From Barbie dolls to runway models, women in Western countries are exposed to unrealistically thin and arguably unhealthy body standards for their gender. A body mass index (BMI) between 18.5 and 24.9 is considered healthy. Using a 3D computer avatar, participants built what they considered the ideal body of an adult of their own gender. Below appears a summary of the results for a sample of 40 female heterosexual Caucasian undergraduate students from British universities that had been recruited by the researchers. Mean BMI was recorded to be 18.85 with standard deviation 1.75. Does the data provide evidence that young Caucasian women in British Universities, on average, aim for an unhealthy ideal body type (corresponding to a BMI less than 18.5)? Use α = 0.10.

Required:
a. Construct a 99% confidence interval for the mean BMI for young Caucasian women in British universities using R. Use at least 2 decimals in your answer.
b. Would a 99% CI (for the mean BMI) constructed using a smaller sample than the one used for part a) tend to be wider or narrower? Explain.

Answers

Answer 1

Answer:

(18.1361 ; 19.5639) ;

using a smaller sample will widen the margin

Step-by-step explanation:

Given :

Xbar = 18.85

Standard deviation, s = 1.75

Sample size, n = 40

Confidence interval is obtained using the relation :

Xbar ± Margin of error

Margin of Error = Zcritical * s/ √n

Zcritical at 99% = 2.58

Margin of error = 2.58 * (1.75/√40) = 0.7139

Lower boundary = 18.85 - 0.7139 = 18.1361

Upper boundary = 18.85 + 0.7139 = 19.5639

(18.1361 ; 19.5639)

B.)

The sample size, n being the denominator in the margin error formula increases the error value as it reduces or decreases in value Hence widens the interval. Conversely, increasing the sample size reduces the error margin value and ultimately narrows the interval.

Therefore, using a smaller sample will widen the margin


Related Questions

Using the rule y= 3x + 4, find the value of y when xis 2.
OS
A)
9
B)
10
11
D
12
Help I need this fast

Answers

Step-by-step explanation:

given

[tex]y = 3x + 4[/tex]

[tex]y(2) = 3(2) + 4 \\ = 6 + 4 = 10[/tex]

Answer:

B) 10

Step-by-step explanation:

y=3x+4

y=3(2)+4

y=6+4

y=10

Hope this helps!

please need help.

find x round to the nearest tenth if necessary.​

Answers

Answer:

it's 21 because if you do 7x3 you get =21

please someone help me with this ASAP with the workout!!

Answers

The answer is 18 cm
Half of 72 is 36
Since YZ is 30, you would subtract 30 from 36 in order to get XY, so you would get 6 for XY
Half of circle W is 24, since it says the diameter of it is 48
So you would subtract XY from half of the diameter of W in order to get WX
It would look like this:
24-6=18

Answer:

18cm

Step-by-step explanation:

which situation could be described by the equation p + 3/4 2/2 F. Dara poured all the flour she had into a bowl and added 3/4 cup of milk to make 2 1/2 cups of cake batter what amount of flour did she use? G. the week's meeting of the math club lasted 2 1/2 hours which was 3/4 of an hour less than last week's meeting what was the length in hours of last week's meeting H. Mr. Lopez is driving to work a distance of 2 1/2 miles he will stop at a post office when he is 3/4 of the way there what is the distance to the post office J. A yard of cheesecloth costs $0.75 How many yards of cheesecloth could you buy for $2.50

Answers

Answer:c

Step-by-step explanation4/8= 1/2

3*1/2= 1.5

Janet uses 1 and 1/2 cups of flour this week.

That is less than four cups, so we can eliminate statement A and B.

It is not less than one though because 1.5>1

"C" is the correct answer. She uses less than four cups because 3/8 (1.5) is less than 4.:

Triangle ABC and triangle DEF are similar. What is the measure of side DF?

