Statustics

A survey found that women’s heights are normally distributed with mean 63.4 in and standard deviation 2.5 in. A branch of the military requires women’s heights to be between 58 in and 80 in.
a. Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall? The percentage of women who meet the height requirement is %? (Round to two decimals places as needed).
b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements?

  1. 👍
  2. 👎
  3. 👁
  1. a. Z = (score-mean)/SD

    Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability between the two Z scores. Multiply by 100 to get %.

    b. Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability (.01 and .02) to get the Z scores. Insert in equation above.

    1. 👍
    2. 👎
  2. 5yteyhdthdrth

    1. 👍
    2. 👎
  3. 98.75 was the answer my hw accepted

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. statistics

    1. When designing motorcycle helmets, the breadth of a person's head must be considered. Men have head breadths that are normally distributed with a mean of 6.0 inches and a standard deviation of 1.0 inches. If one male is

  2. Math

    Assume that women’s heights are normally distributed with a mean of 63.6inches and a standard deviation of 2.5inches. If 90 women are randomly selected, find the probability that they have a mean height between 62.9inches and

  3. statistics

    The heights of young women are approximately normal with a mean 64.5 in and a standard deviation of 2.5 in. What is the probability that a woman chosen at random is taller than 63.6 inches?

  4. statistics

    Women’s heights are normally distributed with a mean of 162 cm and standard deviation of 16 cm. a. Define an random variable, X, and describe its full distribution including the mean and variance. b. What percentage of heights

  1. Statistics/Probability

    Assume that women’s heights are normally distributed with a mean given by μ = 63.4 in, and a standard deviation given by σ = 2.3 in. (a) If 1 woman is randomly selected, find the probability that her height is less than 64 in.

  2. biostatics

    if height of 300 students is normally distributed with mean 68.00 inch and standard deviation 3.0 in ch. how manystudents have heights greater than 72 inches?

  3. Statistics

    In a population of 240 women,the heights of the women are normally distributed with a mean of 64.2 inches and a standard deviation of 3.2 inches. If 36 women are selected at random, find the mean mu x and stand deviation sigma x

  4. Statistics

    women's heights are normally distributed with a mean 63.1 in and standard deviation of 2.5. A social organization for tall people has a requirement that women must be at least 69in tall. What percentage of woman meet that

  1. stat

    The heights of young American women, in inches, are normally distributed with mean mu and standard deviation 2.4 (sigma). I select a simple random sample of four young American women and measure their heights. The four heights, in

  2. mathematics

    The distribution of heights of American women aged 18 to 24 is approximately normally distributed with a mean of 65.5 inches and a standard deviation of 2.5 inches. Calculate the z-score for a woman six feet tall.

  3. Statistics

    The heights of young women are approximately normally distributed with a mean of 64.5 inches and a standard deviation of 2.5 inches. Determine the following: what percent of young women would be acceptable as members if being a

  4. math

    The heights of American women between the ages of 18 and 24 are approximately normally distributed. The mean is 64.1 inches, and the standard deviation is 2.5 inches. What percentage of such women are over 5 feet 8 inches tall? z

You can view more similar questions or ask a new question.