esting: H0:μ≥13H0:μ≥13 H1:μ<13H1:μ<13 Your sample consists of 43 values, with a sample mean of 12.9. Suppose the population standard deviation is known to be 2.01. 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<-2.33z<-2.33 z<-2.33orz>2.33z<-2.33orz>2.33 z>2.05z>2.05 z<-2.05z<-2.05 z<-2.05orz>2.05z<-2.05orz>2.05 c) The decision is to Fail to reject the null hypothesis Accept the null hypothesis Accept the alternative hypotheis Reject the null hypothesis

MATLAB: An Introduction with Applications
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Testing:

H0:μ≥13H0:μ≥13
H1:μ<13H1:μ<13

Your sample consists of 43 values, with a sample mean of 12.9. Suppose the population standard deviation is known to be 2.01.

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


c) The decision is to

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


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

  • Type I
  • Type II
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