H0:29.4H0:29.4 H1:<29.4H1:<29.4 Your sample consists of 38 values, with a sample mean of 28.2. Suppose the population standard deviation is known to be 4.73. a) Calculate the value of the test statistic, rounded to 2 decimal places. z=z= b) At =0.02=0.02, the rejection region is

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

c) The decision is to

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