The article " Inconsistent Health Perceptions for US Women and Men with Diabetes" presents results of a survey of adults with diabetes. The average body mass index (BMI) in a sample of 1559 men was 30.4, with a standard deviation of 0.6. The average BMI in a sample of 1924 women was 31.1 with a standard deviation of 0.2. Find a 99% confidence interval for the difference between the mean weights.

Answers

Answer 1

Answer:

The 99% confidence level (-0.741, -0.659).

Step-by-step explanation:

The average body mass index (BMI) in a sample of 1559 men was 30.4, with a standard deviation of 0.6.

The average BMI in a sample of 1924 women was 31.1 with a standard deviation of 0.2.

Find a 99% confidence interval for the difference between the mean weights..

The formula for 99% Confidence Interval for difference between the mean weights =

μ is the population mean, and σ is the population standard deviation.

μ1 - μ2 ± z × √σ²1/n1 + σ²2/n2

The z score for 99% confidence interval = 2.576

30.4 - 31.1 ± 2.576 × √0.6²/1559 + 0.2²/1924

-0.7 ± 2.576 × √0.36/1559 + 0.04/1924

-0.7 ± 2.576 × √0.0002309173 + 0.00002079

-0.7 ± 2.576 ×√0.0002517073

-0.7 ± 2.576 × 0.015865286

-0.7 ± 0.04086897674

Hence, the 99% Confidence Interval is

-0.7 - 0.04086897674

= -0.74086897674

≈ -0.741

-0.7 + 0.04086897674

=-0.65913102326

≈ -0.659

Therefore, the 99% confidence level (-0.741, -0.659).


Related Questions

Find the mean absolute deviation of the setback of data. 9, 12, 3, 5, 8

Answers

Answer:

3.5

Step-by-step explanation:

when do we say two points are said to be collinear​

Answers

Answer:

never heard of that word lol

Step-by-step explanation:

What is the area of a rectangle with the length 14 1/2 inches and a width of 5 2/3 inches

Answers

Answer:

A = 82 1/6 in^2 (frac. form)

or

A = 82.17 in^2 (dec. form)

Step-by-step explanation:

A = l*w

A = (14 1/2)(5 2/3)

A = (29/2)(17/3)

A = 82 1/6 in^2 (frac. form)

or

A = 82.17 in^2 (dec. form)

Write 10x 10x 10x 10x 10x 10x 10x 10 with an exponent. Explain how you decided what exponent to write. 10x 10x 10x 10x 10x 10x 10x 10= _____. Since _____ is used as a factor _____ times, the exponent is _____. Please help me!

Answers

Answer:10 to the power of 8

Step-by-step explanation:since 10 is used as a factor 8 times, the exponent is 10 to the power of 8.

if a shape called rectangle and had length of 15 and breath of 10 what would be the perimeter?​

Answers

Answer:

50

Step-by-step explanation:

p=2(l+w)

2(10+15)

50

multiply the polynomial
(x-1)(2x^2-5x+1) 

Answers

Answer:

2x^3 - 7x^2 + 6x - 1

Step-by-step explanation:

Thank me later lol.

SHOW STEPS PLEASE...

Answers

9514 1404 393

Answer:

  (5 15/20) -(2 8/20) = 3 7/20

Step-by-step explanation:

Problems in "least common denominator" are made much easier if you are familiar with your times tables.

When you compare the denominator 4 to the denominator 20, you see that ...

  20 = 5 × 4

An equivalent fraction is made by multiplying by 1. Here, the version of 1 you want for the top fractions is 5/5.

  [tex]\dfrac{3}{4}= \dfrac{3}{4}\cdot\dfrac{5}{5}=\dfrac{3\cdot5}{4\cdot5}=\dfrac{15}{20}[/tex]

Similarly, the bottom fraction has its denominator multiplied by 4 to get from 5 to 20. The equivalent fraction is found by multiplying the numerator by the same number.

  [tex]\dfrac{2}{5}=\dfrac{2\cdot4}{5\cdot4}=\dfrac{8}{20}[/tex]

Then the desired difference is ...

  [tex]5\dfrac{15}{20}-2\dfrac{8}{20}=(5-2)+\left(\dfrac{15-8}{20}\right)=3\dfrac{7}{20}[/tex]

Find x and y and thank you

Answers

Answer:

x = 8.66

y = 5

The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.​

Answers

Hello!

It is given information that this triangle is a right triangle, meaning that the Pythagorean Theorem can apply here.

[tex]a^2+b^2=c^2[/tex]

We can set the length of a leg as an unknown variable [tex]x[/tex].

