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

Suppose a necklace is made from 18-karat gold and weighs 54 grams. Find the weight, in grams, of the pure gold in the necklace.

Answers

I work part time at a jeweler, that necklace would be worth about 3.3K and then also you didn't provide what the effect is. Wouldn't the necklace remain as 54 grams?

regi received a 3.5 raise which raised his yearly income by $910. what is his new income?

Answers

Answer:

His new income is $26,910.

Step-by-step explanation:

As Regi has received an increase in his annual salary that has represented $ 910 in his payment, to determine his new salary the following calculation must be performed:

910 / 3.5 = 1% salary

260 = 1% salary

260 x 100 = previous salary

26,000 = previous salary

26,000 + 910 = current salary

26,910 = current salary

Therefore, his new income is $26,910.

Is 7.0001 is terminating or repeating decimals

Answers

Answer:

it is terminating

Step-by-step explanation:

state A,B and C have hosted a certain sporting event a total of 75 times. state A had hosted the sporting event 9 more times then state C. together, state A and state C have hosted five more than four times the number of this sporting event that state b hosted. determine the number of times this sporting even was hosted by each of the three states ​

Answers

Answer:

Step-by-step explanation:

Total events = 75

A + B + C = 75  --------------(I)

State A had hosted the sporting event 9 more times then state C.

A = C + 9 ---------------------(II)

Together, state A and state C have hosted five more than four times the number of this sporting event that state b hosted.

A + C = 4B + 5  ---------------------(III)

Substitute A = C + 9 in (III)

C + 9 + C = 4B + 5

   2C + 4 = 4B  + 5

        2C  = 4B + 5 - 9

       2C  = 4B - 4

Divide the whole equation by 2

   2C/2  = 4B/2  - 4/2

        C = 2B  - 2 -------------(a)

Plugin the C = 2B - 2 in (II)

A = C +  9

A = 2B - 2 + 9

A = 2B + 7 ------------------(b)

Plugin the value of A & C from (a) & (b) in equation (I)

A + B + C = 75

2B + 7 + B + 2B - 2 = 75

Add the like terms

2B + B + 2B + 7 - 2 = 75

5B + 5 = 75

5B = 75 - 5

5B = 70

B = 70/5

B = 14

Plug in B value in equation (a)

C = 2B - 2

C = 2*14 -2

  = 28 - 2

C = 26

Plugin B value in equation (b)

A = 2B + 7

  = 2*14 + 7

 = 28 + 7

A = 35

State A has hosted 35 times

State B has hosted  14 times

State C has hosted 26 times

Hi, can someone answer this?

Answers

Answer:

I think its D

Step-by-step explanation:

the 2 on top of the b equals 400.

400 times 400 = 160,000

( Hope this helps! )

Fill in the next two term in the pattern 0.16 0.35 0.54 ---- ----

Answers

Answer:

0.73 and 0.92

Step-by-step explanation:

The answers are 0.73 and 0.92 because:

1) Subtract 0.54 with 0.35, you will get 0.19

2) Therefore, we know the patter is adding 0.19 for each number

3) 0.54 + 0.19 = 0.73

4) 0.73 + 0.19 = 0.92

Hope this helps!

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The next two terms in the pattern will be 0.73 and 0.92.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

The explicit formula for any arithmetic series is given by the formula,

aₙ = a₁ + (n-1)d

where d is the difference and a₁ is the first term of the sequence.

The given series is an arithmetic series. Therefore, the common difference between any of the two terms in the series is,

Common difference = 0.35 - 0.16 = 0.19

Now, the next term of the series will be,

Next term =  Previous term + common difference

= 0.54 + 0.19

= 0.73

Next term = 0.73 + 0.19

= 0.92

Hence, the next two terms in the pattern will be 0.73 and 0.92.

Learn more about Arithmetic sequence here:

https://brainly.com/question/3702506

#SPJ2

I need help on this assignment ASAP.

Answers

Here's the graphing if you need it for proof or etc. & a lil correction!

Find 60 percent of 199?

