Question: H0:51.5 H1: <51.5 Your sample consists of 50 values, with a sample mean of 51.3. Suppose the population standard deviation is known to be 1.52.

H0:51.5

H1:<51.5

Your sample consists of 50 values, with a sample mean of 51.3. Suppose the population standard deviation is known to be 1.52.

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

z=

b) At=0.04, the rejection region is

  • z<-1.75orz>1.75
  • z>1.75
  • z<-2.05
  • z<-2.05orz>2.05
  • z<-1.75
  • z>2.05

c) The decision is to

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