### Statistics Problem Set: Rejecting the Null Hypothesis

3. Consider the hypothesis test given by H_0: u = 670 H_1: u does not equal 670 In a random sample of 70 subjects, the sample mean is found to be 678.2. The population standard deviation is known to be omega = 27. (a) Determine the P-value for this test. (Show work) (b) Is there sufficient evidence to