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
member required a height of 70 inches or more?
For the population of young women determine the heights of the shortest 8%.
Diagrams required.

  1. 👍
  2. 👎
  3. 👁
  1. You need a z- score

    70 - 64.5 divided by 2.5

    Once you get the z-score, use a calculator or normal table to find the probability to the right of that z-score.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Prob and Stats

    To estimate the mean height population of male students on your campus, you will measure and SRS of students. Heights of people the same sex and similiar ages are close to normal. You know from government data that the standard

  2. Statistic

    Heights of adult men have a mean of 69.0 inches and a standard deviation of 2.8 inches. Approximately what percentage of adult men have a height between 66.2 and 77.4 inches? Must show the number and the empirical rule

  3. 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

  4. 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

  1. 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

  2. Statistics

    Assuming that the heights of college women are normally distributed with mean 62 inches and standard deviation 3.5 inches, what percentage of women are between 58.5 inches and 72.5 inches? 34.1% 84.0% 15.7% my answer was 13.6

  3. AP Stats

    The distribution of heights of adult American men is approximately normal with mean 69 inches and standard deviation 2.5 inches. Use the 68-95-99.7 rule to answer the following questions: (d) A height of 71.5 inches corresponds to

  4. stat

    assume that the heights of men are normally distributed with a mean of 68.4 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 69.4 inches

  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. Statistics

    The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What is the probability that the average height of a sample of ten 18-year-old men will be less than 70

  3. Statistics

    In a certain country the heights of adult men are normally distributed with a mean of 69.4 inches and a standard deviation of 2.4 inches. The​ country's military requires that men have heights between 66 inches and 76 inches.

  4. STAT

    Assume that women’s heights are normally distributed with a mean given by µ = 64.6 inches and standard deviation given by σ = 2.2 inches. What area under the normal curve corresponds to the probability that a woman’s height

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