A Statistics class from a high school with 4,000 students took a survey of the first 35 students who walked through the front door of the school, and asked how far they traveled to school that day. The class plans to run a one-sample t-test to determine if the average travel distance has increased since last year. The students notice that the sample data are right skewed. Which conditions have been satisfied for the t-test

Answers

Answer 1

Answer:

Independent of the unknown population standard deviation σ

Step-by-step explanation:

It is one tailed test so the data is right skewed.

The t distribution approaches the standard normal distribution as the number of degrees of freedom or the sample size becomes larger.

Here the number of degrees of freedom in = n-1= 35- 1= 34

This is the only parameter of the t distribution.

The important property of t distribution is that it is independent of the unknown population standard deviation σ . It is therefore applied to test hypotheses about the mean of the population irrespective of what the standard deviation may be.


Related Questions

the slope of the line joining points (3 ;2) and (0;a) is-1 determine the value of a​

Answers

Given:

The slope of the line joining points (3,2) and (0,a) is -1.

To find:

The value of a.

Solution:

If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], the slope of a line is:

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

The slope of the line joining points (3,2) and (0,a) is -1. So,

[tex]\dfrac{a-2}{0-3}=-1[/tex]

[tex]\dfrac{a-2}{-3}=-1[/tex]

Multiply both sides by -3.

[tex]a-2=-1(-3)[/tex]

[tex]a-2=3[/tex]

[tex]a=3+2[/tex]

[tex]a=5[/tex]

Therefore, the value of a is 5.

If tan θ=1/4 and cos θ≤0, find the exact value of sin x

If you can answer this soon that would be great.

Answers

Answer:

Step-by-step explanation:

Tan(theta) = Sin(theta) / cos(theta)

1/4 = sin(theta) / sqrt(1 - sin^2(theta) )    Cross multiply

sqrt(1 - sin^2(theta)) = 4*sin^2(theta)      Square both sides.

1 - sin^2(theta) = 16 * sin^4 (theta)         Transfer the left side to the right side.

0 = 16 sin^4(theta) + sin^2(theta) - 1

Use the quadratic formula to find a value for sin^2(theta)

a = 16

b = 1

c = - 1

I'll leave solving the quadratic to you.

There are two answers

sin^2(theta)= .22069

The other root is - 0.28 which you cannot use.

Sin(theta) = +/- 0.4698

Cos(theta) is < 0 in quads 2 and 3

So sin(theta) is positive in quad 2

and sin(theta) is minus in quad 3

Who’s can help me with this, it is to hard

Answers

Answer:

x = 10

MB = 16

CM = 16

CB = 32

Step-by-step explanation:

Since it's the mispoint

2x - 4 = x + 6

Subtract x from both sides

x - 4 = 6

Add 4 to both sides

x = 10

MB = 2x - 4

MB = 20 - 4

MB = 16

CM = x + 6

CM = 16

CB = 16 + 16

CB = 32

Is the relation a function? Why or why not?

Answers

Yes, no vertical line passes through two graphed points

using a positive and negative integer, write an addition expression that equals -9​

Answers

Answer:

-13 + 4

Step-by-step explanation:

For the sum to be negative, the absolute value of the negative integer has to be 9 more than the positive integer. There are an infinite number of equations, but here is one:

-13 + 4

negative x plus 1 is less than 5

Answers

Answer:

-x+1 < 5

Step-by-step explanation:

Not sure what the question is?

Answer:

-x + 1 < 5

Step-by-step explanation:

negative x plus 1 is less than 5

-x + 1 < 5

-TheUnknownScientist

Can someone help a friend

Answers

Answer:

acute triangle

Step-by-step explanation

MRK ME BRAINLIEST PLZZZZZZZZZZZZZZZZZZZZ

If the door to the library is at (2, 4), the door to the mall is at (8, 2), and one square unit equals one square mile, the approximate distance between the library and the mall is miles, when measured door to door.

Please help best answer will get brainly

Answers

Answer:

https://ihomeworkhelpers.com/mathematics/question512843765

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZZZZ

that link is not fake its is a homework helper site if it doesn't works let me know

Answer: 126.66 m²

Step-by-step explanation: The pertinent area formula is a = πr², where r is the radius.  here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²

What does 5-10n equal ?

