g Z-Test for Population Means Calculate z-statistic of a population mean. Keith sampled 10 private universities in Colorado and recorded the tuition cost. Keith wants to test the hypothesis that the tuition of these 10 universities is more expensive than the national average tuition, which is $29,056 with a population standard deviation of $3,339. z equals fraction numerator x with bar on top minus mu over denominator begin display style fraction numerator sigma over denominator square root of n end fraction end style end fraction If the sample mean is $31,650, what is the z-score

Answers

Answer 1

Answer: 2.46

Step-by-step explanation:

Formula for x-score is given by :-

[tex]Z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

, where [tex]\overline{x}[/tex] = Sample mean , [tex]\mu[/tex]= population mean, [tex]\sigma[/tex] = population standard deviation, n= sample size.

As per given , n=10

[tex]\mu[/tex]= $29,056

[tex]\sigma[/tex] = $3,339

[tex]\overline{x}[/tex] =  $31,650

Then,

[tex]z=\dfrac{ 31650-29056}{\dfrac{3339}{\sqrt{10}}}\\\\=\dfrac{2594}{\dfrac{3339}{3.16227766017}}\\\\=\dfrac{2594}{1055.88451073}=2.45670807142\approx 2.46[/tex]

Hence, the z-score = 2.46


Related Questions

HELP I'm stupid and idk what the answer is!

Answers

Answer:

72

Step-by-step explanation:

Answer:

72 m

Step-by-step explanation:

14x4=56

4x4=16

56+16=72

If 1 gallon of paint covers 300 square feet, how many gallons
are needed for a room 30' long x 20' wide x 12' high?

Answers

The answer should be 24

To cover the room of given dimensions 4 gallons of paint is needed.

What is an Area?

The area of a two-dimensional figure is defined as the amount of space covered by the shape in a two-dimensional plane.

Given that 1 gallon of paint covers 300 square feet, there is a room of dimensions 30' long x 20' wide x 12' high

Surface area of room = 2(l+b)*h

= 2(30+20)*12

= 1200 in²

1 gallon for 300 in², therefore 1200/300 =4 gallons for 1200 in²

Hence, To cover the room of given dimensions 4 gallons of paint is needed.

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Speed limit signs are placed every 58 mi on the highway. How many signs are there on a 75 mi stretch of highway? Which operation should be used to solve the problem? division multiplication

Answers

Answer:

you should use multiatication

Step-by-step explanation:

Answer:

lol u got the answer it's multiplication i need POOOIIIIINNNNTTTTSSS

Step-by-step explanation:

Jaden bought extra chicken because they’re on sale he wants to store them in the freezer which is such a -2°F he decided to turn the freezer down to another 5° to be sure they don’t spoil

Answers

Answer:

-2 - 5

-(2+5)

=7

Answer: -7 °F

Suppose you invest $1000 in an account paying 8% interest per year.
a) What is the balance in the account after 3 years? How much of this balance corresponds to ‘interest on interest’?

Answers

Answer:

wasd        

Step-by-step explanation:

will give brainlist Very unlikely answer choices: A. 1 B. 0.01 C. 0.9 D. 0 E. 0.6 F. 0.5 G. 0.35

Answers

Answer:

B) 0.01

Step-by-step explanation:

If they want to know which one is very unlikely, you could turn them into percents.

1=100%

0.01=1%

0.9=90%

0=0%

0.6=60%

0.5=50%

0.35=35%

Since 0% is "impossible", not just "very unlikely", I'd go with 1%, which is B) 0.01

This is assuming I'm understanding your question correctly, since it doesn't actually ask a question.

what is the area of a small triangle.

Answers

Answer:

u can figure it out by using the formula 1/2 the base x height

Step-by-step explanation:

Answer:

to find the area of a triangle you will do A(area)=h(height)times b(base) over 2

Leah is 2 less than 3 times Rachel's Age. 3 years from now, Leah will be 7 more than twice Rachel's Age. How old will Rachel be in 3 years from now?​

Answers

Answer:

I THINK rachel will be 12

Step-by-step explanation:

I really need help on this question

Answers

Answer:

Answer:answer is 6.5

Answer: so please mark as brainlest
The answer is 6.5

I Know

. What is the total number of digits
printed, if a book containing 150
pages is to be numbered from 1 to
150?​

Answers

Solution :-

Total number of pages in the book = 150

Total number of one digit numbers = From 1 to 9

= 1*9  

 

9 digits  

Total number of two digit numbers = From 10 to 99

= 2*90

= 180 digits

Total number of three digit numbers = From 100 to 150

= 3*51

= 153 digits

Total number of digits printed in the book containing 150 pages  

= Total number of one digit numbers + Total number of two digit numbers +

Total number of two digit numbers

= 9 + 180 + 153

= 342 Digits

Hence, total 342 digits are printed in the book which has 150 pages.

