statistics

A college student takes a standardized test and scores a 163. If the mean is 155 and the standard deviation is 7, what is the student’s percentile rank? (Assume a normal distribution.)

  1. 👍 0
  2. 👎 0
  3. 👁 671
  1. 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 related to the Z score. Multiply by 100.

    Percentile rank is % ≤ any score.

    1. 👍 0
    2. 👎 0
  2. A researcher is interested in determining whether acupuncture affects pain tolerance. An experiment is performed in which 15 students are randomly chosen from a large pool of university undergraduate volunteers. Each subject serves in two conditions. In both conditions, each subject receives a short-duration electric shock to the pulp of a tooth. The shock intensity is set to produce a moderate level of pain to the unanesthetized subject. After the shock is terminated, each subject rates the perceived level of pain on a scale of 0–10, with 10 being the highest level. In the experimental condition, each subject receives the appropriate acupuncture treatment prior to receiving the shock. The control condition is made as similar to the experimental condition as possible, except a placebo treatment is given instead of acupuncture. The two conditions are run on separate days at the same time of day. The pain ratings in the accompanying table are obtained.
    a. What is the alternative hypothesis? Acupuncture treatment and placebo.
    b. Once you have generated a hypothesis, the process of hypothesis testing becomes important, comparing your results against the null hypothesis. Assume a nondirectional hypothesis is appropriate.
    c. What is the null hypothesis?
    d. Using 0.052 tail, what is your conclusion?
    One tail represents a positive effect or association; the other, a negative effect.) A one-tailed hypothesis has the statistical advantage of permitting a smaller sample size as compared to that permissible by a two-tailed hypothesis. Unfortunately, one-tailed hypotheses are not always appropriate; in fact, some investigators believe that they should never be used.
    e. What error might you be making by your conclusion
    f. in part c?
    g. To what population does your conclusion apply?
    h. Subject Acupuncture Placebo
    i. 1 4 6
    j. 2 2 5
    k. 3 1 5
    l. 4 5 3
    m. 5 3 6
    n. 6 2 4
    o. 7 3 7
    p. 8 2 6
    q. 9 1 8
    r. 10 4 3
    s. 11 3 7
    t. 12 4 8
    u. 13 5 3
    v. 14 2 5
    w. 15 1 4
    cognitive, health

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Stats

    A sociology professor assigns letter grades on a test according to the following scheme. A: Top 14% of scores B: scores below the top 14% and above the bottom 55% C: scores below the top 45% and above the bottom 17% D: scores

  2. statistics

    The distribution of scores on a standardized aptitude test is approximately normal with a mean of 490 and a standard deviation of 95. What is the minimum score needed to be in the top 25% on this test? Carry your intermediate

  3. Programming

    The raptor program displays the grade for each test score and the average of all four test scores. Use a loop to input four test scores. Validate the input. The test scores must be between 0 and 100.

  4. Psychology, statistics

    On a measure of artistic ability, the mean for college students in New Zealand is 150 and the standard deviation is 25. Give the z scores for new Zealand college students who score (a) 100, (b) 120 and (c) 140. Give a raw scores

  1. Math

    Suppose scores on an IQ test are normally distributed. If the test has a mean of 100 and a standard deviation of 10, what is the probability that a person who takes the test will score between 90 and 110?

  2. math

    A college student takes a standardized test and scores a 163. If the mean is 155 and the standard deviation is 7, what is the student’s percentile rank? (Assume a normal distribution.)

  3. Math

    The combined math and verbal scores for students taking a national standardized examination for college admission, is normally distributed with a mean of 620 and a standard deviation of 220. If a college requires a student to be

  4. statistics

    A researcher is testing the hypothesis that consuming a sports drink during exercise improves endurance. A sample of n=50 male college students is obtained and each student is given a series of three endurance tasks and asked to

  1. Algebra

    On a standardized test, the distribution of scores is normal, the mean of the scores is 75, and the standard deviation is 5.8. If a student scored 83, the student's score ranks 1. below the 75th percentile 2. above the 97th

  2. math

    Suppose that a college admissions office needs to compare scores of students who take the Scholastic Aptitude test(SAT) wit those who take the american college test (ACT). Suppose that among the college's applicants who take the

  3. stat

    for randomly selected adults, IQ scores are normally distributed with a standard deviation of 15. the scores of 14 randomly selected college students are listed below. use a 0.10 significance level to test the claim that the

  4. statistics

    A researcher is testing the effect of a new cold and flu medication on mental alertness. A sample of n=9 college students is obtained and each student is given the normal dose of the medicine. Thirty minutes later, each students

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