Mathematics High School

The average height of 18-year-old American women is 64.2 inches. You wonder whether the mean height of this year's female graduates from your local high school is different from the national average. You measure an SRS of 78 female graduates and find that x¯¯¯ = 63.1 inches. What are your null and alternative hypotheses? Note: Type in "mu" as the substitute for μ and "!=" for ≠.

Answers

Answer 1

Answer:

Step-by-step explanation:

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The Average Height Of 18-year-old American Women Is 64.2 Inches. You Wonder Whether The Mean Height Of

Answer 2

The null and alternative hypotheses are [tex]H_o[/tex] μ= 64.2 and [tex]H_a[/tex]: μ ≠ 64.2 respectively.

What is the hypothesis?

In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population's parameter. Using sample data, hypothesis testing is performed to examine the plausibility of a theory.

The average height of an 18-year-old American woman is 64.2 inches

Hypotheses state claims about a population parameter.

p: population proportion: population mean

σ: population standard deviation

The null hypothesis asserts that the sample size equals the claim value:

[tex]H_o[/tex] :μ= 64.2

The alternate hypothesis expresses the inverse of the null hypothesis (As per the claim):

[tex]H_a[/tex] : μ ≠ 64.2

μ = The average height of 18-year-old American women in the population.

[tex]H_o[/tex] :μ= 64.2

[tex]H_a[/tex] : μ ≠ 64.2

Thus, the null and alternative hypotheses are [tex]H_o[/tex] μ= 64.2 and [tex]H_a[/tex]: μ ≠ 64.2 respectively.

To learn more about the hypothesis here:

https://brainly.com/question/18064632

#SPJ2

Related Questions

Mike has a recipe that feeds one person that calls for 3/8 teaspoon
of salt. How much salt is needed to make the recipe if he needs to cook
the recipe for 5 people? ASAP correct answers only
a. 3/40 teaspoon c. 1 teaspoon
b. 15/40 teaspoon d. 1 7/8 teaspoons

Answers

Answer:

Step-by-step explanation:

You can multiply the numerator by 5 to get the answer of 15/8 which when simplified comes to 1 7/8 teaspoons. 8 goes into 15 one time with 7 left over

Hope i explained everything thoroughly!

A science teacher ordered S2278 worth of microscopes and dissection kits for the new science lab. A total of
26 microscopes and 56 dissection kits were ordered. A microscope costs three times as much as a dissection
kit. Write a system of linear equations that represents this situation. What is the cost of each item?

Answers

Answer:

[tex]26M + 56D = 2278[/tex] ---- equation 1

[tex]M = 3D[/tex] ---- equation 2

A microscope costs S51 and a dissection kit costs S17

Step-by-step explanation:

Given

Represent microscope with M and Dissection kits with D

Cost:

[tex]M = 3D[/tex]

[tex]Total = 2278[/tex]

Required

Represent as an equation:

To do this, we represent the equation in terms of cost and quantity

In terms of cost, we have:

[tex]26M + 56D = 2278[/tex] ---- equation 1

and

[tex]M = 3D[/tex] ---- equation 2

Substitute 3D for M in equation 1

[tex]26*3D + 56D = 2278[/tex]

[tex]78D + 56D = 2278[/tex]

[tex]134D = 2278[/tex]

Divide both sides by 134

[tex]D = \frac{2278}{134}[/tex]

[tex]D = 17[/tex]

Substitute 17 for D in [tex]M = 3D[/tex]

[tex]M = 3 * 17[/tex]

[tex]M = 51[/tex]

Hence:

A microscope costs S51 and a dissection kit costs S17

The graph shows the savings in Andre’s bank account.

Answers

Answer:

As the number of week increases, the Andre's savings also increases

Step-by-step explanation:

Given

The attached graph

Required

Explain what the slope represents (Missing part of the question:)

First, we'll check the slope of the graph.

Represent time in weeks with x and savings in dollar with y

So, we have the following details:

[tex](x_1,y_1) = (0,40)[/tex]

[tex](x_2,y_2) = (8,80)[/tex]

Slope (m) is then calculated as thus:

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

[tex]m = \frac{80 - 40}{8 - 0}[/tex]

[tex]m = \frac{40}{8}[/tex]

[tex]m = 5[/tex]

The calculated slope is positive and this implies that: As the number of week increases, the Andre's savings also increases

What is x- value of point A

Answers

Answer:

Step-by-step explanation:

The x value of point A is 5

1. What is the solution to the equation modeled below?

Answers

Answer:

3.67

Step-by-step explanation:

the equation is 3x + 5= 16

do 16 - 5 to get 11

next do 11 divided by 3 to get 3.67

hope this helps :)

this answer may be incorrect because the answer was really 3.66666666667

the difference between two numbers is 3. their sum is 13. find the numbers

Answers

Answer:

8 and 5

Step-by-step explanation:

8 plus 5 is 13 and 8 minus 5 is 3

In the diagram, AB= DC and AC= DB. Why does m

Answers

Answer:

why does m what????

Step-by-step explanation:

The first five terms of an arithmetic sequence are 8, 13/2, 5, 7/2, and 2. Which function, f(x), could be used to describe the xth term of the sequence?