What degree is the polynomial function shown on the graph? A) third B) fourth C) fifth D) sixth

Answers

uhh where is the graph?

Answer:

Step-by-step explanation:

Find the value of x.

Answers

Answer:

x + 43 = 180

x = 180 -43 = 137

Step-by-step explanation:

I really need help with this question

Answers

Answer: my sis helped me a little so i think its right try 1,500

Step-by-step explanation:

if she gets paid 849000 a year then i would divide 849000 by 12 cause theres that meany months in a year then with that number subtract the Christmas plus witch is 5500 and thats the answer i think

What is the x value such that y=15 - 3x and y = 0

Answers

-3x+15=0
Add -15 both sides
-3x=-15
Divided by -3 both sides
x=-15/-3
x=5
the final answer is x=5

Luke Skywalker mixes bantha milk that is 16% protein with tauntaun milk that is 9% protein. How many pounds of each should he mix to get a 350-pound mixture that is 12% protein?

Answers

b = amount of bantha milk

t = amount of tauntaun milk

b + t = 350

0.16 b + 0.09 t = 0.12(b + t) = 42

t = 350 - b

0.16 b + 0.09 (350 - b) = 42

0.16 b + 31.5 - 0.09 b = 42

0.07 b = 10.5

b = 150

t = 200

4x+7y given x=3/4 and y=-1/3

Answers

Answer:

4x+7y

4(3/4) +7(-1/3)

3-7/3

=2/3

please mark as brainliest

Convert 50 grains to milligrams

Answers

Answer:

3239.95

Step-by-step explanation:

Nathaniel mowed 18 lawns in 3 hours. What was his rate of mowing in hours per lawn?

Answers

Answer:

1/6 hours for every 1 lawn:)

Step-by-step explanation:

Nathaniel mow 18 lawns in 3 hours, then the rate of mowing will be 0.16 or 1/6 hours per lawn.

What are arithmetic Operations?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the information given in the question,

Total lawns mowed by Nathaniel = 18

Total time taken by Nathaniel to mow 18 lawns = 3 hours.

Then, the time required to mow each lawn is,

= 18/3

= 1/6 hrs. Or 0.16 hrs.

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Nancy decides to roll a dice three times. What is the probability that she will roll all even numbers?

Answers

Given:

Nancy decides to roll a dice three times.

To find:

The probability that she will roll all even numbers.

Solution:

If a dice is rolled, then the possible numbers are

Total number = {1,2,3,4,5,6} = 6

Even numbers = {2,4,6} = 3

Odd numbers = {1,3,5} = 3

Probability of getting an even number [tex]=\dfrac{\text{Even number}}{\text{Total numbers}}[/tex]

[tex]P(\text{Even})=\dfrac{3}{6}[/tex]

[tex]P(\text{Even})=\dfrac{1}{2}[/tex]

So, probability of getting all even numbers is

[tex]P(\text{All even})=P(\text{Even})\times P(\text{Even})\times P(\text{Even})[/tex]

[tex]P(\text{All even})=\dfrac{1}{2}\times \dfrac{1}{2}\times \dfrac{1}{2}[/tex]

[tex]P(\text{All even})=\dfrac{1}{8}[/tex]

Therefore, the required probability is [tex]P(\text{All even})=\dfrac{1}{8}[/tex].

The probability that Nancy will roll all even numbers will be:

"[tex]\frac{1}{8}[/tex]".

Probability

According to the question,

Number of times dice rolled = 3

Total numbers = {1, 2, 3, 4, 5, 6}

                        = 3

Even numbers = {2, 4, 6}

                        = 3

Odd numbers = {1, 3, 5}

                       = 3  

Now,

The probability of getting even numbers will be:

= [tex]\frac{Even \ numbers}{Total \ numbers}[/tex]

= [tex]\frac{3}{6}[/tex]

= [tex]\frac{1}{2}[/tex]

hence,

The required probability be:

= P(Even) × P(Even) × P(Even)

= [tex]\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}[/tex]

= [tex]\frac{1}{8}[/tex]

Thus the above answer is correct.

Find out more information about probability here:

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Which of the following measurements is a little more than 3 feet?

Answers

None of the measurements on the list you provided is more than 3 feet.

twice the difference if a number A and 7

Answers

Answer:

-Twice means muliply by 2

 

-The difference of a number and 7 means subtract a number/variable and 7.

