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]
3 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]3 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
Help me with this please
liraira [26]

Answer:

B

Step-by-step explanation:

the data value of x is 0 the the value would be .75 times that by 2 get 1.25

8 0
2 years ago
The pressure of a gas p(v) varies inversely with the volume of the gas v. The pressure of a gas measures 25 kg/cm2 when its volu
dsp73
A


Mark brainliest please


Hope this helps you
5 0
2 years ago
What is the answer for this question?
Len [333]
The correct answer is D
4 0
3 years ago
Read 2 more answers
Find the product.
RUDIKE [14]

Answer:

C.  3x2 − 3x − 60

Step-by-step explanation:

3(x + 4) (x - 5) = (3x+12) (x-5)

(3x+12) (x-5) = 3x2+12x-15x-60

3x2+12x-15x-60 = 3x2 − 3x − 60

8 0
3 years ago
Read 2 more answers
Please I need some help
gulaghasi [49]
Id day B. 2.2 kilometers, but its just an estimate
5 0
3 years ago
Other questions:
  • What is the slope of the line passing through the points (−3, 4) and (4, −1)?
    5·1 answer
  • Which expression is equivalent to 36^-1/2
    12·2 answers
  • What’s the equation that would solve the surface area of the box
    8·1 answer
  • Section J in an arena has 20 rows. Each row has 15 seats. All tickets cost 18 dollars each. If all of them are sold, how much mo
    11·2 answers
  • What is the measure of the missing length?
    10·1 answer
  • The travel agent surveyed tourists at random and constructed a 95% confidence interval for the proportion of tourists who were e
    7·1 answer
  • PLEASE HELP! its due todayy :D
    14·2 answers
  • Divide use estimation to check your answer
    9·2 answers
  • Find the value of x in the isosceles triangle shown below
    12·2 answers
  • If 34 container of paint covers 35 of a wall, which statement is true?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!