In an experimental treatment, a random individual scores 51 on a measurement. People in general are normally distributed with a mean of 37 and a standard deviation of 7. The researcher predicts that the treatment will create an effect on the subject, but does not specify if the measurement will increase or decrease. Using a 5% significance level (p < .05), what conclusions should this researcher make about the treatment. Utilize the five-step hypothesis testing process and show all of your work.

Answers

Answer 1

Answer:

There is significant evidence that treatment will create effect on the subject. Hence We reject H0

Step-by-step explanation:

H0 : μ = 37

H1 : μ ≠ 37

μ = 37 ; σ = 7 ; sample size, x = 51 ; sample size, n = 1

Decision region :

If P value < α ;

Reject H0

Using the Z test statistic :

Zstatistic = (x - μ) ÷ (σ / √n)

Zstatistic = (51 - 37) ÷ (7 / 1)

Zstatistic = 14 ÷ 7

Zstatistic = 2

Obtaining p value from Zstatistic using the p value calculator ;

Zscore = 2 ; 2-tailed test, significance level = 0.05

P value = 0.0455

Zcritical at α = 0.05 for a 2 - tailed test = 1.96

0.0455 < 0.05

There is significant evidence that treatment will create effect on the subject. Hence We reject H0


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Super Cars Rental Company charges $40 per day and $1.80 per mile to rent a car. ABC Rental Company charges $25 a day and $3 per mile. At how many miles is the cost the same for both companies?

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Answer:

Step-by-step explanation:

write an expression to show how much longer the round trip to Las Vegas id than the round trip to cheyenne... Cheyenne round trip is 202 and Las Vegas round trip is 1498​

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Step-by-step explanation:

PYTHAGOREAN THEORM PLEASE HELP ME
Would the three squares below join together to make a right triangle? Why or why not? picture shows squares

Answers

Answer:

Yes.

The first has an area of 9, so each side is three.

The second has an area of 16, so each side is four.

Each side of the third square is given as 5.

So the triangle has sides of 3, 4, and 5.

3²+4²=5²

9+16=25

25=25 It works given the Pythagorean theorem.

Step-by-step explanation:

Yes.

The first has an area of 9, so each side is three.

The second has an area of 16, so each side is four.

Each side of the third square is given as 5.

So the triangle has sides of 3, 4, and 5.

3²+4²=5²

9+16=25

25=25 It works given the Pythagorean theorem.

Which variable expression represents the phrase "the quotient of 5 times a number and 2"

Answers

Answer:

5n/2

Step by Step Explanation:

Well, 5 times a number (the number is a variable so you just put it next to the 5) and 2 so you are dividing by 2 and the fraction bar is the same as division so 5n/2

Math answer:
3(3+2)-s=38

Answers

the answer is s=-23.
if not i’m sorry

Answer:

s = negative23 ( -23)

Step-by-step explanation:

3(3 +2 ) - s = 3(5) - s

15 - (-23) = 38

hope this helped!

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Answers

Step-by-step explanation:

3x+2x=180

5x=180

x=36°

-2+{3+[4+2-(-3)]-5+8)}​

Answers

Answer:

13

Step-by-step explanation:

−2+3+4+2−(−3)−5+8

=1+4+2−(−3)−5+8

=1+6−(−3)−5+8

=1+9−5+8

=10−5+8

=5+8

=13

38.5 is what percent of 72?​

Answers

Answer:

53.47

Step-by-step explanation:

Answer:

53.47%

Step-by-step explanation:

1.125 inches of rain fell in 2.5 hours. How many inches of rain fell per hour?

Answers

Answer:

0.45 in per hour

Step-by-step explanation:

1.125/2.5 = 0.45 in per hour

Step-by-step explanation:

i think u divide 1.125 by 2.5 so it gives 0.45

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Answers

Function a has a rate of change of 2 and function b has a rate of change of .75. So function a has a greater rate of change.

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Answers

Answer:

[tex]d(n) = - ( {7}^{n - 1} )[/tex]

make a graph on f(x)=−3/2(x+1)(x−5)

Answers

Answer:

explanation below

Step-by-step explanation:

f(x) = −3/2(x+1)(x−5) = -3/2 (x²-4x-5) = -3/2 (x²-4x+4-9) = -3/2 ((x-2)² - 9)

f(x) = -3/2 (x-2)² + (-3/2)*(-9) = -3/2 (x-2)² + 13.5

There are points to be referenced for the graph:

vertex (2 , 13.5)     axis of symmetry: x = 2

roots: (-1 , 0) (5 , 0)

-3/2 : curve downward

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Answers

Answer:

7.2, which equals to 7 1/2

Step-by-step explanation:

Answer:

7 2/10

Step-by-step explanation:

look at the pic for the steps

3/8 + 1/8 - 1/3 + 1/4=

Answers

3/8+1/8= .5
.5-1/3=.1666
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Find the first 3 terms of arithmetic sequence if t5=-154 and t9=-274. find t1, t2, t3

Answers

Answer: t1 = -34; t2 = -64; t3 = -94

d is the distance between numbers (d > 0)

we have:

t5 = t1 + 4d = -154

t9 = t1 + 8d = -274

we have the equations:

t1 + 4d = -154

t1 + 8d = -274

<=> t1 = -34

      d = -30

with t1 = -34 and = -30 => t2 = -34 - 30 = -64

                                          t3 = -64 - 30 = -94

Step-by-step explanation:

Which image shows a reflection of the figure below? quick!!!!

