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
cupoosta [38]
3 years ago
8

An electronic device factory is studying the length of life of the electronic components they produced. The manager selects two

assembly lines and takes all samples on those two lines. He got a sample of 500 electronic components and records the length of life in the life test. A histogram indicates that the lifespans have moderate right skew. From the sample he found the average length of life was 200,000 hours and that the standard deviation was 1,000 hours. He wants to find the confidence interval for the average length of life of the electronic components they produced. Based on the information, what advice will you give to him
Mathematics
1 answer:
Temka [501]3 years ago
3 0

Answer:

The confidence interval will be given by:

200000 \pm 44.72z, in which z is related to the confidence level.

For a confidence level of x%, z is the value in the z-table that has a pvalue of 1 - \frac{1 - z}{2}

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In the context of this problems:

It means that the sampling distributions of the sample mean of 500 components will be approximated normal, with mean 200,000 and standard deviation s = \frac{1000}{\sqrt{500}} = 44.72

To build the confidence interval:

The confidence interval for the average length of life of the electronic components they produced will be given by:

200000 \pm 44.72z, in which z is related to the confidence level.

For a confidence level of x%, z is the value in the z-table that has a pvalue of 1 - \frac{1 - z}{2}

You might be interested in
I don’t understand how to factor trinomials
gayaneshka [121]
When the X term is one, and doesn't have a leading coefficient, then you can factor it using the box and diamond method. look up videos on Khan Academy of the box and diamond method for solving trinomials. For number 9, you have a difference of squares. That means you can factor to just 2 terms. (x+4)(x-4) this works because 16 has an easy square root, and the sign in between is a negative(difference)
3 0
3 years ago
Read 2 more answers
Suppose Carson worked at his father's business for 8 hours one week. What is the minimum number of full hours he would need to b
NISA [10]

Answer: 12

Step-by-step explanation:

I think it’s 12, don’t you do 96/8?

6 0
3 years ago
Read 2 more answers
David wants to complete a hypothesis test with the least amount of probability for error. If he sets the significance level to 1
Brrunno [24]

Answer:

He could increase the sample size

Step-by-step explanation:

In hypothesis testing, the error associated with the test is affected by a number of factors. The first factor is the level of significance, alpha. This is the probability of type 1 error. The probability of rejecting the null hypothesis when it is indeed true.

The second factor is the size of the sample used. The larger the sample, the smaller the error since the characteristics of the sample will be closer to those of the entire population on which inference is being made

8 0
3 years ago
Read 2 more answers
What is -1 = 5/8b + 3/8
andrew-mc [135]

Answer:

exact form - b = -11/5

decimal form - b = -2.2

Mixed number form - b = -2 1/5

4 0
3 years ago
The value of a car is $ 16,000 and depreciating at a rate of 11% per year. Write an
Mandarinka [93]
Answer- 16,000(0.88)t.
6 0
3 years ago
Other questions:
  • If quadrilateral ABCD rotates 90° counterclockwise about the origin, what are the coordinates of A′ in quadrilateral A′B′C′D′ ?
    5·1 answer
  • Use the distributive property to rewrite each algebraic expression: Do not solve, just rewrite.
    8·1 answer
  • Please help thanks so much!
    14·1 answer
  • Maria needs to fill an empty storage container with wooden cubes measuring 2 centimeters across each face. The container is the
    7·1 answer
  • What is .235 written as a fraction?
    10·2 answers
  • It is known that 10% of adults can pass a fitness test. What notation would be used to describe a count of the number of adults
    9·1 answer
  • The circle below is<br> centered at (2, 3) and has a radius of 4. What is its equation?
    13·1 answer
  • What is a good name for a pretty blonde girl? (don't ask hehe)
    12·1 answer
  • T or F: If you consume more calories, you must decrease your physical activity to have energy
    14·2 answers
  • a study designed to determine if there is an association between an adverse effect in a large population and exposure to a parti
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!