Suppose that the height of male students at a large university is normally distributed with a mean of 69 inches and a standard deviation of 3.0 inches. If 16 samples consisting of 25 students each are obtained, what is the probability that the mean of these 16 samples is between 68 and 70 inches?

  1. 👍 0
  2. 👎 0
  3. 👁 834
  1. Z = (mean1 - mean2)/standard error of the mean (SEm)

    SEm = SD/√n(in each sample)

    Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions related to these Z scores.

    1. 👍 0
    2. 👎 0
  2. 0.818

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. statistics

    The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.02 and a standard deviation of .29. Find the probability that the mean GPA of a random sample of 20 students

  2. Statistics - M/C

    14. The marks on a statistics test are normally distributed with a mean of 62 and a variance of 225. If the instructor wishes to assign B’s or higher to the top 30% of the students in the class, what mark is required to get a B

  3. Math

    A state university wants to increase its retention rate of 4% for graduating students from the previous year. After implementing several new programs during the last two years, the university reevaluated its retention rate.

  4. 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

  1. Statistics

    a random group of seniors was selected from a university and asked about their plans for the following year. The school advising office claims that 50% of the students plan to work, 25% of the students plan to continue in school,

  2. probability and statistics

    Chapter 9: 17. Do students at various universities differ in how sociable they are? Twenty-five Students were randomly selected from each of three universities in a region and Were asked to report on the amount of time they spent

  3. statistics!

    1) Entry to a certain University is determined by a national test. The scores on this test are normally distributed with a mean of 500 and a standard deviation of 100. Tom wants to be admitted to this university and he knows that

  4. statistics

    A school club consists of 22 male students and 15 female students. If 3 students are selected to represent the club in the student government, what is the probability 2 will be male and 1 will be female?

  1. Math

    2. The following is a random sample of grades achieved on statistics examination by 10 male students in a very large class and a random sample of grades achieved by 8 female students. Male 78 87 75 64 90 80 65 86 74 81 Female 71

  2. science

    Suppose that a biologist states that the average height of undergraduate students at your university is 205 cm plus or minus a standard deviation of 17 cm. What does this mean? Does it mean that the height of undergraduates at the

  3. Economics

    Suppose a university decides to alter its tuition schedule by separating its students based on how many years of college they have completed. Most university programs require four years to complete. First-year students would get a

  4. science

    The mean weight of 500 male students at a certain college is 151 pounds (lb), and the standard deviation is 15 lb. Assuming that the weights are normally distributed, find the probability of students weight (a) between 121 and 155

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