[tex]x^2+4^2=(3x)^2[/tex]

Remember that it is the whole [tex]3x[/tex] term being squared, meaning that it'll simplify to [tex]9x^2[/tex], not [tex]3x^2[/tex].

[tex]x^2+16=9x^2[/tex]

[tex]8x^2=16[/tex]

[tex]x^2=2[/tex]

[tex]x=\sqrt{2}[/tex]

This means we can plug back in to find the sides.

The hypotenuse would be [tex]3\sqrt{2}[/tex], or 4.2.

And the legs would be 1.4 and 4, respectively.

Hope this helps!

Please I need help fast can’t figure this out

Answers

X=9-1 expiation is to be awarded

X-11=28 Show work I. Need helpp

Answers

Answer:

39-11=28 so that means X=39

Step-by-step explanation:

all you have to do is add 28+11 which would give you 39 and 39-11+28 and thats your answer

Answer:

x = 39

Step-by-step explanation:

step 1.

Add 11 to both sides

x - 11 = 28

x - 11 + 11 = 28 + 11

step 2. Add the numbers

− 1 1 + 1 1 = 2 8 + 1 1 x{\color{#c92786}{-11}}+{\color{#c92786}{11}}=28+11 x−11+11=28+11 = 2 8 + 1 1 And you'll get 39!

What is the surface area of the cylinder shown below? Use 3.14 for π.


A. 502.4 cm2
B. 602.88 cm2
C. 785 cm2
D. 602.4 cm2

Answers

it is C

Step-by-step explanation:

i did the test

Answer:

The answer is actually B.

Step-by-step explanation:

I have an actual explanation to this! But I don't like dealing with pdfs, also typing it out will be a lot. Ik I am late, but to whomever else needs help that's the answer! Glad to help:)

Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Answers

Given:

A figure of a triangle, AD = 6 and DB = 2.

To find:

The length of AC.

Solution:

In a right angle triangle,

[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]

In triangle ACD,

[tex]\cos A =\dfrac{AD}{AC}[/tex]

[tex]\cos 30^\circ =\dfrac{6}{AC}[/tex]

[tex]\dfrac{\sqrt{3}}{2}=\dfrac{6}{AC}[/tex]

[tex]\sqrt{3}\times AC=6\times 2[/tex]

[tex]AC=\dfrac{12}{\sqrt{3}}[/tex]

[tex]AC=\dfrac{12}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}[/tex]

[tex]AC=\dfrac{12\sqrt{3}}{3}[/tex]

[tex]AC=4\sqrt{3}[/tex]

Therefore, the length of AC is [tex]4\sqrt{3}[/tex] units.

One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 45 individuals who consider themselves to be avid Internet users results in a mean time of 1.98 hours watching television on a weekday. Determine the likelihood of obtaining a sample mean of 1.98 hours or less from a population whose mean is presumed to be 2.35 hours.

Answers

This question is incomplete, the complete question is;

One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 45 individuals who consider themselves to be avid Internet users results in a mean time of 1.98 hours watching television on a weekday. Determine the likelihood of obtaining a sample mean of 1.98 hours or less from a population whose mean is presumed to be 2.35 hours.

Assume that the standard deviation for​ "time spent watching television on a​ weekday" is 1.93 hours.

Answer:

the likelihood of obtaining a sample mean of 1.98 hours or less is  0.0985  

Step-by-step explanation:

Given the data in the question;

x" = 1.98  

μ = 2.35  

s = 1.93

n = 45

so, p( x" < 1.98 ) = P( (x" - μ)/(s/√n) )

we substitute in our values,

p( x" < 1.98 ) = P( (1.98 - 2.35) / (1.93/√45) )

= p( -0.37 / 0.2877

= P(  - 1.29 )

from standard normal table,

P(  - 1.29 ) =  0.0985  

Therefore, the likelihood of obtaining a sample mean of 1.98 hours or less is  0.0985  

 

3.8 cm 1.1 cm 2.2 cm Estimate the surface area of the rectangular prism. A) 28 cm B) 32 cm2 64 cm 81 cm​

Answers

Answer:

28 i guess

Step-by-step explanation:

surface area of rectangular prism is

2*(w*l+h*l+h*w)

h is height

l is length

w is width

so if you substitute each with the numbers you will get 29.92

Homework 2: Special Right Triangles Questions 16-24


I’ll give brainliest!