 

-Is equal to 9 means =9

 

2(X - 7) = 9

When 8 is added to four times a number the result is 80 find the number

Answers

Answer:

18

Step-by-step explanation:

8+4x=80

4x=72

x=18

Check

8+4x=80

8+4(18)=80

8+72=80

80=80

Afish is swimming 102 feet below the surface of the water i fer descents another 125 What subtraction expression can be used to find the new postiosoittee What is the position of the fish in relation to the surface of the state​

Answers

You would simply do -102-125 to give -227 feet below the surface

AN = 16CM; AC = 18CM & CN = (4X -6) CM. Find the value of X

Answers

Answer:

x = 6

Step-by-step explanation:

Since <A is congruent to <N, they are both an isosceles base angles. ∆CAN is an isosceles ∆.

Therefore, one of the properties of an isosceles ∆ is that two sides are equal, aside the base of the isosceles. This implies that: CN = AC

AC = 18cm

CN = (4x - 6)cm, therefore, we can generate an equation for solve for x as follows,

4x - 6 = 18 (two sides of an isosceles ∆ are congruent)

Add 6 to each side of the equation.

4x - 6 + 6 = 18 + 6

4x = 24

Divide both sides by 4

4x = 24/4

x = 6

Choose a number line to model the following situation. After walking 5 steps forward, Julie walked 5 steps backward. ​

Answers

Answer:

B

Step-by-step explanation:

She walked 5 steps foward and stoped. Then turned around and walk back the same distance. So she walked the same place twice once to get their and once to get back to the starting pouint.

As a cube what is -1/64 ________ to the power of ^3

Answers

Answer:

(-1/64)= (-1/4)^3

Explanation:

[tex]\sqrt[3]{-\frac{1}{64} }=-\frac{1}{4}[/tex]

[tex](-\frac{1}{4})^3=-\frac{1}{64}[/tex]

1
7) What equation is missing in the steps to solvex+6=27
2
Equation
Steps
1
-x+6=2
Original equation
1
2
Multiplication property of equality
8) You have no more than $60 to spend. You want a drink that costs $1.50 including tax, and you
want to buy a pair of pants, which will have 4% sales tax. What is the inequality that represents
the pre-tax price of a pair of pants that you can afford if you buy the drink?
a. +0.04% +1.50 > 60
C. X+0.04x + 1.50 < 60
b. +0.04x +1.50 2 60
d. 1+0.04x + 1.50 S 60

Answers

Answer:

I'll answer it

Step-by-step explanation:

do you need it now

Which line is parallel to y=2/3x+1 and passes through the point (1, 1)? a) y=2/3(x-1) b) y-1=-3/2(x-1) c) y-1=2/3(x-1) d) y=-3/2x-1

Answers

Answer:

The answer is option C

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

Equation of original line is y = ⅔x + 1

Comparing with the general equation above

Slope = 2/3

Since the lines are parallel their slope are also the same

Slope of parallel line = 2/3

So the equation of the line using point

( 1,1) and slope 2/3 is

[tex]y - 1 = \frac{2}{3} (x - 1)[/tex]

Hope this helps you

Answer:

C

Step-by-step explanation:

A claim is made that expression 1 and expression 2 are equivalent. A student is asked to provide proof that the claim is true.
Expression 1: −3(2x−6y)−2x
Expression 2: 18y−8x
Which of the following options could the student use to provide proof that the two expressions are equivalent? Select TWO that apply.
A
They could multiply expression 2, (18y−8x) by −3 and then compare their result to expression 1.

B
For expression 1, they could multiply (2x−6y) by −3 and then subtract 2x from −6x to combine terms. They then can compare their result to expression 2.

C
For expression 1, they could multiply (2x) by −3 and then subtract 2x from −6x to combine terms. They then can compare their result to expression 2.

D
They could substitute in the values x=1 and y=2 into both expressions, solve the expressions, and determine if both expressions result in the same value.

E
They could substitute in the values x=1 and y=1 into expression 1 and x=2 and y=2 into expression 2. Then, they could solve both expressions and determine if both expressions result in the same value.

Answers

Answer:

The answer is B

Answer:

The answer is B and A

Step-by-step explanation:

How do you solve this?

Answers

Answer:

1

Step-by-step explanation:

I would think (I'm not sure, but it's an idea)

[tex]\frac{x^{2} +2}{x^{2} -1} =\frac{x^{2} -1+1+2}{x^{2} -1}\\\\=\frac{(x^{2}-1) +3}{x^{2} -1}=\frac{x^{2} -1}{x^{2}-1}+\frac{3}{x^{2} -1}\\\\=1+\frac{3}{x^{2} -1}[/tex]

so when x becomes bigger and bigger

the

[tex]\frac{3}{x^{2} -1}[/tex]

will become smaller and smaller

to a point that it's practically 0

so the limit is 1

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