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H0:34.7 H1: <34.7 Your sample consists of 40 values, with a sample mean of 33.1. Suppose the population standard deviation is known to be 4.01.

H0:34.7

H1:<34.7

Your sample consists of 40 values, with a sample mean of 33.1. Suppose the population standard deviation is known to be 4.01.

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

z= .................

b) =0.08, the rejection region is

  • z <- 1.41 or z > 1.41

  • z > 1.41

  • z < - 1.41

  • z < - 1.75

  • z > 1.75
  • z <- 1.75 or z > 1.75

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 II

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