Answers

16 through 24 homework to special right triangles

Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Answers

Answer:

Your answer would be:

[tex]5 \sqrt{3} [/tex]

Step-by-step explanation:

because

Josie recorded the average monthly temperatures for two cities in the state where she lives. For City 1,
what is the mean of the average monthly temperatures? What is the mean absolute deviation of the
average monthly temperatures? Round your answers to the nearest tenth.
Average Monthly Temperatures for City 1 (°F)
45, 37, 64, 50, 44, 49, 73, 76, 27, 23, 49, 45
Average Monthly Temperatures for City 2 (°F)
30, 22, 49, 35, 29, 34,58,61, 12, 8, 34, 30
The mean average monthly temperature in City 1 is
OF.
The mean absolute deviation for the average monthly temperature in City 1 is
OF.

Answers

Answer:

The mean average monthly temperature in City 1 is 48.75°F.

The mean absolute deviation for the average monthly temperature in City 1 is  13.375°F

Step-by-step explanation:

For this case we have the following dataset given:

Average Monthly Temperatures for City 1 (° F)

30, 38, 66, 78, 47, 75, 35, 45, 56, 29, 49, 37

Average Monthly Temperatures for City 2 (° F)

15, 23, 51, 63, 32, 60, 20, 30, 41, 14, 34, 22

For this case the sample mean can be calculated with the following formula:

[tex]$\bar{X}=\frac{\sum_{i=1}^{n} x_{i}}{n}$[/tex]

And replacing we got:

[tex]$\bar{X}_{1}=\frac{30+38+66+78+47+75+35+45+56+29+49+37}{12}=48.75$[/tex]

The mean average monthly temperature in City 1 is 48.75°F.

And now we can calculate the following values:

[tex]$|38-48.75|=10.75$[/tex]

[tex]$|66-48.75|=17.25$[/tex]

[tex]$|78-48.75|=29.25$[/tex]

[tex]$|47-48.75|=1.75$[/tex]

[tex]$|75-48.75|=26.25$[/tex]

[tex]$|35-48.75|=13.75$[/tex]

[tex]$|45-48.75|=3.75$[/tex]

[tex]$|56-48.75|=7.25$[/tex]

[tex]$|29-48.75|=19.75$[/tex]

[tex]$|49-48.75|=0.25$[/tex]

[tex]$|37-48.75|=11.75$[/tex]

And the mean absolute deviation is given by:

[tex]$M A D=\frac{\sum_{i=1}^{n}\left|X_{i}-\bar{X}\right|}{n}=\frac{160.5}{12}=13.375$[/tex]

The mean absolute deviation for the average monthly temperature in City 1 is  13.375°F

Is ther function linear or quadratic?
f(x)=x2-3x+2
A. linear
B. quadratic

Answers

Answer:

it is quadratic because quadratic describes something that pertains to squares and this equations has the term 'x2'

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

did the math

Two interior angles of triangle FGH measure 25° and 50°. What is the measure of ∠HFG?

Answers

Answer: 105

Step-by-step explanation:

This is an interesting question. I would rewrite it as

In triangle FGH, angle FGH=25° and angle FHG=50. What is the measure of ∠HFG?

In the original question, the answer could technically be 25 or 50 is angle HFG.

Assuming that HFG is not equal to 25 or 50, the answer is 180-25-50, or 105. (the sum of the inner angles of a triangle is 180)

Sean arrives at quater to 7 dinner starts at 6:30 is sean early or late for dinner

Answers

Answer:

Sean is late for dinner.

Step-by-step explanation:

A quarter to 7 is 6:45 so he is 15 minutes late to the dinner.

If Sean arrives at quarter to 7 (which means 6:45), he is 15 minutes late for dinner, as dinner started at 6:30.

What is time estimation?

When we say that Sean arrived at quarter to 7, it means that he arrived at 6:45, because a quarter of an hour is equivalent to 15 minutes. We can then compare this time to the time that dinner started, which is 6:30.

If Sean arrived at or before 6:30, he would be considered early for dinner. However, since he arrived at 6:45, he is 15 minutes late for dinner. This means that dinner has already started and he has missed the beginning of the meal.

In general, it is considered polite and respectful to arrive on time for a dinner invitation or any other social event. If you are going to be late, it's always a good idea to let your host know so they can adjust their plans accordingly.

To know more about time estimation follow

https://brainly.com/question/8476295

#SPJ2

Which graph represents function f?
f(x) = (1/3)^x

Answers

Answer:

The second group represents function f.

Step-by-step explanation:

Hope it helps...

Have a great day

A function assigns the value of each element of one set to the other specific element of another set. The correct graph is B.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.

The graph that represents the function can be chosen by substituting the values and checking the function.

If the value of x is kept as 0, then the function will be 1. Therefore, the graph will intersect the y-axis of the graph at 1.If the value of x is kept as 1, then the function will be 1/3. Therefore, the value of y is 0.33.