Answers

Answer: 79.60%, difference is 119.40

Step-by-step explanation:

Answer:

119.4

Step-by-step explanation:

199/100=1.99

1.99*60=119.4

A is a 3 times 3 matrix with three pivot positions.
(a) Does the equation Ax = 0 have a nontrivial solution?
(b) Does the equation Ax = b have at least one solution for every possible b?
(a) Does the equation Ax = 0 have a nontrivial solution? No Yes
(b) Does the equation Ax = b have at least one solution for every possible b? No Yes

Answers

Answer:

The following are the answer:

In option a  "No".

In option b  "Yes".

Step-by-step explanation:

In choice a:

Ax = 0 has no nontrivial solution. A would be the three-pivot matrix, it may assume, that the function has no free variable, and only if the function has had at least one free factor are their nontrivial formulas for the equations of the form Ax=0.  

It implies that since A is a 3x3 matrix, has no free variables so that it has no non-trivial choices, and Ax = 0.

In choice b:

we assume that every potential has at least one solution that is Ax=b . If A does have a three-pivot matrix, It will be a pivot element for each row and column, and for each possible b∈ R³, Ax = b has at least one solution.

A farm lets you pick 3 pints of raspberries for $12.00. At this rate, how many pints can you get for $20?

Answers

Answer:

5

Step-by-step explanation:

12$:3 =4$ a pints of raspberries

20$:4$=5 pints of raspberries

Jeremy spends $4.00 for breakfast and then spends $4.00 for lunch

Answers

Answer:

He spends 8 dollars

Step-by-step explanation:

4 + 4 = 8

Hopefully this helps you :)

pls mark brainlest ;)

Write the sentence as an equation 175 is equal to 182 multiplied by g

Answers

175=182g i hope this is right

The price of a sweater was reduced from 20$ to 12$. By what percentage was the price of the sweater reduced?

Answers

Answer:

60%

Step-by-step explanation:

To find the reduction percentage, divide 12 by 20, then multiply by 100:

12/20

= 0.6

0.6(100)

= 60

So, the sweater was reduced by 60%

Answer:

60%

Step-by-step explanation:

[tex]\frac{12}{20} * \frac{x}{100}[/tex]

12 * 100 is 1200

1200/20 = 60

So, therefore the sweater was reduced by 60%.

Hope this helps, have a great day:)

Please help I can’t afford to fail this class :(

Answers

The answer I believe would be “B”; “48”

If I have a 9ft plank how many 3/4 pieces can I get

Answers

you can get 12 pieces I think

There are 15 different pieces of cheese on the plate. Is it possible by dividing only one piece to divide all into two groups with equal weight and equal amount of pieces in each?

Answers

Answer:

It is possible.

Step-by-step explanation:

Each piece of cheese can be divided into two equal pieces.

Therefore, the 15 different pieces can produce 30 (15 * 2) equal pieces.

Then there will be 15 pieces in each group.

Provided during the division, it is ensured that equal weights were allocated to each piece, then each group will have the same weight as the other group.

Note that the division of the 15 pieces of cheese into two equal parts looks like the only way to have equal weight of two groups of the delicacy.

Please please help fast

Answers

Answer:

no I'm pretty sure. hope it helps

Answer: No

Step-by-step explanation:

First convert 10 feet to yards and also 20 inches to yards.

10 feet to yards is 3.3 and 20 inches to yards is  0.55

Now add them to see if they equal to 4 or greater than.

0.55 + 3.33= 3.88

3.88 is less than 4 so Anis will not be able to make a fence

i’m stuck on this question

Answers

Answer: Dividing the number by 1000

When you move the decimal, add a 0.
The decimal is moved 3 times, there are 3 zeros. When you move left, the number is getting smaller so it is division.

Hope this helps ʕ•ᴥ•ʔ

Answer:

See below

Step-by-step explanation:

So you are moving the decimal to the right, right?

This action would make the number bigger.

For this explanation I will use the example 7.2

So lets move the decimal 3 to the right.

You get 7200.

Now try dividing 7200 by 100 = 72

This did not get us the original # 7.2

Now lets divide 7200 by 1000 = 7.2

Now that we got the original #, switch the operation and multiply 7.2 by 1000

7.2 x 1000 = 7200

Answer = multiplying the number by 1,000

Part D
Describe any patterns or trends you noticed when finding the products in part
c

Answers

Answer:

The middle two terms cancel out each time, and the final product is x2 plus the product of the positive coefficients of i in the original expression. All imaginary parts either cancel out or get replaced with -1, leaving an expression that doesn’t include imaginary numbers.