Answers

Answer in factor form:
Factor 5 out of 5−10n.
5(1-2n)

Answer for finding the roots(zeros)
N=1/2

1 mark question plese give me answer​

Answers

110 is the answer because

Answer:

x = 110

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x° is an exterior angle of the triangle, then

x = 60 + 50 = 110

what is the first step to solving this equation?
-5+6=4
a. subtract 6 from both sides
b. multiply both sides by 5
c. divide both sides by -5
d. add 6 to both sides

Answers

Answer:

a. subtract 6 from both sides

Step-by-step explanation:

Given the algebraic expression;

-5c + 6 = 4

First of all, we would subtract 6 from both sides. This would eliminate the "6" on the left side.

-6 - 5c + 6 = 4 - 6

-5c = -2

5c = 2

Dividing both sides by 5, we have;

c = 2/5

predict the next number in the table. cycle: 1,2,3,4,5. people told: 1,3,9,27,?​

Answers

The answer is 81 the right Column is multiplying by 3

what is the x in x/5 +1 = 7

Answers

X=30 and I know because 30 divided by 5 is 6 plus 1 equals 7

Maggie bought c CDs for $12 each, b books for $7 each, and a purse costing $24.

a. Write an expression to show the total amount of money Maggie spent.

b. If Maggie bought 4 CDs and 3 books, how much money did she spend?

Answers

Step-by-step explanation:

Given that,

Maggie bought c CDs for $12 each, b books for $7 each, and a purse costing $24.

(a) Cost of c CDs = 12c

Cost of b books = 7b

Cost of p purse = 24p

Total amount = 12c+7b+24p

(b) Cost of 4 CDs = 12(4) = $48

Cost of 3 books = 7(3) = $21

Hence, this is the required solution.

Someone please help me, this test determines if I pass or not.

Answers

Answer:

Your answer is C :)

27. A bag contains 2 red and 4 yellow apples. Brandon selects 2 apples at random. What
is the probability that he has chosen 2 yellow apples?

Answers

Answer:12/30

Step-by-step explanation:

Total apple =6

Yellow apples = 4

4/6

3/5

(4/6)*(3/5)= 12/30

Start at the origin. Move 2 units right and 8 units up. What is the ordered pair for this point? pls help ASAP​

Answers

Answer: (2,8)

Step-by-step explanation:

The origin is the point (0,0), so when you move two units right you land on the x-value of 2. From there you then add 8 units, putting you at the y-value of 8. Therefore, you end with the point (2,8) after this translation.

Options are:

X=2, y=3

X=3, y=2

X= -2, y=3

X=4, y=8

Answers

Step-by-step explanation:

2x - 5 = y - 5

2x = y

x = y/2

y - 3 = x + 1

Substitute the value of x here,

y - 3 = [tex]\rm{\dfrac{y}{2} + 1}[/tex]

y - 3 = [tex]\rm{\dfrac{y + 2}{2}}[/tex]

2y - 6 = y + 2

y = 8

Now, x = 8/2

x = 4

So, go for D part, it is the correct answer.

Good Night/Day !

Answer:

x = 4, y = 8

Step-by-step explanation:

For the triangles to be congruent by the HL theorem

Then the hypotenuse and legs must be congruent , that is

x + 1 = y - 3 → (1)

2x - 5 = y - 5 → (2)

Subtract (1) from (2) term by term to eliminate y

2x - x + (- 5) - 1 = y - y + (- 5) - (- 3) , that is

x - 6 = - 2 ( add 6 to both sides )

x = 4

Substitute x = 4 into either of the 2 equations and solve for y

Substituting into (1)

4 + 1 = y - 3

5 = y - 3 ( add 3 to both sides )

8 = y

find the area of this parallelogram with the measurements 5.2cm and 8.4cm​

Answers

Answer:

43cm square

Step-by-step explanation:

A= bh

A=8.4cm x 5.2cm

A=43.68cmsqr

The expected annual demand for the newly approved drug Prisdol is 50,000, but there is a lot of uncertainty. A plant to produce the drug will be built at a cost of $16 per unit of capacity, which is a one-time expense. In addition, there is an annual maintenance cost of $0.40 per unit of capacity. The production cost per unit is $0.20. The drug’s selling price will be $3.70/unit. Suppose that Z denotes the random demand for the drug in a year, and suppose that a plant is built with an annual capacity of 45,000. No inventory will be built up; the company will produce only what is needed for demand in a year, and no more than capacity. Select the least accurate statement regarding elements of a model for this setting.
1 The cost to build the plant is 45,000 * $16.
2 The annual maintenance cost is 45,000 * $0.40.
3 The sales revenue in a year is Z * $3.70
4 The unsatisfied demand in a year is max(Z – 45,000, 0).

