Scottie is testing to see if people who go to a lot of movies do better than average on the Verbal SAT (which has a mean of 500 and a standard deviation of 100 and is normally distributed). She has a sample of six people. What kind of hypothesis testing do we use

Answers

Answer 1

Answer:

The kind of hypothesis testing we can use is z-test for means

Step-by-step explanation:

Given that;

sample mean x" = 500

standard deviation σ = 100

sample size n = 6

What kind of hypothesis testing do we use?

There are two cases where z-test can be use;

first, when we know the population standard deviation or variance

and secondly, when the population size is more than 30.

So from the question, the population standard deviation was given, which is 100.

Since we know the S.D, it meets the first condition.

Therefore, The kind of hypothesis testing we can use is z-test for means


Related Questions

The bakers at Healthy Bakery can make 310 bagels in 2 hours. How many
bagels can they bake in 20 hours? What was that rate per hour?

Answers

Answer:

The number of bagels made in 20 hours is 3100 bagels, at the rate of 155 bagels per hour.

Step-by-step explanation:

Given;

number of bagels in 2 hours = 310 bagels

The rate per hour is calculated as;

[tex]Rate = \frac{310 \ bagels}{2 \ hours}\\\\Rate = 155 \ bagels \ per \ hour[/tex]

In 20 hours, the number of bagels made is calculated as;

Number of bagels = 155 (bagels/hour) x 20 (hour)

                               = 3100 bagels.

Therefore, the number of bagels made in 20 hours is 3100 bagels, at the rate of 155 bagels per hour.

Find the size of the angle a.

Diagram not drawn accurately​

Answers

Answer:

45°

Step-by-step explanation:

Since,

3a + a + 2a + 2a = 360°

ALGEBRA II // MODULE 1
FUNCTIONS AND INVERSES - 1.2
1.2
READY, SET, GO!
Name
Period
Date
READY
Topic: Solving for a variable
Solve for x.
1.
17 = 5x + 2
2. 2x² – 5 = 3x2 – 12x +
31
3. 11 = 2x + 1

Answers

Answer:

1. x = 3

2.x = 6

3. x = 5

I hope this helps you :D

To solve for variables, we start by isolating the variable term and then solve for the variable. The values of x in the given equations are 3, 6 and 5, respectively.

Equation (1)

[tex]17 = 5x + 2[/tex]

Collect like terms

[tex]5x = 17 -2[/tex]

[tex]5x = 15[/tex]

Divide both sides by 5

[tex]x =3[/tex]

Equation (2)

[tex]2x^2 - 5 = 3x^2 - 12x + 31[/tex]

Collect like terms

[tex]3x^2 - 2x^2 - 12x + 31 +5=0[/tex]

[tex]x^2 - 12x + 36=0[/tex]

Expand

[tex]x^2 - 6x - 6x + 36=0[/tex]

Factorize

[tex]x(x - 6) - 6(x -6)=0[/tex]

Factor out x - 6

[tex](x - 6)(x -6)=0[/tex]

This means that:

[tex]x -6=0[/tex]

Solve for x

[tex]x = 6[/tex]

Equation (3):

[tex]11 = 2x + 1[/tex]

Collect like terms

[tex]2x = 11-1[/tex]

[tex]2x = 10[/tex]

Divide both sides by 2

[tex]x =5[/tex]

Hence, the values of x in the given equations are 3, 6 and 5.

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Which of the following situations are equal to 20%?
Select all that apply.
A) 5 out of 25
B) 8 out of 40
C) 2 out of 8
D) 16 out of 80
E) 12 out of 24

Answers

B because 8 divided by 40 multiply by 100 equal 20

Answer:

A and B

Step-by-step explanation:

you divide 5 and 25

like this 5/25 and then multiply by 100

For B you do the same thing but is 8/40 and then you multiply by 100

geometric mean of 384 and 6

Answers

Answer:

48 is the geometric mean of 384 and 6

48 is the meaning of geometric

Question 5
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
6
11
X

Answers

Step-by-step explanation:

a^2 + b^2 = c^2

a = 6

b = x

c = 11

6^2 + b^2 = 11^2

36 + b^2 = 121

b^2 = 121 - 36

b^2 = 85

Find the square root of both sides.

b = 9.22

Megan and noah were splitting nachos. Megan ate 1/4 of the nachos and noah ate 5/12 of the nachps. What fraction of the nachos did they eat

Answers

Answer:

3/5

Step-by-step explanation:

Answer:

They ate 6/12 of the nacho

Step-by-step explanation:

hope that helps

What is the inverse of -1/2x+5

Answers

sry i can’t help that much 1-562 star rating but it doesn’t seem like

What is the solution to Three-fourths a greater-than negative 16?

a greater-than negative 21 and one-third

a less-than negative 21 and one-third

a greater-than 21 and one-third

a less-than 21 and one-third
will give brainliest

Answers

Answer:

a greater-than negative 21 and one-third

Step-by-step explanation:

3/4a>-16

divide both sides by 3/4

a>-16*4/3

a>-64/3

a>-21 1/3

so then

a greater-than negative 21 and one-third

Good luck on the test.

what is the P.O.I for 5.2x-y=4 1/2x+y=1

Answers

Answer:

X = 4/13

Y = - 5/13

Step-by-step explanation:

Since all of the equalities are true, the ordered pair is the solution of the system

how many cells are in the human body ​

Answers

Answer:

There should be 37.2 trillion, however this is not a finite number and there might be more or less depending on the person.

