A report included the following information on the heights (in.) for non-Hispanic white females.
Sample Sample Std. Error
Age Size Mean Mean
20–39 868 65.9 0.09
60 and older 934 64.3 0.11
(a) Calculate a confidence interval at confidence level approximately 95% for the difference between population mean height for the younger women and that for the older women. (Use μ20–39 − μ60 and older.) , Interpret the interval
(b) Let μ1 denote the population mean height for those aged 20–39 and μ2 denote the population mean height for those aged 60 and older. Interpret the hypotheses H0: μ1 − μ2 = 1 and Ha: μ1 − μ2 > 1.
Carry out a test of these hypotheses at significance level 0.001. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)
(c) Based on the P-value calculated in (b) would you reject the null hypothesis at any reasonable significance level? Explain your reasoning.
(d) What hypotheses would be appropriate if μ1 referred to the older age group, μ2 to the younger age group, and you wanted to see if there was compelling evidence for concluding that the population mean height for younger women exceeded that for older women by more than 1 in.?

Answers

Answer 1

Following are the solution to the given points:

In point a:

When 95% are confidence interval:

[tex]=( \mu_{20-39} - \mu_{60})+(-z_{0.025})((0.09)^2+(0.11)^2)^{0.5} \\\\= (65.9-64.3)+(-1.96) \times 0.14213\\\\=(1.3214, 1.8786)[/tex]

In point b:

[tex]H_0: \mu_1 - \mu_2 =1\\\\ H_a: \mu_1 - \mu_2 > 1[/tex]

In the Z test statistic:

[tex]= \frac{((65.9-64.3)-1)}{((0.09)^2+(0.11)^2)^{0.5}} \\\\= 4.22 \\\\\to p= 0.000012[/tex]

In point c:

The rejection value of the null hypothesis as [tex]p< 0.001[/tex]

In point d:

[tex]H_0: \mu_2 -\mu_1 = 1 \\\\H_a: \mu_2 - \mu_1 > 1[/tex]

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Related Questions

Brandon buys a radio for $48.17 in a state where the sales tax is 7%. How much does he pay in taxes? If necessary, round to the nearest cent

Answers

Answer:

49.0809

Step-by-step explanation:

Round it up to 49.10

A bakery sold a total of 120 cupcakes in a day, and 66 of them were mocha flavored.
What percentage of cupcakes sold that day were mocha flavored?

Answers

Answer:

55%

Step-by-step explanation:

55% of the cupcakes were mocha flavored.

55% of the cupcakes where mocha flavored hope this helps u

there? 65
11. A shark chases 244 fish, and eats 3/4 of them - how many does it eat?​

Answers

168 is the answer of this question

Answer:

168 is the answer ...... .. .........., . . .. ... . . . .. ..

Denzel identified (3,2) as a point on til
y-2=2/3(x+3). What is the error that Denzel
made?
Type Here.

Answers

Answer:

im srry

Step-by-step explanation:

At what point did they give up and decide that the numbers to the right of the decimals would never repeat and never stop?

Answers

This is correct, because number go to infinity and never will stop.

The question is in the image.

Answers

Answer:

a) aₙ = 6(n - 1), a₂₄ = 138b) aₙ = 2n + 1, a₂₄ = 49

===============================

Sequence a)

Ignoring the hexagon in the middle, we'll count the number of squares:

0, 6, 12, ...

This is an AP with the first term of a₁ = 0 and common difference of d = 6.

Explicit formula for an AP is:

aₙ = a₁ + (n - 1)d

Substitute the first term a₁ and common difference d into equation:

aₙ = 0 + (n - 1)*6aₙ = 6(n - 1)

The 24th term is:

a₂₄ = 6(24 - 1) = 6(23) = 138

Sequence b)

Count the number of circles:

3, 5, 7, ...

This is an AP with the first term of a₁ = 3 and common difference of d = 2.

The explicit formula for this AP is:

aₙ = 3 + (n - 1)*2aₙ = 3 + 2n - 2aₙ = 2n + 1

The 24th term is:

a₂₄ = 2*24 + 1 = 49

pls help me with this i need help with this

Answers

The measure of the missing angle is 118 degrees

What are quadrilateral?

Quadrilateral are figures that have sides and angles

For two parallelograms to be equal, the ratio of the sides must be equal to a constant

Also, all the measure of the angles must be equal. From the given parallelogram, the measure of the angles must be equal that is;

x = 118 degrees

Hence the measure of the missing angle is 118 degrees

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Answer:

118degrees

Step-by-step explanation:

Which graph does NOT represent a function?

Answers

Answer:

graph b

Step-by-step explanation:

it's b because it doesn't have any features like a function it's just a round shape that makes it a none function

Graphically, a point is a solution to a system of two inequalities if and only if the point
A. lies in the shaded region of the top inequality, but not in the shaded region of the bottom inequality.
B. lies in the shaded region of the bottom inequality, but not in the shaded region of the top inequality.
C. lies in the shaded regions of both the top and bottom inequalities.
does not lie in the shaded region of the top or bottom inequalities.

