Acity is concerned that cars are not obeying school zones by speeding through them, putting children at greater risk of injury. the speed limit in school zones is 15 miles per hour. throughout the course of one day, a police officer hides his car on a side street that intersects the middle of the school zone and records the speed of each car that passes through. assume that the population standard deviation is 3 miles per hour. use the data in minitab to determine if cars are speeding through the school zone. a. state the null and alternative hypotheses. b. verify that the conditions for performing a z-test for a single population mean hold. copy and paste any minitab outputs used to aid in your decision onto your answer sheet. c. calculate the value of the test statistic by hand. show the calculation to receive full credit. d. calculate the p-value by hand. show the calculation on your answer sheet for full credit. e. calculate and report the effect size. show the calculation on your answer sheet for full credit. f. calculate a 95% confidence interval for the true population mean. g. write a conclusion in the context of the problem. be sure to use the p-value, the effect size, and the confidence interval to aid in your conclusion