Step-by-step explanation:

11. Which of the following points is on the
line 3x - 5y=1
A. (1, 2)
B. (2, 1)
C. (3/5, 1)
D. (2,3)

Answers

a

Step-by-step explanation:

because it's is very important

The answer is B. If you plug in 2 for x and 1 for y you’ll get 1.

3(2)-5(1)=1
6-5=1
1=1 (true statement)

What’s the answer please??

Answers

Answer:

your answer will be x=1.13504161

9514 1404 393

Answer:

  {-1.47, 1.14}

Step-by-step explanation:

The solution to ...

  ax^2 +bx +c = 0 is ...

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Filling in the values a=3, b=1, c=-5, the solutions are ...

  [tex]x=\dfrac{-1\pm\sqrt{1^2-4(3)(-5)}}{2(3)}=\dfrac{-1\pm\sqrt{61}}{6}\\\\\boxed{x\approx\{-1.47,1.14\}}[/tex]

What is the value of the expression below when w=2 8w2+2w+8

Answers

Answer:

44?? maybe

Step-by-step explanation:

On a treasure map, a X is placed at point (9, -7). if the pirates are currently on point (9,3), how many units away are they?​

Answers

Answer:

They are 10 units away from the treasure

Step-by-step explanation:

Notice that the points (9, -7) and (9, 3) are both located at the same x-value (9) while their y-values are in one case 3 units above the x-axis, and in the other 7 units BELOW the x-axis. Therefore thy differ by 3 - (-7) units , which totals 10 units.

The answer to this question is 10 units away

A triangle has vertices at (-2,-3),(4, -3), and (3,5). What is the area of the triangle?

Answers

Answer:

this triangle is ABC with A(-2 ; -3), B(4; - 3) and C(3;5)

=> [tex]AB=\sqrt{(4-(-2))^{2}+\sqrt{(-3 -(-3))^{2} } }=\sqrt{6^{2} }=6\\\\AC=\sqrt{(3-(-2))^{2}+(5-(-3))^{2} }=\sqrt{5^{2}+8^{2} }=\sqrt{89}\\\\BC =\sqrt{1^{2}+8^{2} }=\sqrt{65}[/tex]

using Heron theorem, we have:

[tex]S=\sqrt{p(p-AB)(p-AC)(p-BC)}\\\\S=\sqrt{(\frac{6+\sqrt{89}+\sqrt{65} }{2})(\frac{\sqrt{89}+\sqrt{65}-6 }{2} )(\frac{6+\sqrt{65}-\sqrt{89} }{2})(\frac{6+\sqrt{89}-\sqrt{65} }{2}) }\\\\S=24 \\\\[/tex]

with S is the area of the triangle

       [tex]p=\frac{AB+AC+BC}{2}=\frac{6+\sqrt{89}+\sqrt{65} }{2}[/tex]

Step-by-step explanation:

Area of the triangle with given vertices is equals to 24 square units.

What is Area?

"Area is the surface which represents the total space occupied by any two dimensional object."

What is triangle?

"Triangle is a  polygon which has three sides and three vertices. Sum of all the interior angles of a triangle is equals to 180°."

Formula used

In ΔABC , A(x₁ , y₁) , B(x₂, y₂) and C(x₃, y₃)

Area of a triangle =  [tex]\frac{1}{2} [ x_{1} (y_{2} -y_{3} + x_{2} (y_{3} -y_{1} +x_{3} (y_{1} -y_{2} ]\\[/tex]

According to the question,

Let ABC be the triangle with A(-2,-3) , B(4,-3) and C(3,5)

Area of the triangle = [tex]\frac{1}{2}[/tex] [ -2(-3-5) + 4(5+3) +3 (-3 +3)]

                                 = [tex]\frac{1}{2}[/tex] [ 16 +32 + 0]

                                 = 24 square units

Hence Area of the triangle with given vertices is equals to 24 square units.

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What is the inverse of 2x^2

Answers

Answer:Interchange the variables.

x

=

2

y

+

2

Solve for  

y

.

Tap for more steps...

y

=

x

2

1

Solve for  

y

and replace with  

f

1

(

x

)

.

Tap for more steps...

f

1

(

x

)

=

x

2

1

Step-by-step explanation:

You are traveling at 75 km/hr to make it to school on time. You have to be at school in .25 hour or you will be late. You have 15 km to travel. Will you make it to school on time?

Answers

Answer:

Yes

Step-by-step explanation:

.25 hour = 1/4 hour

75 * 1/4 = 18 3/4

You travel 18 3/4km in 1/4 hr(.25 hr).

Riley used the distributive property to find the product of 37 and 24. Which expression could Riley have used to find the product of the two numbers?