Answers

Answer: C. Lies in the shaded region of both the top and bottom inequalities.

A Galapagos tortise can walk 1/5 mile in an hour. How many hours would it take for the tortise to walk 1/6 mile?

Answers

Answer:

0.834 hours

Given that,

A Galapagos tortoise can walk 1/5 mile in an hour.

We need to find time would it take the tortoise to walk 1/6 mile.

1/5 mile = 1 hour

1 mile = 1/1/5 = 5 hours

For 1/6 mile = 1/6 *5 = 0.834 hours

It will take 0.834 hours to walk 1/6 mile.

A first number plus twice a second number is 3. Twice the first number plus the second totals 21 . Find the numbers.

Answers

Answer:

x = 13

y = -5

Step-by-step explanation:

Let x = the first number

Let y = the second number

x + 2y = 3                            2x + y = 21

You have two unknowns, so you need to equations to solve.

Solve the first equation for x:

x + 2y = 3

x = -2y + 3  Substitute this in for x in the second equation.

2x + y = 21

2(-2y + 3) + y = 21  Distribute the 2

-4y + 6 +y = 21 combine the y's

-3y = 15 Divide both sides by -3

y = -5

Plug -5 back in for either equation

x + 2y = 3

x + 2(-5) = 3

x -10 =3

x = 13

How many cm in 12.7 inch

Answers

The answer would be 32.258 centimetres
The answe is what he told u Alr pay attention

PLEASE HELP!!!

Which of the following relationships represents a function?
A.
x -6 5 -2 -2
y 8 6 8 7


B.
x -6 5 -6 7
y 8 8 14 7


C.
x -6 5 -3 10
y 8 6 14 8


D.
x -6 5 -2 5
y 8 6 8 7

Answers

Answer:

c

Step-by-step explanation:

hehehehhehrhehheheh

A computer has the shape of a rectangular solid. Find the volume of the computer, with
dimensions of 5 inches by 5 inches by 5.1 inches.

Answers

Answer:

V = 127.5in^3

Step-by-step explanation:

The volume of a rectangular prism is:

Volume = length x width x height

Therefore, in this equation it would look like this:

Volume = (5) x (5) x (5.1)

Volume = 127.5in^3

The volume of the computer is 127.5in^3.

I hope this helps!!

- Kay :)

x+y=8
2x-y=16
3x+z=18

Answers

Answer:

x+y-8=0

Step-by-step explanation:

It makes the most sense

The answer is (x, y, z)=(8, 0, -6)
You have to substitute the values
x=8-y
2x-y=16
3x+z=18
Then you simplify
2(8-y)-y=16
3(8-y)+z=18
Next you substitute the value of y
y=0
-3y+z=-6
After that you solve the equation
-3x0+z=-6
Then you substitute the value of y
z=-6
Simply
x=8-0
So a possible solution will be 8.
(X, y, z)=(8, 0, -6)
Simply
8+0=8
2x8-0=16
3x8+(-6)=18
The ordered triple is the solution
8=8
16=16
16=18
(x, y, z) = (8, 0, -6)

Evaluate (11 + 4) ÷ 3 x √64 =

Answers

Answer:

40

Step-by-step explanation:

(11 + 4) / 3 x [tex]\sqrt{64[/tex]

(15)/3 x 8

5 x 8

40

Paloma has a flower stand at a farmer’s market. On Tuesday, she sold 8 marigold flats and 10 daisy flats.
An hour before closing, she sold 5 bunches of roses at half price and 2 bunches of lilies for 13 of the price.
Evaluate a numerical expression to find out how much money Paloma made. Enter your answer in the box.

Answers

The total money Paloma made = $117.25

In this question,

The price of Marigold(M) is $5.75.

The price of Daisy(D) is $6.25.

The price of Roses(R) is $2.50.

The price of Lilies(L) is $3.75

She sold 8 marigold flats and 10 daisy flats. An hour before closing, she sold 5 bunches of roses at half price and 2 bunches of lilies for 1/3 of the price.

Let s be the total money Paloma made

so we get an expression,

S = 8M + 10D + 5(R/2) + 2(L/3)

Now substitute the respective value

S = 8(5.75) + 10(6.25) + 5(2.5/2) + 2(3.75/3)

S = 46 + 62.5 + 6.25 + 2.5

S = $117.25

Therefore,  the total money Paloma made = $117.25

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Need this ASAP thanks

Answers

Answer:

A. Substitution

Step-by-step explanation:

You have already gotten what y is in x terms, so you could plug that into the first equation and find out what y and x are

whay is the slope of a perpendicular to the line whose equation is 3x+y=-6

Answers

Answer:

1/3

Step-by-step explanation:

3x + y = -6

y = -3x - 6

The slopes of two perpendicular lines are negative reciprocals of each other

so negative reciprocal of -3 is 1/3

[tex] \large{ \boxed{ \tt{Answer : - 3}}}[/tex]

Please see the attached picture for full solution!

