Testing:

Ho: u>=41

H1: u<41

Your sample consists of 44 values, with a sample mean of 40.7. Suppose the population standard deviation is known to be 1.37.

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

z=?

b) At=0.025, the rejection region is:

z>2.24

z<-2.24

z<-2.24 or z>2.24

z< -1.96

z< -1.96 or z> 1.96

z> 1.96

c) The decision is to ?

• Fail to reject the null hypothesisHo since the test statistic does not fall in the rejected region.
• Reject the null hypothesisHo since the test statistic falls in the rejected region.
• Accept the alternative hypotheisH1 since the test statistic falls in the accepted region.
• Reject the alternative hypothesis H1 since the test statistic falls in the rejected region.

d) Supposed you mistakenly failed to reject the null hypothesis in error in this problem, what type of error is that?