20(30)+7


37(20)+4


24(30+7)


30(24+7)

Answers

Answer:

Step-by-step explanation:

The second one

Answer:

distributive property

Step-by-step explanation:

u should be use the 2nd one...

37(20)+7

The following sample data are from a normal population: 10, 8, 12, 15, 13, 11, 6, 5. (a) What is the point estimate of the population mean? 8.75 Incorrect: Your answer is incorrect. (b) What is the point estimate of the population standard deviation? (Round your answer to three decimal places.) (c) With 95% confidence, what is the margin of error for the estimation of the population mean? (Round your answer to one decimal place.) (d) What is the 95% confidence interval for the population mean? (Round your answer to one decimal place.) to

Answers

Answer:

10 ; 3.464 ; 2.4 ; (7.6, 12.4)

Step-by-step explanation:

Given the data :

10, 8, 12, 15, 13, 11, 6, 5

Point estimate of population mean :

m = ΣX / n

n = sample size = 8

(10+8+12+15+13+11+6+5) / 8

= 10

Point estimate of population standard deviation :

Sqrt(Σ(X - m)^2 / n-1)

((10-10)^2 + (8-10)^2 + (12-10)^2 + (15-10)^2 + (13 - 10)^2 + (11-10)^2 + (6-10)^2 + (5-10)^2) / 7

= sqrt(84/7)

= 3.464

Margin of error at 95%:

Zcritical * sqrt(sd²/n)

Zcritical at 95% = 1.96

1.96 * sqrt(3.464^2 / 8)

Margin of Error = 2.4

Confidence interval :

m ± Z(s/sqrt(n))

10 - 1.96(3.4634/sqrt(8)) = 7.6

10 - 1.96(3.4634/sqrt(8)) = 12.4

On an airplane flight, Steve watch the display that showed the number of minutes since the flight to cough and the number of miles away from the destination. He recorded various points and fit the line why equals 2426-8x To the data, Where x is The number of minutes flying and why is the number Have miles from the Have miles from the destination. According to the model, how far was Steve from his destination after 120 minutes of flying?destination A. 960 miles B. 2410 mikes C. 1466 !miles D. 3386 miles

Answers

Answer:

3386 miles was her destination......

What is the square root of nine

Answers

Answer: the square root of 9 is 3.

Simplify.
Rewrite the expression in the form 4^n.
4^8
4^3

Answers

1024 i hope its the answer

Fill in the missing
number to make the
number sentence
true.
| 148 +___= 179

Answers

Answer: 31

Step-by-step explanation:

179 - 148 = 31

The answer is 31.

Step-by-step explanation:

179 -- 148 = 31.

148 + 31 = 179

How is a constant term different from a variable term
for an expression that represents a real-world situation?

Answers

Answer:

Constants are the terms in the algebraic expression that contain only numbers. That is, they're the termswithout variables. We call them constants because their value never changes, since there are no variablesin the term that can change its value.

Step-by-step explanation:

Use the information and diagram to answer the following question.
An airplane makes a 20° angle of elevation from the runway when it takes off.
The airplane shown is 2.500 feet along the ground from its take-off point.
Take-off point
20
2500 ft
Note: The figure is not drawn to scale.
At what height, h, is the airplane? Round the answer to the nearest foot. Show
your work.

Answers

Answer:

910 ft

Step-by-step explanation:

This question sets up the equation tan20°=x/2,500. Solve for X by multiplying 2,500 on both sides giving you x = 2,500tan20°. Finally, plug that in a calculator and you get 909.92. Round it to the nearest foot and you get 910

The required height where the plane is given as 910 ft, as of the given condition.

Given that,
An airplane makes a 20° angle of elevation from the runway when it takes off. The airplane shown is 2500 feet along the ground from its take-off point.

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.

here,
base length  = 2500
Angle of inclination  = 20°
let the perpendicular height = h
Now,
tan20° = h / base
h = 2500 [tan20°]
h = 910 ft

Thus, the required height where the plane is given as 910 ft, as of the given condition.

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There are 16 ounces in one pound. If 3.4 pounds of beef cost $4.95, what is the cost per ounce, to the nearest cent?


$0.09

$0.31

$1.05

$1.46

$10.99

Answers

$0.09 per ounce Because there are 16 ounces in a pound, 3.4 pounds is 3.4(16) = 54.4 ounces. To find cost per ounce, divide the cost in dollars by the number of ounces

Plz help me with the problem

Answers

Answer:Step-by-step explanation:

Just tell me the problem

Rational equations intro (Khan Academy)

Answers

Answer:

y = 17/7

Step-by-step explanation:

Share 56 sweets in the ratio 2 : 5.

Answers

Answer is 16:40

Add up the parts of the sweets so 2+5=7.
Then with the total amount (56)/7=8.
8x2= 16
8x5=40

56 sweets can be shared in the ratio 2 : 5 as 16 sweets and 40 sweets.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, Share 56 sweets in the ratio 2 : 5.

First share is = (2/2+ 5)×56.

= (2/7)×56.

= 16.

And the second share is (5/2 + 5)×56.

= (5/7)×56.

= 40.

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