1) A medical radioisotope generator has been refined so that only an average of 3 millirads of radiation/week is emitted during the production process. The population standard deviation of radiation during the process is known to be,= 0.251 millirads/week. The machine has recently undergone an overhaul. Your job is to report on the average radiation/week this machine is now producing. Any deviation from 3 millirads/week is of great concern. You conduct a sample of 7 weeks of production and compute a sample mean of 2.80 millirads of radiation/week. You can assume the amount of radiation produced during production is a normally distributed random variable and the population standard deviation is still= 0.251 millirads of radiation/week.

a) State the null and alternative hypothesis.

b) Calculate the appropriate test statistic.

c) Using the p-value approach in your decision making, at the alpha = 0.01 level of significance, is there evidence that the average radiation / week hasdeviatedfrom 3 millirads of radiation/week after the overhaul?Report p-valueand use it to support your conclusion.