Answers

I am going to say 15 but I am not sure since there is no pic

pls help 20 points easy problem

Answers

Answer:

A is the answer

Step-by-step explanation:

-X* - Y= XY

Help due tonight.. *no links please*

Answers

Answer:

measure of angle 3= 109

angle 2=71

angle 1=109

Step-by-step explanation:

a straight line =180

find length of side (x)

Answers

Answer:

choice D) x = 6.6

Step-by-step explanation:

sin 27° = 3/x

0.4540 = 3/x

x = 6.6

Tendons are tissues that connect _____________ to bone.
a) ligaments
b) cartilage
c) muscles
d) nerves

Answers

Answer:

c). Muscle

tendons are tissues that connect muscles to bone

hope it helps

Answer:

b

Step-by-step explanation:

Your body mass index (BMI) is your weight in kilograms divided by the square of your height in meters. Many online BMI calculators allow you to enter weight in pounds and height in inches. High BMI is a common but controversial indicator of overweight or obesity. A study by the National Center for Health Statistics found that the BMI of American young men (ages 20 to 29) is approximately normal with mean 26.8 and standard deviation 5.2. People with BMI less than 18.5 are often classed as "underweight." What percent of young women are underweight by this criterion? Sketch and shade the area of interest under a Normal curve.

Answers

Answer:

5.5227%

Step-by-step explanation:

Z score formula = (x-μ)/σ

where x is the raw score = < 18.5

μ is the population mean = 26.8

σ is the population standard deviation = 5.2

For x < 18.5

z = 18.5 - 26.8/5.2

z = -1.59615

Probability value from Z-Table:

P(x<18.5) = 0.055227

Converting to percentage

= 0.055227 × 100

= 5.5227%

Therefore, the percentage of young women that are underweight by this criterion is 5.5227%

Solve by substitution: y=3x and x+y=-32

Answers

I hope this helps good luck

Answer:

X=-8, y=-24

Step-by-step explanation:

Y=3x

x+y=-32

substitute value of y (3x) from first equation to the second equation

x+3x=-32

4x=-32

x=-8

solve for y by putting value of x (-8) into either equation

y=3x

y=3(-8)

y=-24

0r

x+y=32

-8+y=-32

y=-24


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

<YXZ and <TUS

Step-by-step explanation:

Alternate exterior angles are angles that are found on opposite sides of a transversal and are found just outside each parallel line that the transversal crosses.

Looking at the diagram given and considering the options available, the angles that are alternate exterior angles are:

<YXZ and <TUS

heya Guys


it's too hot here
am about to die

since 6 hrs I am spraying chilled water

save me
becoming omlette here​

Answers

Answer:

..........................




5. Area = 36cm
HM = 12 cm
OE = x​

Answers

Answer:

I'm going to guess and say that if HM is one side and OE is the other side of a rectangle, then:

OE = 3 cm

Step-by-step explanation:

36/12 = 3 cm

Answer:Since all the three sides of the triangle are of equal length, we can find the perimeter by multiplying the length of each side by 3. 20 + 20 + 20 = 3 × 20 = 60 cm. Thus, the perimeter of an equilateral triangle is 3 times the length of each side. Area of a two-dimensional shape is the space occupied by the shape.

Step-by-step explanation:

i tryed.

please help!! solve ΔPQR Your answer should include the length of r and the measures of angle P and angle Q.


Include all relevant calculations, and use the correct units for all measures. Be sure explanations are written in complete sentences.

Answers

9514 1404 393

Answer:

r ≈ 15.90 mP ≈ 63.27°Q ≈ 26.73°

Step-by-step explanation:

The triangle is a right triangle, so the length of r can be found using the Pythagorean theorem.

  r = √(14.2² +7.15²) = √252.7625

  r ≈ 15.8985 ≈ 15.90 . . . meters

__

The angles can be found from the tangent relation.

  Tan = Opposite/Adjacent

  tan(P) = 14.2/7.15

  P = arctan(14.2/7.15) ≈ 63.2738° ≈ 63.27°

Angle Q is the complement of angle P.

  Q = 90° -63.27° = 26.73°

IF YOU AWNSER THIS QUESTION ILL GIVE YOU 1$

Write the equation of the line that is parallel to the line y=2x+1 that passes through the point (-3, -2).

