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H0:20.3H0:20.3 H1:>20.3H1:>20.3 Your sample consists of 46 values, with a sample mean of 20.9. Suppose the population standard deviation is known to be 2.84. a)

H0:20.3H0:20.3 H1:>20.3H1:>20.3 Your sample consists of 46 values, with a sample mean of 20.9. Suppose the population standard deviation is known to be 2.84. a) Calculate the value of the test statistic, rounded to 2 decimal places. z=z= b) At =0.08=0.08, the rejection region is

  • z>1.41z>1.41
  • z<-1.41orz>1.41z<-1.41orz>1.41
  • z<-1.75z<-1.75
  • z>1.75z>1.75
  • z<-1.75orz>1.75z<-1.75orz>1.75
  • z<-1.41z<-1.41

c) The decision is to

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

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

  • Type I
  • Type I

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