Question

The production of pipes has a mean diameter of 3.25 inches and a standard deviation of...

The production of pipes has a mean diameter of 3.25 inches and a standard deviation of .15 inches. The shape of the distribution is approximated by a normal distribution since approximately an equal number of parts are above or below average, and most parts are very close to the mean value. A part will be discarded is it has a diameter of greater than 3.5 inches or less than 3 inches. What proportion of parts are discarded from the production line?

a. 4.78%

b. 9.56%

c. 95%

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Let "X" be parts that are discarded from the production line.

Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(1.667 , TRUE)" & "=NORM.S.DIST(-1.667 , TRUE)" to find the probability.

Convert the answer to the percentage (multiply by 100)

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The gestation period for cats has an approximate mean of 64 days and a standard deviation...
The gestation period for cats has an approximate mean of 64 days and a standard deviation of 3 days, and the distribution of the gestation period has an approximate Normal distribution. What proportion of kittens are born between 61 and 67 days after conception? The gestation period for cats has an approximate mean of 64 days and a standard deviation of 3 days and the distribution of the gestation period is approximately Normal. What proportion of kittens have a gestation...
The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of...
The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of 2.55 inches and a standard deviation of 0.06 inch. A random sample of 12 tennis balls is selected. Complete parts​ (a) through​ (d) below. a. What is the sampling distribution of the​ mean? A. Because the population diameter of tennis balls is approximately normally​ distributed, the sampling distribution of samples of size 12 will be the uniform distribution. B. Because the population diameter of...
"For a normal distribution with a mean of 16 and standard deviation of 2, what's the...
"For a normal distribution with a mean of 16 and standard deviation of 2, what's the probability of getting a number greater than 20? " "Consider a normal distribution with a mean of 25 and standard deviation of 4. Approximately, what proportion of the area lies between values of 17 and 33. " a. 95% b. 68% c. 99% d. 50% Two-hundred students took a statistics class. Their professor creatively decided to give each of them their Z-score instead of...
The standard deviation of a particular dimension on a machine part is known to be 0.0053...
The standard deviation of a particular dimension on a machine part is known to be 0.0053 inches. Four parts coming off the production line are measured, giving readings of 2.747, 2.740, 2.750 and 2.749 inches. The population mean is supposed to be 2.740 inches. The normal distribution applies. Is the sample mean significantly larger than 2.740 inches at the 1% level of significance
Thediameterofanextra-largepizzaatPopolosPizzainbeautifulFresno, CA is normally distributed with a mean μ = 24 inches and a standard deviation...
Thediameterofanextra-largepizzaatPopolosPizzainbeautifulFresno, CA is normally distributed with a mean μ = 24 inches and a standard deviation σ = 3 inches. (a) Find the probability that a randomly selected extra-large pizza has a diameter greater than 27 inches. (b) My awesome brother Tim is delighted to have gotten an extraordinarily large pizza. A Popolos Pizza spokeswoman told him it is larger than 75% of all extra-large pizzas they make. What is the diameter of this pizza?
A company pays its employees an average wage of $3.25/hour with a standard deviation of $0.60....
A company pays its employees an average wage of $3.25/hour with a standard deviation of $0.60. If the wages are approximately normally distributed, determine:               [5x4=20pts] …graph a normal curve in all 4 parts. The probability that randomly chosen worker has the hourly wage less than $3. the proportion of the workers getting wages between $2.75 and $3.69 an hour the minimum wage of the highest 8% of all workers. The probability that if we randomly select a sample of 40 workers,...
1) The mean height of women in a country (ages 20-29) is 64.3 inches. A random...
1) The mean height of women in a country (ages 20-29) is 64.3 inches. A random sample of 75 women in this age group is selected. What is the probability that the mean height for the sample is greater than 65 inches? assume σ = 2.59 The probability that the mean height for the sample is greater than 65 inches is __. 2) Construct the confidence interval for the population mean μ C=0.95 Xbar = 4.2 σ=0.9 n=44 95% confidence...
Suppose x has a distribution with a mean of 80 and a standard deviation of 45....
Suppose x has a distribution with a mean of 80 and a standard deviation of 45. Random samples of size n = 36 are drawn. (a) Describe the  distribution. has a binomial distribution. has an unknown distribution.     has an approximately normal distribution. has a Poisson distribution. has a normal distribution. has a geometric distribution. Compute the mean and standard deviation of the distribution. (For each answer, enter a number.) = mu sub x bar = = sigma sub x bar = (b)...
The distribution of the commute times for the employees at a large company has mean 22.4...
The distribution of the commute times for the employees at a large company has mean 22.4 minutes and standard deviation 6.8 minutes. A random sample of n employees will be selected and their commute times will be recorded. What is true about the sampling distribution of the sample mean as n increases from 2 to 10 ? The mean increases, and the variance increases. A The mean increases, and the variance decreases. B The mean does not change, and the...
A normal population has a mean of 61 and a standard deviation of 20. A. What...
A normal population has a mean of 61 and a standard deviation of 20. A. What proportion of the population is greater than 108? B. What is the probability that a randomly chosen valve will be less than 81?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT