![stastnylindsey](/avatars/22683.jpg)
stastnylindsey
12.11.2020 •
Mathematics
1. At a computer manufacturing company, the actual size of a computer chip is normally distributed with a mean of 1 cm and a standard deviation of 0.1 cm. A random sample of 12 computer chips is taken. What is the standard error for the sample mean?2. At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 cm and a standard deviation of 0.1 cm. A random sample of 12 computer chips is taken. What is the probability that the sample mean will be between 0.99 and 1.01 cm?3. At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 cm and a standard deviation of 0.1 cm. A random sample of 12 computer chips is taken. What is the probability that the sample mean will be below 0.95 cm?4. At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 cm and a standard deviation of 0.1 cm. A random sample of 12 computer chips is taken. Above what value do 2.5% of the sample means fall?
Solved
Show answers
More tips
- H Health and Medicine Understanding Pregnancy Tests: What You Need to Know?...
- H Health and Medicine What Makes a Man a Man?...
- C Computers and Internet How to Get Rid of Spam in ICQ?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
- F Family and Home How to Get Rid of Your Neighbors?...
- S Society and Politics How Could Nobody Know About the Dead Mountaineers?...
- H Health and Medicine How to Cure Adenoids?...
- H Health and Medicine Why Wearing a Back Brace Can Be Beneficial During Back Strain?...
- S Sport When and Where Will the 2014 World Cup be Held?...
- C Computers and Internet How to Choose a Monitor?...
Answers on questions: Mathematics
- M Mathematics What is the difference between the sample average y and the population mean?...
- M Mathematics What is 150% as a fration simplest form...
- M Mathematics Angle P and angle Q are supplementary angles. If the measure of angle Q is 64º, find the measure of angle P....
- H History According to the Fifteenth Amendment, on what basis could citizens no longer be denied the right to vote? OA on the basis of employment B. on the basis of gender C. on the...
- A Arts Name three Elements of Art that are apparent in Moore s work. Shape, texture, color O Shape, form, and space O Form, color, and scale O Scale, contrast, and form...
- M Mathematics Quadrilateral EFGH is an isosceles trapezoid and m∠E=3z+93°. What is the value of z?...
Ответ:
The 4 answers are given below:
0.1cm, 0.1 probability, 0.25 probability, 1.095cm
Step-by-step explanation:
QUESTION HEAD: At a computer manufacturing company, the actual size of a computer chip is normally distributed with a mean of 1cm and standard deviation of 0.1cm. A random sample of 12 computer chips is taken.
(A) What is the standard error for the sample mean?
(B) What is the probability that the sample mean will be between 0.99 and 1.01cm?
(C) What is the probability that the sample mean will be below 0.95cm?
(D) Above what value do 2.5% of the sample means fall?
ANSWERS:
(A) The standard error for the sample mean is 0.1cm
(B) [0.99, 1.01]cm?
The mean length is 1cm and S.E. is 0.1cm, hence all lengths fall into the following range: [0.9 - 1.1]
0.99 - 0.9 = 0.09
1.1 - 1.01 = 0.09
0.09 + 0.09 = 0.18
1.1 - 0.9 = 0.2
0.2 - 0.18 = 0.02 This is the fraction of 0.2 that the length bracket in the question occupies. So 0.02/0.2 = 0.1
Hence the probability that the sample mean will be between 0.99 and 1.01cm is 0.1 (which translates to a 10% probability/chance)
(C) The probability that the sample mean will be below 0.95 is:
0.95 - 0.9 = 0.05
0.05/0.2 = 0.25 (which translates to a 25% chance of occurrence)
(D) Above what value do 2.5% of the sample means fall?
Here, you're looking for the value of the mean which serves as the lower limit for the top 2.5% of sample mean values.
2.5% of 0.2 = 0.025 × 0.2 = 0.005
Subtract this from the highest possible mean value:
1.1 - 0.005 = 1.095
So, above 1.095 is where 2.5% of the sample means fall
Ответ: