The expected mean of a continuous population is 100, and its standard deviation is 12. A sample of 50 measurements gives a sample mean of 96. Using a 0.01 level of significance, a test is to be made to decide between “the population mean is 100” or “the population mean is different from 100.” State or find each of the following:

a. Ho

b. Ha

c. 

d.  (based on Ho)

e. x

f.  g. x h. z, z-score for x

i. p-value j. Decision k. Sketch the standard normal curve and locate z and p-value.