MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question

Testing:

H0:μ≤52.8H0:μ≤52.8
H1:μ>52.8H1:μ>52.8

Your sample consists of 32 values, with a sample mean of 53.7. Suppose the population standard deviation is known to be 1.81.

a) Calculate the value of the test statistic, rounded to 2 decimal places.
z=z=

b) At α=0.02α=0.02, the rejection region is

  • z<-2.33z<-2.33
  • z<-2.05z<-2.05
  • z<-2.33orz>2.33z<-2.33orz>2.33
  • z>2.05z>2.05
  • z>2.33z>2.33
  • z<-2.05orz>2.05z<-2.05orz>2.05


c) The decision is to

  • Accept the alternative hypotheis
  • Accept the null hypothesis
  • Fail to reject the null hypothesis
  • Reject the null hypothesis


d) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that?

  • Type I
  • Type II
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