Answers

Answer:

The least accurate statement regarding elements of a model for this setting is:

4 The unsatisfied demand in a year is max(Z – 45,000, 0).

Step-by-step explanation:

Expected annual demand for Prisdol = 50,000

Annual Plant Capacity = 45,000 units of drugs

Cost of building the plant = 45,000 * $16

Annual maintenance cost = 45,000 * $0.40

Production cost per unit = $0.20

Selling price per unit = $3.70

Sales revenue in a year = Z * $3.70,

where Z denotes the random demand in a year

b) Statements 1, 2, and 3 are accurate in this model setting.  However, statement 4 sets up a model that does not concur with the setting.  The unsatisfied demand in a year should be Z minus 45,000 if the plant produced full capacity.  Otherwise, it is Z minus annual production units.

9xy + 6ab + 2xb
The expression consists of ? terms, and each term contains ? factors

Answers

Answer:

They're 3 terms

Step-by-step explanation:

Im confused but the factor part because you can argue they're all factors of something. 81,18,4

volume of a cube with side length of 5.2 cm.

Answers

Answer:

140.608

Step-by-step explanation:

The answer is 140.608

Which number line correctly shows the location of -1 1/2?

Answers

Hopes this helps:

Answer: A.

Toby collected data about the population of a town for five years. Toby's data was linear. Which table could be Toby's data?
the answer choices are A) A B) B C) C D) D

Answers

Answer:

ok, so the answer is table A

Step-by-step explanation:

USA PREP TESTTTTTT

good luck :)

Order from least to greatest.
18.186; 18.1806; 18.085; 18.0728; 18.1472

Answers

18.0728 18.085 18.1472 18.1806 18.186

Which statements are true? Select all that apply.

Answers

Answer:

A,B, D

Step-by-step explanation: I just took that test and i got it right

HURRY!!!!!!!
Given the number of times I walk around the lake. Find the number of miles I walked around the lake. Note: it is 2.6 miles around the lake, and if I start walking a lap, I must finish the lap because I have to get back to my car. I had to walk ON THE PATH, and cannot go backwards, only forwards. I won't deviate off the path, so it will ALWAYS take 2.6 miles to go around!

Write the function rule, where x is the independent variable, and y is the dependent variable.

a
x=2.6y
b
y=2.6x
c
x=2.6+y
d
y=2.6+x

Answers

Answer:

A. x= 2.6y

Explanation

May some one please answer this for me, if u are right i will give u brainliest

Answers

Answer:

b. 14x+4y

Step-by-step explanation:

The perimeter is determined by two times the length plus two times the width.

We will use the formula P = 2L+2W:

P = 2L+2W

P = 2(5x-y)+2(2x+3y)

P = (10x-2y)+(4x+6y)

P = 14x+4y

A group of friends are ordering food. The total amount that they can spend on their food bill is $41, including the delivery charge of $6. The equation below represents the situation, where x is cost of each friends meal.
6+ax=41

The cost of each friends meal in terms of a is?

The cost of each friends meal when the number of friends is 5 is $?​

Answers

Answer:

36

Step-by-step explanation:

Answer:

The first answer is 35.

the second answer is 7.

Step-by-step explanation:

hope this helps you!

The table displays the amount of money Stephen has in his piggy bank.
Stephen's Piggy Bank
Types of Coins Amount ($)
Quarters 7.50
Dimes 6.00
Nickels 5.50
Pennies 3.00
Which answer choice does NOT accurately approximate a comparison between the value of
the dimes in the piggy bank and the total value of Stephen’s coins?

A. 6%
B. 3/11
C.6/22
D. 27%

Answers

Answer:

A.6% Is the correct answer...

#:Carry on Learning... ^_^

Answer:

A. 6%

Step-by-step explanation:

The is no step by step explanation sadly

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