Question

The length of timber cuts are normally distributed with a mean of 95 inches and a...

The length of timber cuts are normally distributed with a mean of 95 inches and a standard deviation of 0.52 inches. In a random sample of 30 boards, what is the probability that the mean of the sample will be between 94.7 inches and 95.3 inches?

0.002
0.950
0.436
0.998

Flag this Question

Question 182 pts

The Dow Jones Industrial Average has had a mean gain of 432 pear year with a standard deviation of 722. A random sample of 40 years is selected. What is the probability that the mean gain for the sample was between 200 and 500?

0.703
0.297
0.164
0.836

Flag this Question

Question 192 pts

Of all the companies on the New York Stock Exchange, profits are normally distributed with a mean of $6.54 million and a standard deviation of $10.45 million. In a random sample of 73 companies from the NYSE, what is the probability that the mean profit for the sample was between -2.9 million and 4.5 million?

0.048
0.239
0.477
0.052

Flag this Question

Question 202 pts

Doing research for insurance rates, it is found that those aged 30 to 49 drive an average of 38.7 miles per day with a standard deviation of 6.7 miles. These distances are normally distributed. If a group of 60 drivers in that age group are randomly selected, what is the probability that the mean distance traveled each day is between 38.0 miles and 39.9 miles?

0.708
0.780
0.113
0.199

The weights of bags of peas are normally distributed with a mean of 13.50 ounces and a standard deviation of 1.06 ounces. Bags in the upper 4% are too heavy and must be repackaged. What is the most that bag and weigh and not need to be repackaged?

15.36 ounces
11.64 ounces
11.76 ounces
15.24 ounces

Flag this Question

Question 132 pts

A stock’s price fluctuations are approximately normally distributed with a mean of $29.51 and a standard deviation of $3.87. You decide to sell whenever the price reaches its highest 20% of values. What is the highest value you would still hold the stock?

$32.38
$25.25
$31.77
$24.50

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
The heights of mature Iowan corn stalks are normally distributed with mean height of 95 inches...
The heights of mature Iowan corn stalks are normally distributed with mean height of 95 inches with standard deviation of 10 inches. What is the probability that a random sample of 100 mature Iowan corn stalks will have mean height more than 96 inches?
The heights of mature Iowan corn stalks are normally distributed with mean height of 95 inches...
The heights of mature Iowan corn stalks are normally distributed with mean height of 95 inches with standard deviation of 10 inches. What is the probability that a random sample of 100 mature Iowan corn stalks will have mean height more than 96 inches?
The lengths of lumber a machine cuts are normally distributed with a mean of 9595 inches...
The lengths of lumber a machine cuts are normally distributed with a mean of 9595 inches and a standard deviation of 0.70.7 inch. ​(a) What is the probability that a randomly selected board cut by the machine has a length greater than 95.3295.32 ​inches? ​(b) A sample of 4545 boards is randomly selected. What is the probability that their mean length is greater than 95.3295.32 ​inches?
The lengths of lumber a machine cuts are normally distributed with a mean of 105 inches...
The lengths of lumber a machine cuts are normally distributed with a mean of 105 inches and a standard deviation of 0.5 inch. ​(a) What is the probability that a randomly selected board cut by the machine has a length greater than 105.14 ​inches? ​(b) A sample of 42 boards is randomly selected. What is the probability that their mean length is greater than 105.14 ​inches?
The heights of 18-year-old men are normally distributed, with a mean of 68 inches and a...
The heights of 18-year-old men are normally distributed, with a mean of 68 inches and a standard deviation of 3 inches.  If a random sample of 45 men in this age group is selected, what is the probability that the sample mean is between 66 and 67.6 inches?
1. The weights of bags of baby carrots are normally​ distributed, with a mean of 29...
1. The weights of bags of baby carrots are normally​ distributed, with a mean of 29 ounces and a standard deviation of 0.31 ounce. Bags in the upper​ 4.5% are too heavy and must be repackaged. What is the most a bag of baby carrots can weigh and not need to be​ repackaged? 2. The area between z= -1.1 and z =0.7 under the standard normal curve is 3. Find the indicated area under the standard normal curve To the...
The heights of mature Iowan corn stalks are normally distributed with mean height of 95 inches...
The heights of mature Iowan corn stalks are normally distributed with mean height of 95 inches with standard deviation of 10 inches. What is the probability that a random sample of 100 mature Iowan corn stalks will have mean height more than 96 inches? PLEASE SHOW WORK AND CLEARLY THANK YOU
Assume the heights of men are normally distributed, with mean 73 inches and standard deviation 4...
Assume the heights of men are normally distributed, with mean 73 inches and standard deviation 4 inches. If a random sample of nine men is selected, what is the probability that the mean height is between 72 and 74 inches? (Use 3 decimal places.)
Suppose that the heights of students are normally distributed with mean 67 inches and standard deviation...
Suppose that the heights of students are normally distributed with mean 67 inches and standard deviation 3 inches. (a) What is the probability that a randomly chosen student is at least 69 inches tall? (b) What is the probability that the mean height of a random sample of 5 students is at least 69 inches? (c) What is the probability that the mean height of a random sample of 20 students is at least 69 inches?
1. A manufacturer knows that their items have a normally distributed length, with a mean of...
1. A manufacturer knows that their items have a normally distributed length, with a mean of 17.5 inches, and standard deviation of 5.1 inches. If one item is chosen at random, what is the probability that it is less than 14.3 inches long? 2. A manufacturer knows that their items have a normally distributed lifespan, with a mean of 6 years, and standard deviation of 0.8 years. If you randomly purchase one item, what is the probability it will last...