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