The doorway of a specific style house is 71 inches. Men’s heights are normally distributed with...

A. Determine the probability that a man can go through the doorway without bending.

B. Determine the probability that a woman can go through the doorway without bending.

C. Determine the probability that a sample of 9 men will have a μ> 71 inches.

D. Determine the probability that a sample of 16 women will have a μ > 71 inches.

E. Explain what all this means

Solutions

Expert Solution

all probability are calculated using normal distribution calculator

orchestra answered 1 year ago

Next > < Previous

Related Solutions

The doorway of a specific style house is 71 inches. Men’s heights are normally distributed with...

The doorway of a specific style house is 71 inches. Men’s heights are normally distributed with a μ of 68.4 inches and σ of 1.9 inches. Women’s heights are normally distributed with a μ of 64.8 inches and a σ of 2.6 inches. For the following use the same data for heights from above (no pun intended). To get into the police academy there are height requirements. A person needs to be at least five feet tall and no taller...

Men’s heights are normally distributed with a mean of 72 inches and a standard deviation of...

Men’s heights are normally distributed with a mean of 72 inches and a standard deviation of 3.1 inches. A social organization for short people has a requirement that men must be at most 66 inches tall. What percentages of men meet this requirement? Choose the correct answer: A-2.62% B-2.59% C-2.56% D-2.68% Find the critical value of t for a sample size of 24 and a 95% confidence level. Choose the correct value from below: A-2.096 B-2.064 C-2.046 D-2.069 Construct a...

Adult men’s heights (in inches) are normally distributed with µ = 69 and σ = 2.8....

Adult men’s heights (in inches) are normally distributed with µ = 69 and σ = 2.8. Adult women’s heights (in inches) are normally distributed with µ = 64 and σ = 2.5. Members of the “Beanstalk Club” must be at least six feet (72 inches) tall. If a man is selected at random, what is the probability that he is eligible for the Beanstalk Club? If a woman is selected at random, what is the probability that she is eligible...

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...

a.) Men's heights are distributed as the normal distribution with a mean of 71 inches and...

a.) Men's heights are distributed as the normal distribution with a mean of 71 inches and a standard deviation of inches. Find the probability that a randomly selected man has a height between 69 inches and 73 inches. b.) Men's heights are distributed as the normal distribution with a mean of 71 inches and a standard deviation of 3 inches. A random sample of 100 men is selected. Find the probability that the sample mean is greater than 70.75 inches....

Suppose the heights of 18-year-old men are approximately normally distributed, with mean 71 inches and standard...

Suppose the heights of 18-year-old men are approximately normally distributed, with mean 71 inches and standard deviation 5 inches. (a) What is the probability that an 18-year-old man selected at random is between 70 and 72 inches tall? (Round your answer to four decimal places.) (b) If a random sample of twenty-four 18-year-old men is selected, what is the probability that the mean height x is between 70 and 72 inches? (Round your answer to four decimal places.) (c) Compare...

Suppose the heights of 18-year-old men are approximately normally distributed, with mean 71 inches and standard...

Suppose the heights of 18-year-old men are approximately normally distributed, with mean 71 inches and standard deviation 5 inches. (a) What is the probability that an 18-year-old man selected at random is between 70 and 72 inches tall? (Round your answer to four decimal places.) (b) If a random sample of eighteen 18-year-old men is selected, what is the probability that the mean height x is between 70 and 72 inches? (Round your answer to four decimal places.) (c) Compare...

Suppose the heights of 18-year-old men are approximately normally distributed, with mean 71 inches and standard...

Suppose the heights of 18-year-old men are approximately normally distributed, with mean 71 inches and standard deviation 4 inches. (a) What is the probability that an 18-year-old man selected at random is between 70 and 72 inches tall? (Round your answer to four decimal places.) (b) If a random sample of twenty 18-year-old men is selected, what is the probability that the mean height x is between 70 and 72 inches? (Round your answer to four decimal places.) (c) Compare...

Suppose the heights of 18-year-old men are approximately normally distributed, with mean 71 inches and standard...

Suppose the heights of 18-year-old men are approximately normally distributed, with mean 71 inches and standard deviation 1 inch. (a) What is the probability that an 18-year-old man selected at random is between 70 and 72 inches tall? (Round your answer to four decimal places.) (b) If a random sample of twenty-six 18-year-old men is selected, what is the probability that the mean height x is between 70 and 72 inches? (Round your answer to four decimal places.)

1. Suppose the heights of 18-year-old men are approximately normally distributed, with mean 71 inches and...

1. Suppose the heights of 18-year-old men are approximately normally distributed, with mean 71 inches and standard deviation 5 inches. (a) What is the probability that an 18-year-old man selected at random is between 70 and 72 inches tall? (Round your answer to four decimal places.) (b) If a random sample of twenty-three 18-year-old men is selected, what is the probability that the mean height x is between 70 and 72 inches? (Round your answer to four decimal places.) (c)...

Subjects