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
Robert earns $498.00 for 40 hours of work. How much does he earn if works 30 hours at the same pay rate? Do not round your answe
elena55 [62]

Answer:$373.50

Step-by-step explanation:

$498.00 divided by 40 is 12.45

12.45 times 30 is $373.50

7 0
2 years ago
Read 2 more answers
EVERYYYYY STEP !!!!<br><br><br><br> -3y+4=-11
Alexandra [31]
-3y +4 = -11
-4 -4

-3y = -15
—— —-
-3y -3y



Y= 5
3 0
2 years ago
My friend recently proved 0=1 and i know something is wrong but i dont know what
konstantin123 [22]

Step-by-step explanation:

Remember when expanding radicals,

\sqrt{ab}  =  \sqrt{a}  \times  \sqrt{b}

When expanding radicals into two radicals, we don't let our radicand have two negative answers.

i  =  \sqrt{ - 1}

{i}^{2}  =  - 1

We don't do this

(\sqrt{ - 1} ) {}^{2}  =  \sqrt{ - 1 \times  - 1}

- 1 =  \sqrt{1}

- 1 = 1

5 0
2 years ago
Read 2 more answers
What is 28 divided by 3.2 ?? Please include steps :(
expeople1 [14]

thats the answer just look at the picture :)

for the work

8 0
3 years ago
Question 1 (Essay Worth 10 points)
zysi [14]

$394.51 is future value of money after 2 years.

What future value means?

  • A current asset's future value (FV), which is based on an estimated rate of growth, is its value at a later time.
  • Investors and financial planners use the future value to project how much an investment made now will be worth in the future.

The method that results in more money after 2 years is Peggy's investment.

Which method results in more money in 2 years?

The formula for calculating the future value of an investment:

FV = P (1 + r)^nm

FV = Future value

P = Present value

R = interest rate

m = number of compounding

N = number of years

Future value of Larry's investment: $350 x [1 + (0.04/4)]^(4 x 2) = $379

Future value of Peggy's investment: $350 x [1 + (0.06/12)]^(12 x 2) = $394.51

Learn more about future value

brainly.com/question/14860893

#SPJ13

4 0
1 year ago
Other questions:
  • What is 304,001 in word form and expanded form
    8·1 answer
  • Please help with this 1 question. 25 points
    14·1 answer
  • Ann cleans an apartment in 12 hours and liz cleans an apportment in 18 hours. How long would it take to clean an appartment toge
    8·1 answer
  • Solve the following system of equations by linear combination:
    13·1 answer
  • A basketball costs $15.00. If the sales tax is 6%, which equation can be used to find the amount of tax?
    9·1 answer
  • Hlpppppp plesaseeeeeeeeeeeeeeeee
    15·1 answer
  • Jonah buys a television that costs $445. Sales tax in his state is 7 percent. Which of the following expressions represent the a
    5·1 answer
  • Find the slope of the line.
    13·1 answer
  • Solve and describe the steps used to find x for the equation : <br> 7x - 4 = -4x + 18
    15·2 answers
  • May someone help me please :)
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!