Conduct a test of a hypothesis about a population mean

8/22/2016 Check Your Work

http://ezto.mheducation.com/hm.tpx 1/1

 1. value:10.00 points  

This window shows what is correct and incorrect for the work you have completed so far. Even if all of the work you have done so far is correct, you may not have completed everything.

A sample of 30 observations is selected from a normal population. The sample mean is 21, and the population standard deviation is 6. Conduct the following test of hypothesis using the 0.05 significance level.    H0 : μ ≤ 20 H1 : μ > 20   a. Is this a one­ or two­tailed test?    

  "Two­tailed"­the alternate hypothesis is different from direction. "One­tailed"­the alternate hypothesis is greater than direction.

  b. What is the decision rule? (Round your answer to 3 decimal places.)  

   Reject    H0, when z >  .050     c. What is the value of the test statistic? (Round your answer to 2 decimal places.)  

  Value of the test statistic 3.50    

  d. What is your decision regarding H0?    

  Reject Do not reject

  There is  insufficient    evidence to conclude that the population mean is greater than 20.

  e. What is the p­value? (Round your answer to 4 decimal places.)  

  p­value .0008       

 

©2016 McGraw­Hill Education. All rights reserved.