-------- HappY LearninG <3 --------

As part of a communit service project at your house score you’re organizing a fundraiser at the neighborhood movie theater money raised will benefit of summer camp for children with special needs the missions charge is $10 per person 550 of which is used to pay the movie theaters rental fee the reminder is donated to the summer camp fund is the maximum capacity of the movie theater is 500 people what is the maximum amount that can be donated right in equation that shows how much money will be donated and then solve

Answers

The maximum amount to donate to the summer camp fund is $2,250.

2. The equation that shows the maximum amount to donate is y = 4.5x.

What is an equation?

An equation is a mathematical statement that two values are equal.

Using an equation, two mathematical expressions are stated to have equivalent values.

Equations are expressed using the equation symbol (=).

Data and Calculations:

The expected number of theater goers = 500 persons

Admission charge per person = $10

Movie Theater's rental fee = $5.50

Ticket fee = $4.50 ($10 - $5.50)

Let y be the maximum amount to donate to the summer camp fund

Let x be = 500

y = (10 - 5.50)x

y = 4.5x

The required equation for the maximum amount to donate is y = 4.5x

y = 4.5 x 500

y = 2,250

Thus, the maximum amount to donate to the summer camp fund is $2,250.

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Complete Question:

As part of a community service project at your house score, you are organizing a fund-raiser at the neighborhood movie theater. Money raised will benefit a summer camp for children with special needs. The admission charge is $10.00 per person, $5.50 of which is used to pay the movie theater’s rental fee. The remainder is donated to the summer camp fund.

What is the maximum amount that can be donated? Write an equation that shows how much money will be donated and then solve it.

Frosty rolled around the track for laps in 10 minutes

A.how many minutes per lap is that be

B.how many laps per minute is that

C.if Frosty holds 40 laps at the same rate how long take does it take him

Answers

a. 2.5 minutes
b. 0.4 laps
c. 100 minutes

Answer:

In bold below.

Step-by-step explanation:

A . 10/4 = 2.5 minutes per lap.

B. Laps per minute = 1 / 2.5 = 0.4 laps per minute.

C. Time taken  for 40 laps = 40 / 0.4 = 100 minutes.

A line passes through the point (8,3) and has a slope of -3/4. Write an equation in slope intercept form for this line.

Answers

Answer:

y = -3/4 + 9

Step-by-step explanation:

y=mx+b

3 = -3/4(8) + b

3 = -6 + b

9 = b

y = -3/4 + 9

Each of the equal sides of an isosceles triangle is 5 times the third side. The perimeter of the triangle is 121 inches. Find the sides of the triangle.

Answers

Answer: The small side is 11, and the other two are 55, 55,

Step-by-step explanation:

So the perimeter adds up to 121 inches.

we know that two of the sides are 5x the 3rd side while being congruent.

11 times 5=55. 55 times 2=110. 110+11=121

Answer:

The third side is 11 inches

the 2 equal sides are 55 inches each side.

Step-by-step explanation:

X + 2(5x) = 121

x + 10x = 121

11x = 121

x = 121/11

x = 11

1. The price of a TV is $295. The price of a
projector is 4 times as much as the price of a
TV. What is the price of the projector?

Answers

Answer:

The price of the projector is $1,180.

Step-by-step explanation:

295 × 4 = 1,180

Compute the sum of all nine 2-digit numbers with a ones digit of 6.

Answers

Sum of all nine number  = 438

Step-by-step explanation:

Given :

2 Digit Number whose ones place is 6.

Solution :

Nine numbers are - 16,26,36,46,56,66,76,86,96

Sum of all nine number  = 16+26+36+46+56+76+86+96 = 438

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A sofa is on sale for $833, which is 15% less than the regular price.
What is the regular price?

Answers

Answer: $957.95

Explanation: The sofa is 15 percent off the original price. 15 percent of 833 is $124.95 so you add the numbers.

39-[20/4+2(3+6]
And how do i do it?

Answers

Answer: 16 :)))))))))))))))))))))







Solve for x. Round your answer to the nearest tenth.

Answers

Answer:

The Pythagorean theorem should help you out. Since you already know two sides of the triangle, you can do a^2 + b^2 = c^2

So in this problem, 16.5^2 + 9.2^2 =
272.25 + 84.64 = 356.89

Pasty you would take the square root of 356.89 and you would get x = 18.89 or 18.9 rounded to the nearest tenth

You can check your work by the Pythagorean theorem once more. 16.5^2 + 9.2^2 = 18.9^2 and you should get the same approximate answer (it will be a little bigger because you rounded)

PLEASE HELP THANK YOU SO MUCH!

Answers

Answer:

Triangle FHL

Step-by-step explanation:

6/15 plus 3/10 plus 3/5

Answers

Answer:

1.3

Step-by-step explanation:

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