Answers

The third one because its 2 away from the y axis as the other ones

Answer:

a

Step-by-step explanation:

Which of these values for x does NOT make the inequality true?
6x + 3 <33

Answers

Answer:

The answer would be x <4

Please help me with this question please help me I beg you

Answers

Step-by-step explanation:

Given

f(x) = 5 / 2x - 1

f^-1( x) = ?

Let

y = f(x)

y = 5/2x - 1

Interchanging the roles of x and y we get

x = 5/2y - 1

2y - 1 = 5/x

2y = 5/x - 1

y = (5/x - 1)/ 2

f^-1(x) = ( 5/x - 1) / 2

Hope it will help :)

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Answers

He will have 250 dollars

Answer:

250

Step-by-step explanation:

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Answers

Answer:

A "Positive Integer"

Step-by-step explanation:

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Answer:

A

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

A = 8/9

Step-by-step explanation:

Area of Rectangle = Length (Width)

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A = (4/9) (2/1)

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can anyone solve this for me?d/dx x/root (1+x^2)
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Answers

using quotient formula

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Answer:

373737373737373383847484

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is written in this form, we know that it's a linear function.

Another way to tell that it's a linear function is

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Enter the value for the variable x in the equation:
X - 7 = 3

Answers

Answer:

x=10

Step-by-step explanation:

10-7=3

Answer:

I think is 10 cause 10 - 7 = 3

what is the slope of the line that passes through the point -1 negative 10 + negative one negative to write your answer in simplest form what is the answer ​

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Point\ 1: -1, -10[/tex] --- [tex](x_1,y_1)[/tex]

The second point is incomplete. So, I will make assumptions

[tex]Point\ 2:1, -4[/tex] -- [tex](x_2,y_2)[/tex]

Required

Calculate the slope (m)

This is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{-4 - (-10)}{1 - (-1)}[/tex]

[tex]m = \frac{-4 +10}{1 +1}[/tex]

[tex]m = \frac{6}{2}[/tex]

[tex]m =3[/tex]

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Use the circle below to find the following measures.
Arc QT = and

Answers

Answer:

m(arc QT) = 142°

m(arc STR) = 314°

Step-by-step explanation:

"Measure of intercepted arc is double of the inscribed angle"

From the picture attached,

Measure of inscribed angle QST = 71°

Therefore, measure of arc QT = 2 × Measure of angle QST

                                                  = 2(71°)

                                                  = 142°

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m(arc STR) = 360° - 46°

                  = 314°

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Answers

Answer:

This is nothing related to real life. The only thing is it helps with trigometry, programming shapes, and so on

Step-by-step explanation:

Please help need quickly

Answers

The answer for number 1 is 1.72. The answer for number 2 is 4.83.

So for number one, the first thing you need to do is determine how many sides are on the first shape. Since it is a pentagon, and one pentagon has 5 sides, then you use the following formula to determine the volume of a[tex]V = \frac {1}{4} \times \sqrt{5 \times (5 +2 \times \sqrt {5})} \times (10)^{2} \times 10[/tex] pentagon: [tex]\alpha = \frac{1}{4} \times \sqrt[]{5(5+2 \sqrt[]{5}) \alpha ^{2} }[/tex] And in this case, the area would be 1.72, because if you insert the side lengths, the equation would look like this: [tex]V = \frac {1}{4} \times \sqrt{5 \times (5 +2 \times \sqrt {5})} \times (10)^{2} \times 10[/tex] , which if you solve this equation, then you will end up with the answer of 1.72.

For number two, the first thing you need to do is determine how many sides are on the second shape. Since it is an octagon, and the prefix oct means 8, the number of sides on the shape is 8. If the perimeter is 64, and there are 8 sides, you can divide 64 by 8 to get 8. The equation to solve for the area should look like this: [tex]V = 2(1 + \sqrt{2}) \times s^{2} \times h[/tex]. Now all you need to do is insert the side lengths to the proper places. It should then look like this: [tex]V = 2(1 + \sqrt{2}) \times 8^{2} \times 8[/tex], after you solve the equation, you should end up with 4.83.

Find the area of the figure by subtraction.

Answers

10*10-2*3/2-4*3/2-2*3/2-2*3/2-5*2-6*2/2-5*2-3*2/2

100-3-6-3-3-10-6-10-3

100-15-29

100-44

56

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