The average expenditure per student (based on average daily attendance) for a certain school year was $10,337 with a population standard deviation of $1560. A survey for the next school year of 150 randomly selected students resulted in a sample mean of $10, 798. Find the P-value

Answers

Answer 1

The true mean expenditure per student is different from $10,337.

What is hypothesis in math?

A hypothesis is a proposition that is consistent with known data, but has been neither verified nor shown to be false.There are basically two types, namely, null hypothesis and alternative hypothesis.

Sample size is greater than 30 and the population standard deviation is given. Thus, in order to test

H0: µ =$10,337

H1: µ≠$10,337

The appropriate test is one sample z test.

The formula for one sample z test:

Z=   x−μ / σ √ n

x−μ

​x=10798

μ=10337

σ=1560

n=150

[tex]Z = \frac{10798 - 10337}{1560 / \sqrt{150} } = 3.62[/tex]

Computation of p-value:

The EXCEL formula to find the p-value for a two-tailed z-test is

“=2*(1-NORM.S.DIST(3.62, TRUE))”

Thus, the p-value obtained is 0.00029

Conclusion using α = 0.05:

Rejection rule using p-value:

If p-value ≤ α, then reject the null hypothesis.

Since, 0.00029 < 0.05, there is sufficient evidence to reject the null hypothesis.

Therefore, the true mean expenditure per student is different from $10,337.

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Related Questions

The average 12-ounce container of raspberries contains 120 raspberries. Since the size of the raspberries can vary, the actual quantity of raspberries in a container can range anywhere from 4 berries below average to 4 berries above average.

Write and solve an absolute value equation to calculate the minimum and maximum raspberry quantities in a 12-ounce container.

Enter your answers in the boxes below.

Minimum Quantity:
raspberries

Maximum Quantity:
raspberries

Answers

Ik someone else already answerd but here is confirmation just incase :)

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draw a rectangle triangle :

sin B=8/17 that means that de biggest side are 17 ("hipotenusa"), and another side is 8. Applying de theorem of pythagoras:

[tex]17^{2} =8^{2} +x^{2} \\x^{2} =17^{2} -8^{2}\\x=\sqrt{17^{2} -8^{2}} \\x=5\sqrt{5}[/tex]

Sandra has a $20 itunes gift card and spends $3 each month. Which of the following functions models how much money Sandra has on her gift card after x months?

Answers

Answer:

x3-20

Step-by-step explanation:

x stands for the month 3 is the money that she is spending each month if you multiply those together you get the amount of money she has spent over x amount of months minus the 20 dollars on her gift card

Today only, a sofa is being sold at a 35% discount. The sale price is $559.
What was the price yesterday?

Answers

Answer:

195.65

Step-by-step explanation:

Answer:

100%-29% = 71%

568/0.71 = 800

price was $800

Step-by-step explanation:

If I'm wrong I'm sorry

If I'm right Thank you and (Brainliest plz )

Patty, Helene, and Mira share $0.96 that they found in an old wallet. How much money does each girl get?

Answers

Answer:

33 cents

Step-by-step explanation:

.96 divided by 3 = .36


John earns $7.50 per hour at his job. Becky's earnings are given by the equation P = 8.25x, where P is her
total earnings, in dollars, and x is the number of hours worked. If they each work 9 hours, who earns more
and how much more

Answers

in 9 hours
john earns $67.5
becky earns $74.25
becky earns $6.75 more than john


Select the correct answer from each drop-down menu.
The corresponding sides of two similar triangles are
The corresponding angles of two similar triangles are
Reset
Next

Answers

Answer:

1)proportional

2)Congruent

Step-by-step explanation:

The corresponding sides of two similar triangles are in equal proportion.

The corresponding angles of two similar triangles are congruent.

What are similar triangles?

The two triangles said to be similar if the corresponding sides of two similar triangles are in equal proportion and the corresponding angles of two similar triangles are congruent.

Given that. we need to find the correct answer from each statement.

According to the definition of the similar triangles,

two triangles said to be similar if the corresponding sides of two similar triangles are in equal proportion and the corresponding angles of two similar triangles are congruent.

