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
Find 51% of 140, Round to the nearest tenth if necessary.
viktelen [127]

Answer:71.4

Step-by-step explanation:140*51%

7 0
3 years ago
Read 2 more answers
What times is equal to 75​
Ne4ueva [31]

Answer: 5 x 15= 75

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
There were a number of people at a conference. After 19 people went home, 23
Travka [436]
There were 42 people at the conference
5 0
3 years ago
117<br> X<br> x + 3<br> Find the value of x.<br> A. 4<br> В. 5<br> C. 6<br> D. 9
Andre45 [30]

Answers:

1. D po

Step-by-step explanation:

i hope its hepl

3 0
3 years ago
One operator is holding a laser pointer at a height of 9 feet whose beam is reflected on a horizontal reflecting surface at a po
lutik1710 [3]

Answer:

The height (in feet) at which the laser will impact the wall is 6.75 feet

Step-by-step explanation:

The given parameters are;

The height from which the laser beam operator is holding the laser = 9 feet

The horizontal distance away from the pointer the beam is reflected = 8 feet

Given that we have;

f(x) = \dfrac{9}{8} \times \left | x - 8\right | = y

When x = 8, the point of reflection, the height, f(x) is given as follows;

f(x) = \dfrac{9}{8} \times \left | 8 - 8\right | = 0

When x = 7, the point of reflection, the height, f(x) is given as follows;

f(x) = \dfrac{9}{8} \times \left | 7 - 8\right | = \dfrac{9}{8}

Therefore, given that the point of reflection is at an elevation of 0 relative to the 9 feet of the laser source (pointer), by tan rule, we have;

tan(\theta) = \dfrac{Opposite \ side}{Adjacent \ side} =\dfrac{9}{8} = \dfrac{h}{7}

Where;

h = The height at which the laser meets the wall

h = \dfrac{9 \times  7}{8} =7.875

Given that the wall the laser meets is at the point x with elevation 9/8, the height, y, at which the laser meets the wall is therefore;

y = \dfrac{9 \times  7}{8} - \dfrac{9}{8} = \dfrac{54}{8} = 6.75 \ feet

The height (in feet) at which the laser will impact the wall = 6.75 feet.

7 0
3 years ago
Other questions:
  • How do I work this problem out?
    12·1 answer
  • Is 6.700 equal to 6.7?
    5·2 answers
  • 8&lt;2m<br> line under the &lt;
    5·2 answers
  • How do you simplify 29/40
    13·2 answers
  • A science teacher collects 19 pints of lake water for a lab she is teaching.The lab requires each student to use 4 fluid ounces
    13·1 answer
  • The temperature of a freezer is never greater than -2 Celsius. Yesterday the temperature was at -10 Celsius, but it increased at
    15·1 answer
  • 1. $30;20% markup
    10·1 answer
  • Best Answer gets brainly!Thanks for helping :D
    5·2 answers
  • Amy ate of a pizza and Jack ate of a pizza. Which of the following is true?
    8·1 answer
  • 65. If the diameter of the sphere is halved, what will be the difference in volume?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!