The Weather Underground reported that the mean amount of summer rainfall for the northeastern US is at least 11.52 inches. Ten cities in the northeast are randomly selected and the mean rainfall amount is calculated to be 7.42 inches with a standard deviation of 1.3 inches. At the o = 0.05 level, can it be concluded that the mean rainfall was below the reported average? What if a = 0.01? Assume the amount of summer rainfall follows a normal distribution. Please also state if the assumption of normal distribution was essential for solving this question. You will need to present the answer in the format that shows all the steps of hypothesis testing For example: Given? Step1: what is the parameter of interest? Provide notation. What is the hypothesis of interest? Step2: What method would you use to test the above hypothesis (stating the name of the function used in TI-calculator will suffice)? Provide brief reasoning for your choice. Step3: If using the pvalue-method, then provide the name and value of the test statistic. If using the CI-method, then provide the name for the type of interval and its value. Step4: What do you conclude? Provide reasoning for your conclusion