Hence, the correct graph is B.

Learn more about Function here:

https://brainly.com/question/5245372

#SPJ2

4) There are 4,200 beads in a box. There are 6 bags of beads in each box. If each bag has the same number of beads, how many beads are in each bag? * O 700 O 600 O 820 O 580​

Answers

Answer:

700 beads are in each bag.

Step-by-step explanation:

13 (96) - 14 - (-24)​

Answers

Answer:

1210

Step-by-step explanation:

13(96)-14+24

l248-38

=1210

mations to Determine Similarity
What steps would you take to determine if these
figures are similar? Check all that apply.
Use a scale factor of 2.
Multiply the vertices of polygon ABCD by
O Translate the intermediate image 4 units down.
Perform two different dilations.
Reflect the intermediate image.

Answers

The steps which you would take to determine if these figures are similar include the following:

2. Multiply the vertices of polygon ABCD by 1/2.

5. Reflect the intermediate image.

What is a dilation?

In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.

By critically observing the graph representing polygon ABCD, we can logically deduce that a sequence of transformations that would polygon ABCD (pre-image) onto polygon A"B"C"D" (image) is a dilation by a scale factor of 1/2 and a reflection of intermediate image.

Read more on dilation and scale factor here: brainly.com/question/4421026

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Kareem said that four fifths of his age is 16years how old is Kareem?

Answers

Answer:

12.8 so about 13

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

4/5 of his age = 16

1/5 of his age = 16/4=4

which means that 5/5 of his age = 16+4 = 20

The side adjacent to ∠W is …
Question 1 options:
side 34

side WU

side 90

side VW

Answers

The side adjacent to ∠W is side WU.

9514 1404 393

Answer:

  (b)  side WU

Step-by-step explanation:

With respect to any given acute angle in a right triangle, the sides of the triangle are called "adjacent", "opposite", or "hypotenuse".

The two sides that form angle W are WU and WV. Side WV is the longest, opposite the right angle, so it is the hypotenuse. Side WU is "adjacent" to angle W, and side UV is "opposite" angle W.

(It can help to note that the name of the opposite side UV does not contain the letter of the angle W. The name of the adjacent side WU does contain the letter of the angle.)

4 part question help me pls 100 points
In the diagram, if x =17, what is M In the diagram
if x =35, what is the measure of Arc FE?
If x = 35 what is the measure of Arc EGI?
If the measure of Arc GH = 38, what is the measure of Arc EI?

Answers

9514 1404 393

Answer:

there is no M in the diagram145°325°104°

Step-by-step explanation:

EG and IF are assumed to be diameters of the circle. The measures of the two arcs created by a diameter are 180°.

1. There is no M

__

2. arc EF = arc EG -arc FG = 180° -35°

  arc EF = 145°

__

3. Angle EDI is a vertical angle to angle FDG, so has the same measure: 35°. Long arc EGI will be 360° minus the measure arc EI

  arc EGI = 360° -arc EI = 360° -35°

  arc EGI = 325°

__

4. Arc Gi is double the measure of arc GH, so is 38°×2 = 76°. Arc EI is the supplement to this:

  arc EI = 180° -arc GI = 180° -76°

  arc EI = 104°

What is the volume of this rectangular prism?
1/2cm 4 cm 3/2cm

Answers

Answer:

21cm3

Step-by-step explanation:

A group of students organized a car wash for a fundraiser. The students that rate how much money they could earn from washing cars for six hours?

A. $12.00
B. $18.00
C. $216.00
D. $228.00


4. A company paid $45 for 2 cases of printer paper. Next month the company's office manager will need to order 15 cases of the same paper. If the price per case does not change, what will be the total cost of next month's order?
A. $22.50
B. $45
C. $337.50
D. $675


5. Ben's family is driving on a cross-country trip for their family vacation. The total mileage of the trip is 3,100 miles. After the first 3 days, they have driven a total of 1085 miles. What percent of the driving distance remains after the first 3 days?
A. 85%
B. 65%
C. 35%
D. 31%


Giving Brainly plzzz EXPLIAN

Answers

Number 3: need more info

Number 4: is 337.5.
- first we need i\to find how much one case costs. $45/2 = $22.5
- next multiply $22.5 x 15 which gets you $337.50

