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
larisa86 [58]
3 years ago
10

"A laboratory tested 73 chicken eggs and found that the mean amount of cholesterol was 230 milligrams with LaTeX: \sigmaσ = 17.4

milligrams. Construct a 95% confidence interval for the true mean cholesterol content, μ, of all such eggs."
Mathematics
1 answer:
Scrat [10]3 years ago
4 0

Answer:

The 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is between 226.01 and 233.99 milligrams.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96*\frac{17.4}{\sqrt{73}} = 3.99

The lower end of the interval is the sample mean subtracted by M. So it is 230 - 3.99 = 226.01

The upper end of the interval is the sample mean added to M. So it is 230 + 3.99 = 233.99.

The 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is between 226.01 and 233.99 milligrams.

You might be interested in
The moon is about 240,000 miles from Earth. What is the distance written as a whole number multiplied by a power of ten?
spin [16.1K]

The answer is 24 * 10^4

Since we’re asked for a whole number, we count the number of zeros after the first nonzero numbers. In this case, our first non-zero numbers are 2 and 4 (24). The number of zeros after these numbers  are four (4). The number of zeros indicates the power number of 10.

Had we been asked for a decimal number   and a power of 10, then the answer  would have been 2.4 * 10^5


8 0
3 years ago
Read 2 more answers
Find the value of x. Round to the<br> nearest tenth.<br> X<br> 37<br> 6<br> X=<br> Enter
Schach [20]

<u>Answer:</u>

<h2>x ≈ 4.5</h2>

<u>Steps:</u>

tan(37°) = 0.75..

tan(37°) = x/6

x/6 = 0.75..

x = 0.75.. × 6

x = 4.52.. ≈ 4.5

4 0
3 years ago
Given: ∆ABC ≅ ∆DEF<br> Find: AB and m∠F
emmasim [6.3K]

AB =~ DE

angle F =~ angle C

3 0
3 years ago
What is the volume of the prism? Enter your answer in the box as a mixed number in simplest form.​
OLEGan [10]

Answer:

67.5

Step-by-step explanation:

4.5x6x2.5=67.5

4 0
2 years ago
If the smaller of two numbers is one-half of the larger number and the sum of the two numbers is 81 , find the numbers.
zavuch27 [327]
Let smaller number be x/2 and the larger number x.

x/2 + x = 81
x/2 + x = 3x/2
3x/2 = 81
3x = 162
x= 54

The smaller number is 54/2= 27 and the larger number is 54.
4 0
2 years ago
Other questions:
  • Round to the nearest tenth. 8.54
    12·2 answers
  • Find the 27th term in the arithmetic sequence of 59,56,53,50
    14·1 answer
  • Allie noticed that to get her test grade, she could take Valerie's grade, multiply it by 2 and subtract 15. If Valerie's test gr
    15·2 answers
  • 4 days ago the gas tank on Ryan's boat was filled with 30 gallons of gasoline today he has 8 gallons of gasoline what is the mea
    11·2 answers
  • The airline that Vince is using has a
    11·1 answer
  • Find the measure of each angle in the isosceles trapezoid
    6·1 answer
  • How any shapes s in a pentagon
    10·1 answer
  • Write a conjecture using this information.
    6·2 answers
  • Can someone help me please I put the picture
    6·1 answer
  • Convert 28 cubic inches into cubic centimeters.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!