MTB > execute 'nw2_2_2.mtb'
MTB > # Megan
MTB > # Stats II Lab 2 Question 2
MTB > # This is file NW2_2_2.MTB
MTB >  
MTB > # (a)
MTB > # z = (x - mu) / sigma
MTB > let k1 = (157 - 162) / 26
MTB > print k1
K1       -0.192308
MTB >  
MTB > # P(z < k1)
MTB > cdf k1
   -0.1923    0.4238
MTB >  
MTB > # P(z > k1)
MTB > let k2 = 1 - .4238
MTB > print k2
K2       0.576200
MTB >  
MTB > # (b)
MTB > # z = (xbar - mu) / (sigma / sqrt(n))
MTB > let k3 = (157 - 162) / (26 / sqrt(12))
MTB > print k3
K3       -0.666173
MTB >  
MTB > # P(z < k3)
MTB > cdf k3
   -0.6662    0.2527
MTB >  
MTB > # P(z > k3)
MTB > let k4 = 1 - 0.2527
MTB > print k4
K4       0.747300
MTB >  
MTB > nooutfile