Step-by-step explanation:

You are baking cookies for your family. You have 12 family members and you have baked 5 cookies so far. Write an equation to find the additional
number of x of cookies you need to bake. Then solve for x.

Answers

Answer:

7 cookies

hope this helped you

please mark as the brainliest (ㆁωㆁ)

AVENGERS: The Avender movie made $1.6 million in ticket sales. Its sequel made $0.8 million in ticket sales. How much more than the first movie make than the sequel. (a) Write and equation and solve it (b) Write your answer in a complete sentence in context of the problem

Answers

Answer:

0.8 million

Step-by-step explanation:

0.8 million because the first movie made 1.8 mill iou on and the question is asking how much more the first one made than the second one.

Marsha bought a pencil for $2.81 and a drink for $3.67. She paid with a $20 bill. How much change should Marsha have received?

Answers

Answer:13.52

Step-by-step explanation:2,81+3.67=20-6.48=13.52

In 1980, a Domino's large pizza cost $4.99.
What would be the cost of that pizza in 2000?

Answers

Answer:

i cant understand it brief it plz

Step-by-step explanation:

Which angle pairs in the diagram are supplementary angles? Check all that apply.

∠3 and ∠6

∠1 and ∠4

∠5 and ∠6

∠4 and ∠5

∠6 and ∠7

Answers

Answer:

1 and 4

4 and 5

6 and 7

Answer:

∠1 and ∠4

∠4 and ∠5

∠6 and ∠7

Step-by-step explanation:

took the edge quiz

MATH


Please heeeeeeeeeeeeeeelp​

Answers

Answer:
1. 5mn
2. -125p^3q^6

Step by Step:
1. 15m^2n^2/3mn
=5mn^2/n
=5mn

2. (-5q^2p)^3
=(-5pq^2)^3
=-125p^3q^6

Are the two triangles below similar?
PLEASE HELP ME!!!!!!!!!!​

Answers

Answer:

im going with number 3 sorry if im wrong

Step-by-step explanation:

Answer:

Yes; they have congruent corresponding angles.

Step-by-step explanation:

The two triangles are similar because their angles measure are the same. This is because 70 + 28 + 92 = 180 degrees and all Euclidean triangles angles measures must have a sum of exactly 180 degrees.

Which table of ordered pairs represents a proportional relationship? ​

Answers

Answer:

2nd one

For example 5 squared is 25, 7 Squared is 49, and 9 Squared is 81

Use the distributive property to write an equivalent variable expression. -5(5q - 4)

Answers

k jssjsjjxxji. i endocrine

The mean of data set A ls 43.5 and the MAD is 3.7. The mean of data set B is 12.8 and the MAD is 4.1.

1. Which data set shows greater variability? Explain your reasoning​

Answers

Answer:

Data Set B

Step-by-step explanation:

Mean Absolute Deviation(MAD) can be defined as the distance between one data point (value) to the Mean in a give Data set

It can also be defined as the deviation of the mean from the data points or values given in a data set.

From the above question, we are told that:

The mean of data set A ls 43.5 and the MAD is 3.7.

The mean of data set B is 12.8 and the MAD is 4.1.

Comparing the two Data set, the Mean Absolute Deviation of Data set A is smaller than that of Data set B.

Hence, Data set B shows a greater degree of variability because the distance between a data point(value) and the mean is 4.1. This also means that the data points in Set B are more spread out compared to the data points in Set A.

Answer:

b

Step-by-step explanation:

You are the CEO of a big company. You are paid an annual salary, plus a bonus of the company's profits over $5,000,000,000. Consider the two functions: g(x) = x - 5,000,000,000 ; f(x) = 0.01x which of the following represents your bonus?
a. (g ⚬ f)(x)
b. (f ⚬ g)(x)

Answers

Answer:

(g ⚬ f)(x)

Step-by-step explanation:

(g ⚬ f)(x)

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