Hence, the correct statements are:

The corresponding sides of two similar triangles are in equal proportion.

The corresponding angles of two similar triangles are congruent.

Learn more about similar triangles, click;

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Gilbert took 2 hours longer to drive 240 miles on the first day of a business trip than to drive 144 miles on the second day. If his rate was the same both days, what was his driving time for each day?

Answers

Answer:

dyvhbCNN mfg beneficialgVCR specializations acknowledgement

Which fraction has a repeating decimal as its decimal expansion?
3/25
3/16
3/11
3/8

Answers

It should be 3/11 because we know that 11 is a number where if almost any number divide 11 is a repeating.

I’m not sure how to answer this pls help

6.1 x 1.9 + 3.7

Answers


The answer is 15.39.

Answer: 15.29

Step-by-step explanation: Simplify

write an equation that has the solution of X equals Y

Answers

Answer:

Step-by-step explanation:

The system of equations x + y = 1 and x – y = 2 has the unique solution x = 1 and y = –1.

There are infinite pairs of system of equations which have the unique solution x = 1 and y = –1.

Hope this information will clear your doubts about the topic.

whats the anwser for 14−3x<−1

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

14−3x<−1  Question

Step 2

14−3x<−1  Simplify

Step 3

14−3x<−1   Subtract 14 from sides

-3x<-15

Step 4

-3x<-15  Divide sides by -3

x>5

Answer

x>5

Hope this helped

Answer:

Step-by-step explanation:

I can help

Step 1

14−3x<−1  Simplify

Step 2

14−3x<−1  subtract 14 from the sides

-3x<-15

Step 3

-3x<-15  Divide the sides by 3

-3x/-3<-15/-3

Answer

x>5

Hope this helps

plz help!!! i’ll mark brainliest!!!!

Answers

Step-by-step explanation:

go to rcboe.org sorry if it doesn't work

Jason wants to create a box with the same volume as the one shown below. He wants the length to be 4inches. What would be the measurements of the width and height?

Answers

Sorry, need either a photo of the box or the measurements

Three-quarters of the students that Maria surveyed stated that they liked to sleep in on Saturday morning. If 24 of the students said they liked to sleep in, how many students did Maria survey?

Answers

Answer:

6

Step-by-step explanation:

What is the area of the following polygon? Explain your process for how you arrived at the final area. Show your work.

Answers

Answer: 400

Step-by-step explanation: first you have to know the triangle area, which is 20 times 10 divided into 2, then you have to know the square area which is 20 times 15 and finally you will put together the areas, which is 400

Answer:

Step-by-step explanation:

Answer: 400

Step-by-step explanation: first you have to know the triangle area, which is 20 times 10 divided into 2, then you have to know the square area which is 20 times 15 and finally you will put together the areas, which is 400

Which expression is equivalent to 3 (x – 9) + 6?
A. 3x - 3
B. 3x - 21
C. 15 - 3x
D. 33 - 3x

Answers

It’s B, the answer is 3x-21

1/4(16w+5) we need to simplify the answer

Answers

Answer:

4w + 5 / 4

Step-by-step explanation:

1/4 × 16w + 1/4 × 5

= 4w + 5 / 4

The price of a television is $567.31. The state sales tax rate is 8.3%.

What is the total cost of the television?

Answers

8.3%= 0.083

567.31 * .083 = 47.086 = 47.09

567.31+47.09= $614.40

Total cost is $614.40

Answer:

[tex]2.64957x10 [/tex]

[tex]8547 \times 31[/tex]

[tex] = 264951[/tex]

Which graph represents this system?
Y=3
X+ y = 4


Answers

Answer:

Step-by-step explanation:

Mrs. Rodriguez has 18 packages of pens in stock at her store on Monday. On Tuesday, she has 7/9 the number of pens she had on Monday. On Wednesday, she has 2/7 of the number of pens she had on Tuesday.

How many packages of pens does she have on Wednesday?

Answers

Answer:

No but she can have dezzz nuts

Step-by-step explanation:

Solve for x, Round to the nearest 100th if needed.
x13+18=49
x=?

