The public relations officer for a particular city claims the average monthly cost for childcare outside the home for a single child is $700. , A potential resident is interested in whether that claim is correct. She obtains a random sample of 100 observations .and computes the average monthly cost of this type of childcare to be $689 with a sample standard deviation of $40. Perform the appropriate test of hypothesis for the potential resident at the a=0.01 1. If you use the confidence interval (CI) approach to conduct the inference, what is the constructed CI? (report your answer in the interval form, 9.9., (12.34, 56.78) ) 2. What is the test statistic? 3. What is the puvalue of the test