statistics

To test H0:µ =80 versus H1:µ < 80, a simple random sample of size n = 22 is obtained from the population that is known to be normally distributed.
(a) If = 76.9 and s = 8.5, compute the test statistic.
(b) If the researcher decides to test the hypothesis at the α = 0.02 level of significance, determine the critical value.
α = 0.02 level of significance → Z 0.02 = the Z-score that corresponds to a right area of 0.02
= invNorm(1-area, µ, σ)
(c) Draw a t-distribution that depicts the critical region.
(d) Will the researcher reject the null hypothesis? Why?

  1. 👍 0
  2. 👎 0
  3. 👁 175
asked by Liz
  1. To test H0:µ =80 versus H1:µ < 80, a simple random sample of size n = 22 is obtained from the population that is known to be normally distributed.
    (a) If = 76.9 and s = 8.5, compute the test statistic.
    (b) If the researcher decides to test the hypothesis at the α = 0.02 level of significance, determine the critical value.
    α = 0.02 level of significance → Z 0.02 = the Z-score that corresponds to a right area of 0.02
    = invNorm(1-area, µ, σ)
    (c) Draw a t-distribution that depicts the critical region.
    (d) Will the researcher reject the null hypothesis? Why?

    1. 👍 0
    2. 👎 0
    posted by liz
  2. If-x= 76.9 and s = 8.5, compute the test statistic.

    1. 👍 0
    2. 👎 0
    posted by liz

Respond to this Question

First Name

Your Response

Similar Questions

  1. Statistics

    To test H0:  = 80 versus H1:  < 80. a simple random sample of size n = 22 is obtained from a population that is known to be normally distributed. a) If ¯x = 76.9 and s = 8.5, compute the test statistic.

    asked by Ted on April 25, 2013
  2. sssc

    Suppose we test H0 : p = .3 versus Ha : p ≠ .3 and that a random sample of n = 100 gives a sample proportion p = .20. a: Test H0 versus Ha at the .01 level of significance by using critical values. What do you conclude? b: Find

    asked by Anonymous on June 11, 2012
  3. Basic Statistics

    A population of 300 voters contains 147 Republicans, 135 Democrats, and 18 independents and members of other parties. A simple random sample of 30 voters will be drawn from this population. Consider repeatedly drawing simple

    asked by mike on July 24, 2011
  4. statistics

    Which of the following criteria must be met to do a one-sample test for a proportion? A. The data values in the sample must be independent. B. The parent population must be normally distributed. C. The data must come from a random

    asked by Katie on June 27, 2013
  5. statistics

    A simple random sample of a size n is drawn from a population that is normally distributed. The sample mean, x is found to be 110, and the sample standard deviation, s, is found to be 10. A- Construct a 95% confidence interval

    asked by Anonymous on March 29, 2015
  6. Statistics

    Which of the following criteria must be met to do a one-proportion z- test? A. The data values in the sample must be dependent. B. The parent population must be normally distributed. C. The data must come from a random sample. D.

    asked by Penny on October 29, 2013
  7. Probabilty & Statistic

    A random sample is selected from a normal population with a mean of __40 and a standard deviation of __10. After a treatment is administered to the individuals in the sample, the sample mean is found to be M _ 42. a. How large a

    asked by Sharon on January 23, 2012
  8. Statistics

    . A random sample is selected from a normal population with a mean of __40 and a standard deviation of __10. After a treatment is administered to the individuals in the sample, the sample mean is found to be M _ 42. a. How large a

    asked by Sharon on January 26, 2012
  9. Statistics

    Kind attention Psydag: A random sample of size 20 from a normal population with sample mean 42 and sample standard deviation of 6 . To test the hypothesis the population mean 44 at 5% level of significance , find the p-value and

    asked by Mrs. Lakshmi on January 1, 2010
  10. Stats

    A simple random sample will be obtained from a normally distributed population. Find the minimum sample size needed to be 99% confident that the sample standard deviation s is within 5% of the standard deviation. Is such a sample

    asked by Lindsey on November 28, 2011

More Similar Questions