Question

At a computer manufacturing company, the actual size of a particular type of computer chips is...

At a computer manufacturing company, the actual size of a particular type of computer
chips is normally distributed with a mean of 2 centimeters and a standard deviation of 0.2
centimeter. A random sample of 14 computer chips is taken.
a. What is the probability that the sample mean will be between 1.99 and 2.01
centimeters?
b. What is the probability that the sample mean will be below 1.95 centimeters?
c. Above what value do 2.5% of the sample means fall?

Homework Answers

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
At a computer manufacturing company, the actual size of computer chips is normally dis- tributed with...
At a computer manufacturing company, the actual size of computer chips is normally dis- tributed with a mean of 1 centimeter and a standard deviation of 0.1 centimeters. A random sample of 12 computer chips is taken. (a) What is the probability that the sample mean will be between 0.99 and 1.01 centimeters? (b) What is the probability that the sample mean will be below 0.95 centimeters? (c) Above what value do 2.5% of the sample means fall?
4. At a computer manufacturing company, the actual size of computer chips is distributed with a...
4. At a computer manufacturing company, the actual size of computer chips is distributed with a mean of 1 centimeter and a population standard deviation of 0.15 centimeter. A random sample of 25 computer chips is taken. a. What is the probability that the sample mean will be greater than 1.01 centimeters? (Please show your calculation, 4 points) b. To solve this problem, do you need to make any assumption about the population distribution? Why? (4 points)
A local company makes snack-size bags of potato chips. The company produces batches of 400 snack-size...
A local company makes snack-size bags of potato chips. The company produces batches of 400 snack-size bags using a process designed to fill each bag with an average of 2 ounces of potato chips. However, due to imperfect technology, the actual amount placed in a given bag varies. Assume the population of filling weights is normally distributed with a standard deviation of 0.1 ounce. The company periodically weighs samples of 10 bags to ensure the proper filling process. The last...
The heights of 1000 students are approximately normally distributed with a mean of 174.5 centimeters and...
The heights of 1000 students are approximately normally distributed with a mean of 174.5 centimeters and a standard deviation of 6.9 centimeters. Suppose 200 random samples of size 25 are drawn from this population and the means recorded to the nearest tenth of a centimeter. Determine (a) the mean and standard deviation of the sampling distribution of X¯; (b) the number of sample means that fall between 171 and 177 cm.
The heights of 500,000 students are approximately normally distributed with a mean of 174.5 centimeters and...
The heights of 500,000 students are approximately normally distributed with a mean of 174.5 centimeters and a standard deviation of 6.9 centimeters. If 200 random samples of size 25 each are drawn from this population and the means are recorded to the nearest tenth of a centimeter, 1.Determine how many sample means that falls between 172.45 and 175.85 centimeters inclusive; 2.Determine how many sample means falls below 171.95 centimeters.
The number of chocolate chips in an 18-ounce bag of Chips Ahoy! Chocolate cookies is approximately...
The number of chocolate chips in an 18-ounce bag of Chips Ahoy! Chocolate cookies is approximately normally distributed with a mean of 1262 chips and a standard deviation of 118 chips according to a study by the U.S. Air Force Academy. If a production manager takes a sample of 36 bags of cookies, then for this sample size, describe the sampling distribution of x ¯. i. Center: μ x ¯= ii. Spread: σ x ¯=  (round to 2 decimal places) iii....
A particular fruit's weights are normally distributed, with a mean of 276 grams and a standard...
A particular fruit's weights are normally distributed, with a mean of 276 grams and a standard deviation of 23 grams. If you pick 27 fruits at random, then 14% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram. & Slices of pizza for a certain brand of pizza have a mass that is approximately normally distributed with a mean of 66.1 grams and a standard deviation of 2.33 grams....
Actual lengths of pregnancy terms for a particular species of mammal are nearly normally distributed about...
Actual lengths of pregnancy terms for a particular species of mammal are nearly normally distributed about a mean pregnancy length with a standard deviation of 14 days. About what percentage of births would be expected to occur more than 42 days after the mean pregnancy​ length?
Actual lengths of pregnancy terms for a particular species of mammal are nearly normally distributed about...
Actual lengths of pregnancy terms for a particular species of mammal are nearly normally distributed about a mean pregnancy length with a standard deviation of 14 days. About what percentage of births would be expected to occur more than 42 days after the mean pregnancy​ length?
Bags of a certain brand of potato chips say that the net weight of the contents...
Bags of a certain brand of potato chips say that the net weight of the contents is 35.6 grams. Assume that the standard deviation of the individual bag weights is 5.2 grams. A quality control engineer selects a random sample of 100 bags. The mean weight of these 100 bags turns out to be 33.6 grams. Use this information to answer the questions below. 1. We can use a normal probability model to represent the distribution of sample means for...