Question

In: Statistics and Probability

Assume the heights in a male population are normally distributed with mean 70.3 inches and standard...

Assume the heights in a male population are normally distributed with mean 70.3 inches and standard deviation 4.1 inches. Then the probability that a typical male from this population is between 5 feet 6 inches and 6 feet tall is (to the nearest three decimals) which of the following?

a. 0.661
b. 0.514
c. 0.853
d. None of the above

Solutions

Expert Solution


Related Solutions

Assume heights of men are normally distributed with a mean of 69.3 inches with a standard...
Assume heights of men are normally distributed with a mean of 69.3 inches with a standard deviation of 3.4 inches. The U.S. Air Force requires that pilots have heights between 64 in. and 77 in. A) What is the probability that a random sample of 10 males will have a mean height greater than 6 feet (72 inches)? B) What height for males represents the 90th percentile? C) Suppose a random sample of 32 males has a mean height of...
Assume heights of men are normally distributed with a mean of 69.3 inches with a standard...
Assume heights of men are normally distributed with a mean of 69.3 inches with a standard deviation of 3.4 inches. The U.S. Air Force requires that pilots have heights between 64 in. and 77 in. A) What is the probability that a random sample of 10 males will have a mean height greater than 6 feet (72 inches)? B) What height for males represents the 90th percentile? C) Suppose a random sample of 32 males has a mean height of...
The heights of tulips are normally distributed with a mean of 13.1 inches and a standard...
The heights of tulips are normally distributed with a mean of 13.1 inches and a standard deviation of 1.2 inches. What is the probability that a tulip is more than 14 inches tall? (round to 3 decimal places) What is the probability that a tulip is less than 11.5 inches tall? (round to 3 decimal places) What is the probability that a tulip is between 13.5 and 14.0 inches tall (round to 3 decimal places) What is the minimum height...
Assume that the heights of men are normally distributed with a mean of 70.7 inches and...
Assume that the heights of men are normally distributed with a mean of 70.7 inches and a standard deviation of 2.8 inches. If 64 men are randomly selected, Find:- (a) Describe the sampling distribution of x. Sketch the distribution. (b) Find the probability that they have a mean height greater than 71.7 inches. (c) Find the probability that they have a mean height between 68.5 and 73 inches. (d) Find the 95th percentile of the heights of men.
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 2.8 inches. If 64 men are randomly​ selected, find the probability that they have a mean height greater than 69.1 inches. ​(Round your answer to three decimal places​.)
The heights of males in a population are approximately normally distributed with mean 69.2 inches and...
The heights of males in a population are approximately normally distributed with mean 69.2 inches and standard deviation 2.92. The heights of females in the same population are approximately normally distributed with mean 64.1 inches and standard deviation 2.75. a. Suppose one male from this age group is selected at random and one female is independently selected at random and their heights added. Find the mean and standard error of the sampling distribution of this sum. Mean = Standard deviation...
A-C, assume the following: Men’s heights are normally distributed with mean 71.3 inches and standard deviation...
A-C, assume the following: Men’s heights are normally distributed with mean 71.3 inches and standard deviation 2.8 inches. Women’s heights are normally distributed with mean 65.7 inches and standard deviation 2.6 inches. Most of the live characters at Disney World have height requirements with a minimum of 58 inches and a maximum of 77 inches. A. Find the percentage of women meeting the height requirement. B. Find the percentage of men meeting the height requirement. C. If the Disney World...
Heights of fences are normally distributed with a mean of 52 inches and a standard deviation...
Heights of fences are normally distributed with a mean of 52 inches and a standard deviation of 4 inches. 1. Find the probability that one randomly selected fence is under 54 inches. 2. Find the probability that two randomly selected fences are both under 54 inches. 3. Find the probability that the mean height of 4 randomly selected fences is under 54 inches.
Heights of women are normally distributed with a mean of 63.8 inches and a standard deviation...
Heights of women are normally distributed with a mean of 63.8 inches and a standard deviation of 2.6 inches. a) find the probability that the height of a single randomly chosen women is less than 62 inches b) find the probability that the mean height of a sample of 16 women is less than 62 inches
Heights of fourth graders are Normally distributed with a mean of 52 inches and a standard...
Heights of fourth graders are Normally distributed with a mean of 52 inches and a standard deviation of 3.5 inches. What percentage of fourth graders are between 50 inches and 56 inches? A. 68.13% B. 27.42% C. 59.01% D. 95.27% E. 86.43%
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT