statistics

posted by .

The mean of math SAT scores is 500 and the standard deviation is 100. A random sample of 64 students from Leeds H.S. received an average of 480. Conduct a hypothesis test to determine if the population mean SAT score for Leeds H.S. is less than 500 with alpha = .05. Determine a p-value and explain it.
I know I need a one-tail test.

  • statistics -

    Yes, you are correct. This will be a one-tailed test (the alternate hypothesis shows a specific direction on a one-tailed test). Use a z-test. See your other post for an example on calculating the z-test statistic using a z-test.

    Your hypotheses for this problem:
    Ho: µ = 500 -->null hypothesis
    Ha: µ < 500 -->alternate hypothesis

    The p-value is the actual level of the test statistic which you can find using a z-table. Compare with .05 to determine whether or not to reject the null. If you reject the null, then you can conclude µ < 500.

    I hope this will help get you started.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. statistics

    what are the mean and standard deviation of a sampling distribution consisting of samples of size 16?
  2. statistics

    Prep Courses? Scores for men (nationwide) on the verbal portion of the SAT test are normally distributed with a mean of 509 and a standard deviation of 112. Randomly selected men are given the Columbia review course before taking the
  3. statistics

    The average math SAT score is 500 with a standard deviation of 100. A particular high school claims that its students have unusually high math SAT scores. A random sample of 50 students from this school was selected, and the mean math …
  4. statistics

    The population of SAT scores forms a normal distribution with a mean of µ =500 and a standard deviation of σ =100. If the average SAT score calculated for a sample of n = 25 students, a. What is the probability that the sample …
  5. statistics

    SAT Exam Scores – A school administrator wonders if students whose first language is not English score differently on the math portion of the SAT exam than students whose first language is English. The mean SAT math score of students …
  6. probability and statistics

    the population of sat scores forms a normal distribution with a mean of u=500 and a standard deviation of o=100. if the average sat score is calculated for a sample of n=25 students. a. what is the probability that the sample mean …
  7. statistics

    A group of 200 students takes the Kaplan course in hopes that it will improve their SAT scores above the national mean of 500 on the math section. The population standard deviation of the SAT is known to be 100. Use an alpha level …
  8. CRJ303-Statistics question

    Re-worded from the "Study Questions" part of Chapter 5 from this site: "Student Study Site for Essentials of Social Statistics for a Diverse Society" Please show the steps for each question "When the Scholastic Aptitude Test (SAT) …
  9. Statistics

    A simple random sample of 120 SAT scores ahs a mean of 1540. Assume that SAT scores have a population standard deviation of 333. a) Construct a 95% conf. interval estimate of the mean SAT score. b) Is a 99% conf. interval estimate …
  10. Statistics

    Scores on an SAT test have a mean of μ = 1026 and a standard deviation of σ = 209. Compute the margin of error of the sample mean for a random sample of 100 students.

More Similar Questions