Answers

Answer:

what i got was

y-1=2x-8¬y=2x-7

Help! I’ll give brainliest it’s on quadratic equations

Answers

Answer:

divide b by 2 and square it to get c:

-20/2 = -10

[tex](-10)^2 = 100[/tex]

second part: (x - 10)(x - 10) or [tex](x-10)^2[/tex]

Answer:

x (x-20)

Step by step

Express 35 1/3 in simplest radical form.

Answers

3√35-simplest radical form

What is the product?
5
-2.
-6
2
-7
8
-5
2.
6.
-2
-3
A
4 -3
-7
1
Mark this and retum

Answers

Step-by-step explanation:

correct answer is

[tex] \binom{ - 5 \: 2}{6 \: - 2} [/tex]

What is the gradient?

Answers

Answer:

Gradient = 2

Step-by-step explanation:

Gradient of a line = Slope of the line

Since, slope of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

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

Given line in the graph passes through two points (1, 0) and (2, 2)

Therefore, slope or gradient of the line = [tex]\frac{2-0}{2-1}[/tex]

                                                                  = 2

Gradient = 2 will be the answer.

Lines a and b are parallel and lines e and f are parallel. Vertical and parallel lines a and b are intersected by horizontal lines e and f. At the intersection of lines a and e, the top left angle is angle 1 and the top right angle is angle 2. At the intersection of lines b and e, the bottom left angle is angle 3. At the intersection of lines b and f, the uppercase right angle is angle 4 and the bottom left angle is angle 5. If m1 = 89°, what is m5? 1 89 91 179

Answers

Answer:

answer is c

Step-by-step explanation:

angle m5 is 91

angle 1 = 89

angle 5= x

180=89-x

180=89+91

Answer:

c (91)

Step-by-step explanation:

trust me

2x+5+(6x+1)

Help please.

Answers

Answer:

14x

Step-by-step explanation:

The (6x+1) = 7 and the other equation also equals 7 so you add together and just ad the x variable since there is no answer

A reading specialist wanted to estimate the mean word length, in number of letters, for an elementary school history textbook. The specialist took repeated random samples of size 100 words and
estimated the mean and standard deviation of the sampling distribution to be 4.9 letters and 0.15 letter, respectively.
Based on the estimates for the sampling distribution, which of the following provides the best estimates of the population parameters?

Answers

Answer:

Mean 4.9 letters and standard deviation 1.5 letters

Step-by-step explanation:

Use the distributive property to multiply the expression.9m (7m+2)

Answers

Answer:

63m^2 + 18m

Step-by-step explanation:

9m x 7m + 9m x 2  

63m^2 + 9m x 2

63m^2 + 18m

the ^2 meaning exponent 2

(4x+12) (7y-8)
(7y+20)
120*

Answers

Answer:

12, 12

Step-by-step explanation:

4x+12=60

x=12

7y-8+7y+20=180

14y=180-12

y=168/14

y=12

Find the area of the composite shape:
5 cm
14 cm
14cm
4 cm
The area to the composite shape is:

Answers

Answer:

5×14×14×4=3,920 cm

Step-by-step explanation:

Multiply all numbers to find the area.

5x(30 divided by 6)2

Answers

Answer:

50

Step-by-step explanation:

y+7=5x
-3x-2y=-12
solve for x and y

Answers

Answer:

y=3

x=2

Step-by-step explanation:

Making substitution

y+7=5x

y=5x-7

Substituting the y into the other equation

-3x-2(5x-7)=-12

-3x-10x+14=-12

-13x=-14-12

-13x=-26

x=2

We have x=2 then substitute it into the first equation

y+7=5(2)

y+7=10

y=10-7

y=3

So the answer is

y=3

x=2

Answer:

x=2 and y=3

Step-by-step explanation:

After solving, you can check your work by substituting the values of x and y into the equations and solving for them.

3+7=10

10=10

-6-6= -12

-12 = -12

which function has a greater slope​

Answers

Function A I think....

Can somone Provide some assistance?​

Answers

THANKS

HAHHAHAHAHAHAHAHAHAHAHAHAHAHA

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