Number 5: is 65%
- 100% divided by 3,100 is .03225806
- then multiply .023225806 by 1085 which gets you 35%
- but because it is asking for the remaining it is 100% - 35% which is 65%
Other Questions
2 The table below shows the cost, s, to purchase p pounds of steak at alocal grocery store.Cost of SteakNumber ofPounds (p)2.53.0$23.98$28.77$33.57$38.363.54.0Which statement is true about the relationship shown in the table?A The relationship is proportional, and the equation that represents thisrelationship is s = 9.59 + p.B. The relationship is proportional, and the equation that represents thisrelationship is s = 9.59 + P.The relationship is proportional, and the equation that represents thisrelationship is s = 9.59p.The relationship is not proportional. What is 125% of 144? Which of the following statements concerning the use of support department and joint cost allocations for performance evaluations is not true?A. A manager may not be responsible for the allocation of support department costs if he or she cannot control the square footage of the areas upon which cost allocations are based.B. A manager may miss a performance target because direct materials costs are too high.C. A manager may miss a performance target because he or she has no control over the joint processes prior to his or her department which is after the split-off point.D. It is rare to need further investigation beyond a preliminary analysis when a manager misses a performance target. can someone re word this so it is not plagiarism (By CMI W Sunce Source1. What organism is pictured?2. Name and describe the process is shown on the right.3. What is the name of the circular bodies? What happens there? 4. What were the main goals of Operation Iraqi Freedom?A to remove nuclear weapons and capture known terrorists hiding in IraqB to prevent Saddam Hussein from occupying Kuwait and attacking Saudi ArabiaC to enforce the UN Resolution 687 and prevent Saddam Hussein from making nuclear weaponsD to find weapons of mass destruction and remove Saddam Hussein from power What is the slope of the line? If the point (x,y) is in Quadrant IV, which of the following must be true? x0 x>0 and y choose one element of ancient greek culture presented in this story and contrast it with your culture. What were the three main reasons that Southern states supported slavery? Pleaseeeeee helppppppp what is a chemical equation (- x * y) ^ 2 - 8x ^ - 7 * y ^ - 2I need help fast!!!What is the answer?? P Ltd owns all the share capital of S Ltd. Below are some intragroup transactions that occurred during the financial year ended 30 June 2023 A.. S Ltd sold $50,000 worth of inventory to P Ltd. S Ltd recorded $10,000 profit before tax on this transaction. At 30 June 2023, P Ltd has one-quarter of these goods still on hand. B. S Ltd sold a warehouse to P Ltd for $100,000. This warehouse had originally cost S Ltd $82,000. The transaction took place on 1 January 2023. P Ltd charges a straight-line annual depreciation rate at 5%.Required: 1. Prepare the adjusting journal entries to eliminate the sale of inventory and its tax effect accounting for the consolidation worksheet at 30 June 2023 assuming an income tax rate of 30% and that all income of sale of assets is taxable and expenses are deductible. Narrations are not required 2. Prepare the adjusting journal entries to eliminate the sale of the warehouse Internal failure costs are associated with testing, labs, and inspectors. O True O False Distinguishing between fact and opinion and point of view Drawing valid inferences and conclusions . Assessing the credibility or objectivity of the writer 1. Many people want you to see the cause-and-effect relationships that they believe exist, and they often use questionable or outright fallacious reasoning to support their point of view. Consider the following examples: a) Politicians assure you that a vote for them will result in "a chicken in every pot and a car in every garage". b) Advertisers tell you that using their detergent will leave your wash "cleaner than clean, whiter than white." c) Doctors tell you that eating a balanced diet will result in better health. d) Educators tell you that a college degree is worth an average of $830,000 in additional income over an individual's life. e) Scientists inform you that nuclear energy will result a better life for all of us. plz help 50 points50 pointsssssWhen the American space exploration program began, the focus was primarily to maintain the nations security. In the years since The Unseen Values was written, scientists have now discovered that much more is possible. Explore the tour of the International Space Station. When you are finished, write a journal entry that describes one of NASAs goals for the future of space explorationplz don't take the other people answer cause their wrong The maximum speed that a sailboat can reach depends on the size of the boat. The graph below shows the maximum speed, v, that a sailboat can reach as a function of its length, l.Complete the following sentences based on the graph of the function.1. The longer the sailboat is, the [FASTER/SLOWER] it can go.2. For a boat to reach the speed of 101010 kilometers per hour, it needs to be at least __ feet long.3. The maximum speed that an 888-foot boat can reach is __ kilometers per hour.4. A 16-foot sailboat at top speed is [1.5 times/2 times/2.5 times/3 times/3.5 times] as fast as a 4-foot sailboat at top speed. If a 9V, 7W radio is on from 9am to 12pm. Calculate the amount of charge that flows through it, hence or otherwise the total number of free electrons that pass through at a point at the power supply terminals Pls help me complete this