Question

Suppose that the new average for the produced beam is 9.7 cm with a standard deviation...

Suppose that the new average for the produced beam is 9.7 cm with a standard deviation of 0.25 and that the new tolerances are from 9.5 cm and 10.8 cm. What is the probability that a bar chosen at random will conform to (be within the) specifications? Express your answer with four decimal points.

Homework Answers

Answer #1

Refer Standard normal table/Z-table to find the probability OR use excel formula "=NORM.S.DIST(4.4, TRUE)" & "=NORM.S.DIST(-0.8, TRUE)" to find the probability.

The probability that a bar chosen at random will conform to (be within the) specifications is

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of...
Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.5 and a mean diameter of 205 inches. If 79 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would be less than 205.3 inches? Round your answer to four decimal places.
Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of...
Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 2.5 and a mean diameter of 214 inches. If 85 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would be greater than 214.2 inches? Round your answer to four decimal places.
Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of...
Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.9 and a mean diameter of 200 inches. If 78 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would differ from the population mean by greater than 0.2 inches? Round your answer to four decimal places.
Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of...
Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.3 and a mean diameter of 208 inches. If 60 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches? Round your answer to four decimal places.
1) American ladybugs have an average adult length of 1 cm with a known standard deviation...
1) American ladybugs have an average adult length of 1 cm with a known standard deviation of 0.2 cm. The population of American ladybugs in Raleigh was around 2176200 last spring. Assume a normal distribution for the lengths of adult American ladybugs. Your niece asks you what's the probability of a random ladybug in Raleigh being bigger than 1.5 cm. Is it appropriate to calculate this probability? Select one: a. No, because the sample size is less than 30. b....
1. Assume that x has a normal distribution with the specified mean and standard deviation. Find...
1. Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 50; σ = 15 P(40 ≤ x ≤ 47) = 2. Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 56 tons of coal into each car. The actual...
Suppose that the Average student is 20.6 years with a standard deviation of 1.7 years. Suppose...
Suppose that the Average student is 20.6 years with a standard deviation of 1.7 years. Suppose we obtain a simple random sample of 100 students ages. 1) What is the expected sample average age? 2) What is the standard deviation of the sample average? 3) Find the probability that the sample average is at least 21.3 years.
Suppose the average checkout bill at a large supermarket is 73.25 dollars, with a standard deviation...
Suppose the average checkout bill at a large supermarket is 73.25 dollars, with a standard deviation of 24.75 dollars. 22 percent of the time when a random sample of 41 customer bills is examined, the sample average will exceed what value? Note that this is a question about the sample mean. Enter a numeric value correct to two digits after the decimal point. In a random sample of 41 customer bills, what is the probability that the sample average will...
Suppose college students average 7.3 hours of sleep per night with a standard deviation of 45...
Suppose college students average 7.3 hours of sleep per night with a standard deviation of 45 minutes, and suppose that this is normally-distributed. What is the probability that a randomly-selected college student sleeps for more than 8.1 hours? Probability = What is the 60th percentile for college-student sleep times? Round your answer to four decimal places. 60th percentile = hours
A population has a mean of 400 and a standard deviation of 90. Suppose a sample...
A population has a mean of 400 and a standard deviation of 90. Suppose a sample of size 100 is selected and x with bar on top is used to estimate mu. What is the probability that the sample mean will be within +/- 3 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.) What is the probability that the sample mean will be within +/- 14 of the population mean (to...