplying);

[tex](-\frac{1}{2}(8x))+(-\frac{1}{2}(2))[/tex]

Simplify,

[tex]-4x - 1[/tex]

ILL GIVE BRAINLIEST TO WHO EVER CAN ANSWER MY LAST QUESTION

Answers

What’s your question ?

Corresponding Angles are congruent.
Which angle corresponds with 47?
H
«[?]
4748
45/46

Answers

Answer:

Angle 1 is corresponding angle with Angle 7.

Hope this will help you.

Answer:

Angle 1

Step-by-step explanation:

When two parallel  lines are crossed by traversal  line, the angles in matching corners are called corresponding angles

Angle 7 and angle 1  are corresponding

(10p+10)+(8p−1) factored?

anyone know, please, i need this for school..

Answers

Answer:

the answer is

9(2p+1)

Answer:

18p +9

Step-by-step explanation:

Because you add the numbers in front of the p's (10+8) and then you add 10 plus -1, which is 9.

Hope this helps! Have a good day and remember to be tiger fierce!! :)

The inverse of G(x) is a function.
A. True
. B. False

Answers

Answer:

The answer of this question is FALSE.

It’s Totally false lol
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