Answers

Answer:

f(x) = 8 - 1.5x

Step-by-step explanation:

Here, we want to write a function that can be used to describe the x th term of the sequence

Mathematically, this can be calculated by looking at the numbers in the sequence

The difference between each successive term

is -1.5 ( 6.5-8, 3.5 -5)

So the formula for then x th term will be;

f(x) = 8 - 1.5x

Tap her profile picture, which will take you to her profile.

Tap the questions bar, which should lead you to all questions she has posted.

Lastly, tap the question you want! It should show you the date or time it was posted.

A brainiest is this doggo's bone!

Which could be the missing first term of the expression that, when fully simplified, would be a binomial with a degree of 4? Select three options.

________ – 5xy3 + 9x2y

0
5xy3
9x2y
8y4
4xy3

Answers

Answer:

Yo The answer is A,C,E or 0, 9x2y, and 4xy3

Step-by-step explanation:

Got it right on Edge. Good luck

Answer: A, C, E

Step-by-step explanation:

A group of 8 friends went to lunh and Spent a total of $76 which included the food bill in the tip of $16 they decide to split the bill into evenly among themselves

Answers

Answer:

The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

The solution x=60 represents the total food bill.

Step-by-step explanation:

As in the question it is mentioned that there is eight group of friends and the total amount incurred is $76 that also involved $16

Now let us assume the food bill be x

So the equation would be

(x + 16) ÷ 8 = 76 ÷ 8

(x + 16) ÷ 8 = 9.5

x + 16 = 9.5 × 8

x = 76 -16

x = 60

So, the bill of food is 60

As per the given options, the above two statements should be selected

Please help. Questions in the picture.

Answers

Answer:

Step-by-step explanation:

(2 , 0) ; (0, 1)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\[/tex]

[tex]= \frac{1-0}{0-2}\\\\=\frac{1}{-2}\\\\\\=\frac{-1}{2}[/tex]

m = -1/2 ; (2 , 0)

Equation of the line : y - y1 = m(x - x1)

[tex]y - 0 = \frac{-1}{2}(x-2)\\\\ y = \frac{-1}{2}x - 2*\frac{-1}{2}\\\\\\ y = \frac{-1}{2}x+1[/tex]

Width - 7 [tex]\frac{11}{12}[/tex] = 7.9ft

Length - 9. 83ft

To calculate the the amount of paint required to paint the walls we need to find the area of the walls

wall 1 = height * width of room= 8 * 7.9 = 63.28[tex]ft^2[/tex]

wall 2 = height * length = 8*9.83 = 78.64 [tex]ft^2[/tex]

The total area of the 4 walls will be = 2*(63 .28+78.64)= 283.84[tex]ft^2[/tex]

ceiling area = 77.66[tex]ft^2[/tex]

total area to be painted = 283.84 + 77.66 = 361.50[tex]ft^2[/tex]

One gallon of paint covers 350 [tex]ft^2[/tex] of area

so 361.50 [tex]ft^2[/tex] area will be covered by = 361.5/350 = 1.03gallons of paint

also we need two coating so the paint required will be = 1.03 * 2 =2.06gallons

5x-6
3x +2
5yº
Only enter the number. What is the value of x?

Answers

Answer:

Step-by-step explanation:

What is the value of 4.76 0.015?

Answers

Answer:

3.645

Step-by-step explanation:

4.760-0.015=3.645

Find m∠ABC.

24°

58°

19°

37°

Answers

Answer:

3x-14=2x+10

add 14 to both sides

3x-14+14=2x+10+14

3x=2x+24

subtract 2x from both sides

3x-2x=2x+24-2x

x=24

Plug x into the equations

3(24)-14=58

2(24)+10=58

they are the same angle

B=122

58-180=122

116-360=244

244/2=122

I hope this is good enough:

Answer:

X=24

Step-by-step:

3x-14=2x+10

add 14 to both sides

3x-14+14=2x+10+14

3x=2x+24

subtract 2x from both sides

3x-2x=2x+24-2x

=24 deg

Please help me!! Thank youu

Answers

Answer:

6.5x and 3.05x were adding incorrectly.

Step-by-step explanation:

The answer to adding those two numbers would be 9.55x

Answer:

error is in step A. 6.5x and 3.05x do not combing to 10x. instead, it should be 9.55x

I really need a 100 I'm felling in all my classes, please

Select the fraction that is equivalent to one-sixth.

Answers

Answer:

There is no picture, or diagram with the question, but 1/6 = 2/12

Answer:

2/12

Step-by-step explanation:

1/6 * 2 = 2/12

Multiply both numerator and denomanotor

Let's say you have 6 lbs of apples for $12.96. What is the unit price? (Meaning, what is the cost of 1 pound of apples?)

Answers

Answer:

$2.16 per pound

Step-by-step explanation:

First, you would need to divide the price by the amount

$12.96 / 6 lbs = $2.16 per pound

That is the unit price

if AB || CD and AC = BD, is ACD = CAB?

Answers

Yes becauseGuess the sides are all equal but not one so 8BACDNequals CAB

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