Suppose men’s height is normally distributed with a standard deviation 2.8 inches. You took a sample...

Suppose men’s height is normally distributed with a standard deviation 2.8 inches. You took a sample of 37 individuals. The average height for this sample is 70 inches.

a. Test the hypothesis that this sample came from a population with an average height of 68.6 inches. What is your conclusion if α = .05

b. Your friend believes that you took the sample from a poor population and their height is below 68.6 inches. Is your friend correct? What is your conclusion? Use α = .05

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

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...

Heights of adult American males are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches.

Heights of adult American males are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. The U.S. Marine Corps requires that males have heights between 64 inches and 78 inches. What percentage of males are eligible for the Marines based on height?

Adult male height is normally distributed with a mean of 69.2 inches and a standard deviation...

Adult male height is normally distributed with a mean of 69.2 inches and a standard deviation of 2.28 inches. a) If an adult male is randomly selected, what is the probability that the adult male has a height greater than 69.1 inches? Round your final answer to four decimal places. b) If 28 adult male are randomly selected, what is the probability that they have a mean height greater than 70 inches? Round your final answer to four decimal places.

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...

The height of plants is normally distributed with a mean of 32 inches and a standard...

The height of plants is normally distributed with a mean of 32 inches and a standard deviation of 8 inches. What is the probability that the average height of a sample of 25 plants is greater than 30 inches

Women's heights are normally distributed with mean 64 inches and a standard deviation of 2.5 inches....

Women's heights are normally distributed with mean 64 inches and a standard deviation of 2.5 inches. (a) What percent of women are less than 60 inches tall? (b) The requirement of all Navy pilots is between 62 inches and 78 inches. What percent of women meet the Navy requirement? (c) If the Navy changed its requirement to eliminate the "shortest" 5% of all women, what would the requirement be on the lower end of the scale?

Men's heights are normally distributed with mean 68.9 in and standard deviation of 2.8 in. Women's...

Men's heights are normally distributed with mean 68.9 in and standard deviation of 2.8 in. Women's heights are normally distributed with mean 63.6 in and standard deviation of 2.5 in. The standard doorway height is 80 in. a. What percentage of men are too tall to fit through a standard doorway without bending, and what percentage of women are too tall to fit through a standard doorway without bending? b. If a statistician designs a house so that all of...

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

Subjects