Question

Assume that the population of weights of men is normally distributed with mean 172 lb and...

Assume that the population of weights of men is normally distributed with mean 172 lb and standard deviation 29 lb.

a. If an individual man is randomly selected, find the probability that his weight will be greater than 175 lb. (Round to four decimal places as needed.)

b. Find the probability that 20 randomly selected men will have a mean weight that is greater than 175 lb. (Round to four decimal places as needed.)

Please show all work as if inputting into a graphing calculator.

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
Assume that the population of weights of men is normally distributed with mean 172 lb and...
Assume that the population of weights of men is normally distributed with mean 172 lb and standard deviation 29 lb. a. If an individual man is randomly selected, find the probability that his weight will be greater than 175 lb. (Round to four decimal places as needed.) b. Find the probability that 20 randomly selected men will have a mean weight that is greater than 175 lb. (Round to four decimal places as needed.) show work
Assume that the men's weight is normally distributed with an average of 172 pounds and a...
Assume that the men's weight is normally distributed with an average of 172 pounds and a standard deviation of 29 pounds. to. Define a variable b. Associate the random variable with a distribution and its parameters c. If a man is selected at random, what is the probability that his weight is greater than 175 pounds? (minitab) D. If a sample of 20 men is chosen at random. What is the probability that the average weight is greater than 175...
Assume that women's weights are normally distributed with a mean given by ?=143 lb and a...
Assume that women's weights are normally distributed with a mean given by ?=143 lb and a standard deviation given by ?=29 lb. (a) If 1 woman is randomly selected, find the probabity that her weight is between 113 lb and 173 lb (b) If 5 women are randomly selected, find the probability that they have a mean weight between 113 lb and 173 lb (c) If 82 women are randomly selected, find the probability that they have a mean weight...
Weights of men are normally distributed with a mean of 189 lb and a standard deviation...
Weights of men are normally distributed with a mean of 189 lb and a standard deviation of 39 lb. If 20 men are randomly selected, find the probability that they have weights with a mean between 200 lb and 230 lb.
1. The weights of a certain brand of candies are normally distributed with a mean weight...
1. The weights of a certain brand of candies are normally distributed with a mean weight of 0.8542 g and a standard deviation of 0.0521 g. A sample of these candies came from a package containing 454 ​candies, and the package label stated that the net weight is 387.3 g.​ (If every package has 454 ​candies, the mean weight of the candies must exceed  387.3 Over 454= 0.8531 g for the net contents to weigh at least 387.3 ​g.) a. If...
Assume that women's weights are normally distributed with a mean given by ?=143μ=143 lb and a...
Assume that women's weights are normally distributed with a mean given by ?=143μ=143 lb and a standard deviation given by ?=29σ=29 lb. (a)  If 1 woman is randomly selected, find the probabity that her weight is between 113113 lb and 172172 lb (b)  If 44 women are randomly selected, find the probability that they have a mean weight between 113113 lb and 172172 lb (c)  If 5151 women are randomly selected, find the probability that they have a mean weight between 113113 lb...
The weights of ice cream cartons are normally distributed with a mean weight of 8 ounces...
The weights of ice cream cartons are normally distributed with a mean weight of 8 ounces and a standard deviation of 0.5 ounce. ​(a) What is the probability that a randomly selected carton has a weight greater than 8.12 ​ounces? ​(b) A sample of 36 cartons is randomly selected. What is the probability that their mean weight is greater than 8.12 ​ounces? ​(a) The probability is nothing. ​(Round to four decimal places as​ needed.)
Suppose that an airline uses a seat width of 16.5 in. Assume men have hip breadths...
Suppose that an airline uses a seat width of 16.5 in. Assume men have hip breadths that are normally distributed with a mean of 14.6 in. and a standard deviation of 1 in. Complete parts​ (a) through​ (b) below. ​(a) Find the probability that if an individual man is randomly​ selected, his hip breadth will be greater than 16.5 in. The probability is ​(Round to four decimal places as​ needed.) ​(b) If a plane is filled with 126 randomly selected​...
Assume that the heights of men are normally distributed with a mean of 68.1 inches and...
Assume that the heights of men are normally distributed with a mean of 68.1 inches and a standard deviation of 2.1 inches. If 36 men are randomly​ selected, find the probability that they have a mean height greater than 69.1 inches. Round to four decimal places.
The weights of steers in a herd are distributed normally. The variance is 90,00090,000 and the...
The weights of steers in a herd are distributed normally. The variance is 90,00090,000 and the mean steer weight is 1200lbs1200⁢lbs. Find the probability that the weight of a randomly selected steer is greater than 1020lbs1020⁢lbs. Round your answer to four decimal places.