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
In a study of 30 high school students, researchers found a high correlation, 0.93, between amount of exercise and weight lost. W
zloy xaker [14]

Answer:

Option A is true

The researchers proved that exercise causes weight loss only for high school students.

Step-by-step explanation:

We are told that the researchers found a high correlation, 0.93, between amount of exercise and weight lost.

Now, looking at each of the options;

- A is True because due to the high correlation, the research proves that exercise causes weight loss but only for high school students.

- B is not true because we are told the correlation is very high at 0.93. Thus, it is untrue that there is no proven causation.

-C is not true because there's no where that the researchers have completely proved that exercise causes weight loss generally. It is only peculiar to the high school students studied.

-D is not true because the 93% is just a correlation and not a percentage of those who lost weight

8 0
3 years ago
Alissa has$75 worth of bird seed, which she will put into small bags. she will sell each bag for $7. what is the greatest number
strojnjashka [21]
The answer would be eight

4 0
3 years ago
Can the numbers 24 32 and 40 be the lengths of a right triangle?
MAXImum [283]

I don’t get it sorry

7 0
3 years ago
Please help mee i dont understand
castortr0y [4]

Answer:

Step-by-step explanation:

(2x-5)(x+6)=0

either 2x-5=0               Or, x+6=0

2x-5=0

2x=0+5

x=5/2

x+6=0

x=0-6

x=-6

so x=5/2 , x=-6

3 0
3 years ago
Read 2 more answers
'The coordinates of the endpoints of CD
Leona [35]
C(-4;-2);\ D(14;\ 2)\\\\the\ x-coordinate\ of\ the\ midpoint\ of\ CD:x=\frac{-4+14}{2}=\frac{12}{2}=6
8 0
3 years ago
Other questions:
  • Logan's e-reader sent a notification saying that he has completed 75% of the e-book.
    15·1 answer
  • Please help me solve this
    13·1 answer
  • Choose the equation below that represents the line that passes through the point (7,2) and has a slope of -3
    15·2 answers
  • Twelve years ago, Jane was five times as old as Anne. In three years' time, Anne will be half Jane's
    8·1 answer
  • 8x-3y=3<br> 2x+y=-15<br><br> solve by eliminaion.
    5·2 answers
  • An auto parts store is examining how many items were purchased per transaction at the store as compared to their online website.
    11·1 answer
  • Which line appears to have a y-intercept of 5 and an x-intercept of 3
    10·1 answer
  • Help me create three polynomials that match the criteria on the left
    8·1 answer
  • 2. Find the sum of the digits of each multiple of 9 below.
    10·1 answer
  • Estimate the area for the figure below. Assume that each square in the grid is one square inch.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!