Answers

Step-by-step explanation:

X=49-18/13

X=31/13

X=2.38

so nearest 100 th would be 2.4

Which could be the value of x in the
triangle below?

Answers

Answer:

6

Step-by-step explanation:

I'm going to assume that this is a right triangle

which means that

3x²+6²=19²

9x²+36=361

9x²=325

3x=18.0277

x=6

I need some help with this question​

Answers

9514 1404 393

Answer:

  terms: 2

  degree: 1

Step-by-step explanation:

The expression has two terms, separated by a minus sign.

The degree of the expression is the exponent of the only variable, 1. (Typically, a coefficient of 1 and/or an exponent of 1 are not shown.)

  terms: 2; degree: 1

What's the probability you will flip 3 coins in a row and they all land on HEADS?
A. 3 out of 6 chance
B. 1/8 chance
C. 2 in 16 chance
D. 4 in 5 chance

Answers

Answer:

B. 1/8 chance

Step-by-step explanation:

Every time you flip a coin you have a 1/2 probability of landing on heads.

If you repeated the process three times in the row

It would be 1/2 x 1/2 x 1/2 = 1/8

The odds they all land on heads is 1/8

ALGEBRA 2:

my brain can’t handle this please i’m begging 35 points!! + brain lies

Answers

Answer:

Batoon you okay U-Pack guitar a Jeffrey vaginas how much are I guess you're everything

The a part is figure 1, but in b I’m not sure if is 6.30 or 143.44, I just hope this help u.

i ready classroom grade 8 volume 1 mathematics

Can anyone help me with this asap !!!

Answers

Answer:

COCO is life

Step-by-step explanation:

COCO is = to food and water

And food of COCO contains 2grams

Water of COCO contains 10 liters

So add grams and liters together

And u get this

10l/41ⁿ9xg451/⅞41 + we12/need/34¹⅔/coco

=coco 10274728l

Help this is timed!!!

Answers

Answer:

C. (4,2)

Step-by-step explanation:

The point where the lines intersect is (4, 2)

Answer:

IT IS 2,4!!!!!!!!!1

Step-by-step explanation:

A triangular prism where the base is a right traingle with lengths of the edge are given 3cm,4cm,5cm,3cm what are the total surface

Answers

Answer:

Total surface area is 48 square Centimeter

Step-by-step explanation:

Total surface area is equal to the product of triangular base area and the height of the prism

Area calculation of triangular base

[tex]S = \frac{3+4+5}{2} = 6\\[/tex]

Area =

[tex]\sqrt{S(S-a)(S-b)(S-c)}[/tex]

Substituting the given values in above equation we get

[tex]\sqrt{6 *3*2*1} = 6[/tex] square centimeter

Total surface area

= [tex]2 * 6 + (3*3)+(3*4)+(3*5)\\= 12 + 9 + 12+ 15\\= 48[/tex] square Centimeter

Part B: Melissa designed the kite shown and would like to know the minimum amount of fabric needed to cover the kite. Each unit is 1 inch,

48 in

69 in

286 in

572 in?

Answers

Answer:

69.4 inches

Step-by-step explanation:

A kite is a quadrilateral (has four sides and four angles) with two pairs of congruent adjacent sides. The diagonals of a kite are perpendicular to each other.

To prove that quadrilateral ADBC is a kite, the diagonals of the kite have to be perpendicular to each other.

AD ⊥ BC.

Since adjacent sides are equal to each other, hence:

BC = BD, AC = AD

The coordinate of the vertices are A(11, 0), B(11, 26), C(0, 18) and D(22, 18)

[tex]BC=\sqrt{(0-11)^2+(18-26)^2} =13.6\ unit\\\\AC=\sqrt{(0-11)^2+(18-0)^2} =21.1\ unit[/tex]

BC = BD, AC = AD

Perimeter of kite = BC + BD + AC + AD = 2BC + 2AC = 2(13.6) + 2(21.1) = 69.4 units = 69.4 inches

Answer: 69

Step-by-step explanation:

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