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Testing: H0:30.2H0:30.2 H1: <30.2H1: <30.2 Your sample consists of 24 values, with a sample mean of 30. Suppose the population standard deviation is known to

Testing: H0:30.2H0:30.2 H1:<30.2H1:<30.2 Your sample consists of 24 values, with a sample mean of 30. Suppose the population standard deviation is known to be 4.79. a) Calculate the value of the test statistic, rounded to 2 decimal places. z=z= b) At =0.03=0.03, the rejection region is

  • z>1.88z>1.88
  • z>2.17z>2.17
  • z<-2.17z<-2.17
  • z<-2.17orz>2.17z<-2.17orz>2.17
  • z<-1.88orz>1.88z<-1.88orz>1.88
  • z<-1.88z<-1.88

c) The decision is to

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

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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