Redo question 33, but assume that the standard deviation is not known and that 3 lb represents the sample standard deviation. Do the test at the 5 % level of significance.

Question 33

Suppose a random sample of 25 people at a local weight-loss center is taken and the mean weight loss is found to be 12 lb. From past history, the standard deviation is known to be 3 lb. Test the hypothesis that the mean weight loss for all the members of the weight-loss center is 10 lb against the alternative that it is more than 10 lb. Do the test at the .05 level of significance.