1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zavuch27 [327]
2 years ago
9

The accompanying summary data on total cholesterol level (mmol/l) was obtained from a sample of Asian postmenopausal women who w

ere vegans and another sample of such women who were omnivores. Diet Sample Size Sample Mean Sample SD Vegan 85 5.10 1.05 Omnivore 96 5.55 1.20 Calculate a 99% CI for the difference between population mean total cholesterol level for vegans and population mean total cholesterol level for omnivores. (Use μVegan − μOmnivore. Round your answers to three decimal places.)
Mathematics
1 answer:
dimulka [17.4K]2 years ago
8 0

Answer:

99% CI:

-4.637\leq\mu_v-\mu_o\leq 3.737

Step-by-step explanation:

We have to calculate a 99%CI for the difference of means for the vegan and the omnivore.

First, we have to estimate the standard deviation

s_{Md}=\sqrt{\frac{2MSE}{n_h}}

The MSE can be calculated as

MSE=\frac{(SSE_1+SSE_2)}{df} =\frac{(n_1s_1)^2+(n_2*s_2)^2}{n_1+n_2-2}\\\\MSE=\frac{(85*1.05)^2+(96*1.20)^2}{85+96-2}=\frac{7965.56+13272.04}{179} =118.65

The weighted sample size nh can be calculated as

n_h=\frac{2}{1/n_1+1/n_2}=\frac{2}{1/85+1/96}=\frac{2}{0.0222} =90.16

The standard deviation then becomes

s_{Md}=\sqrt{\frac{2MSE}{n_h}}=\sqrt{\frac{2*118.65}{90.16}}=\sqrt{2.632} =1.623

The z-value for a 99% confidence interval is z=2.58.

The difference between means is

\Delta M=M_v-M_o=5.10-5.55=-0.45

Then the confidence interval can be constructed as

\Delta M-z*s_{Md}\leq\mu_v-\mu_o\leq \Delta M+z*s_{Md}\\\\ -0.45-2.58*1.623\leq\mu_v-\mu_o\leq -0.450+2.58*1.623\\\\-0.450-4.187\leq\mu_v-\mu_o\leq-0.450+4.187\\\\-4.637\leq\mu_v-\mu_o\leq 3.737

You might be interested in
Find the measure of each interior angle in a regular 18-gon
EastWind [94]

Answer:

A polygon with 18 sides has 18 interior angles. Therefore, to find the measure of one of these angles, divide the sum by 18. Answer: Each angle is 160 degrees.

Step-by-step explanation:

5 0
2 years ago
A square playground has sides that each measure 120 feet in length.
aleksandr82 [10.1K]

Answer:

120/5

24 inches.

Step-by-step explanation:

5 0
3 years ago
!PLS HELP I WILL GIVE BRAINLEST!
AysviL [449]

The answer would be 18 square units

Step-by-step explanation:

When talking about surface area, just add up all the units that is listed in the question. - just a tip ;)

Anyways, Hope this helps!! If it's wrong, feel free to curse me out.. haha...

6 0
3 years ago
Find the value of x<br> 48°<br> 132°<br> 132°<br> X°
enot [183]

Answer:

X°

Step-by-step explanation:

there’s no other clues to what it could be, and since it’s x it would be X°

5 0
3 years ago
the area of a rectangle city park is 25/54 sqaure miles. the length of the park is 5/9 mile. what is the width in miles of the p
andreyandreev [35.5K]
A = lw

Plug in what we know:

25/54 = (5/9)w

Divide 5/9 to both sides or multiply by its reciprocal, 9/5:

25/54 * 9/5 = w

Multiply the numerators and denominators together:

225/270 = w

Simplify:

<span>w = 5/6</span>
6 0
3 years ago
Other questions:
  • T-charts, slope, and a point on the line are methods used to graph a ____ equation
    10·2 answers
  • PLEASE HELP MEE
    14·2 answers
  • Can i pls have help?
    14·1 answer
  • Simplify the expression: 2b + 4 – b – 4<br> A: b<br> B: 3b<br> C: b+8<br> D: b-8
    9·2 answers
  • Please help I don’t understand this and it’s due today in a bit
    15·1 answer
  • Help I will be marking brainliest!!!
    8·2 answers
  • A carpenter cuts a 5 feet 11 inch piece of board from a 10 feet 9 inch piece. What is the
    7·1 answer
  • In a 30°-60°-90° triangle, the length of the hypotenuse is 30. Find the length of the shorter leg.
    13·2 answers
  • The distance to school from Steven's house is 3/5 of a mile. Steven walked 2/3 of the way there and stopped to rest. How far did
    11·1 answer
  • Please help what is the answer
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!