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
andrew11 [14]
3 years ago
14

The amount of lateral expansion (mils) was determined for a sample of n = 8 pulsed-power gas metal arc welds used in LNG ship co

ntainment tanks. The resulting sample standard deviation was s = 2.89 miles. Assuming normality, derive a 95% CI for? 2 and for?
Mathematics
1 answer:
Alona [7]3 years ago
6 0

Answer:

95% Confidence interval for the variance:

3.6511\leq \sigma^2\leq 34.5972

95% Confidence interval for the standard deviation:

1.9108\leq \sigma \leq 5.8819

Step-by-step explanation:

We have to calculate a 95% confidence interval for the standard deviation σ and the variance σ².

The sample, of size n=8, has a standard deviation of s=2.89 miles.

Then, the variance of the sample is

s^2=2.89^2=8.3521

The confidence interval for the variance is:

\dfrac{ (n - 1) s^2}{ \chi_{\alpha/2}^2} \leq \sigma^2 \leq \dfrac{ (n - 1) s^2}{\chi_{1-\alpha/2}^2}

The critical values for the Chi-square distribution for a 95% confidence (α=0.05) interval are:

\chi_{0.025}=1.6899\\\\\chi_{0.975}=16.0128

Then, the confidence interval can be calculated as:

\dfrac{ (8 - 1) 8.3521}{ 16.0128} \leq \sigma^2 \leq \dfrac{ (8 - 1) 8.3521}{1.6899}\\\\\\3.6511\leq \sigma^2\leq 34.5972

If we calculate the square root for each bound we will have the confidence interval for the standard deviation:

\sqrt{3.6511}\leq \sigma\leq \sqrt{34.5972}\\\\\\1.9108\leq \sigma \leq 5.8819

You might be interested in
Write x^2-4x+7 in the form (x+a)^2+b where a and b are constants.
Novosadov [1.4K]

Answer:

wiat

Step-by-step explanation:

8 0
2 years ago
Consider the system of equations below. What could be the first step in solving by elimination?
Mrrafil [7]
<h2>Answer:</h2>

The first step would be to multiply the bottom equation by -1 to eliminate x, then you would combine like terms, like 5y + 2y, and 16 + 10.

6 0
2 years ago
Read 2 more answers
(EASY POINTS) Answer num: 5 with a detailed explanation. :)
geniusboy [140]

Answer:

There is no picture

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Two number cubes are rolled and the results are added. What is the probability that the sum is equal to 2?
vodomira [7]

Answer:

Well, assuming that these are cubes labeled 1-6, there is a 1/12 chance of the sum equaling 2, since they would both have to land on 1

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A 6-kilograms<br> bag of potting soil costs $4.08. What is the unit price?
Yanka [14]

Answer:

$0.68 or 68 cents

Step-by-step explanation:

4.08/6 = .68

5 0
2 years ago
Other questions:
  • There are approximately 402 1/4 m around a typical running track Sandra has challenged yourself to run 10 laps a day for five da
    12·1 answer
  • There are 3 pink, 3 violet, 4 yellow, and 2 brown marbles in a hat. you pick 2 marbles from the hat. marbles are not returned af
    10·1 answer
  • A regular heptagon has sides measuring 26mm and is divided into 7 congruent triangles. Each triangle has a height of 27mm. What
    12·1 answer
  • Write the explicit formula for the nth term of the arithmetic sequence 14, 28, 42.56
    15·1 answer
  • Gina has been offered a job as a dog walker. The job pays $10 each week plus $5 per dog walked. Gina’s goal is to earn $75 each
    12·2 answers
  • 3/4 -2 4/5 I NEED HELP ASAP PLS HELP ME
    9·2 answers
  • Kế hoạch đi dã ngoại của một gia đình sẽ bị hủy nếu trời có mây hoặc mưa. Biết xác suất để trời có mây là có mưa là có cả mây và
    11·1 answer
  • Which best describes the association between variables x and y
    7·1 answer
  • 7/12 of £72!!!!<br> i really need the answer lol
    15·2 answers
  • What point has the coordinates
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!