For each of the following, state (using symbols) the null and alternative hypotheses.
a. Is the mean IQ of a sample of 60 children significantly below the national average of 100?
b. Is the proportion of men in the class more than that expected by chance?
c. Does the mean speed of vehicles on the Thruway exceed 65?
d. Does the mean temperature level exceed 50 degrees?
e. Does the mean age of schoolchildren who have the measles differ from 11?
f. The persons in a weight loss diet group weigh themselves before beginning the diet. Five weeks later they each re-weigh and compute the difference: before – after. The group average difference is then computed. Is the diet successful in achieving weight loss?