1) In a study,researchers wanted to estimate the true mean skidding distance along a new road in a European forest.The skidding distance (in meters) were measured at 20 randomly selected road sites.The 95% confidence interval constructed based on the data collected was(303.3,413.6). A logger working on the road claims that the mean skidding distance is at least 425 meters.Does the confidence interval supports the loggers claim?

2) Suppose you are interested in conducting the statistical test of H0 : mu = 200 against Ha:mu>200, where mu is the mean of the population.Suppose you have decided to use the followingdecisionrule:RejectHOifthesamplemeanofarandomsampleof100items ismorethan215. Assumethatthestandarddeviationofthepopulationis80. Findthe probability of making a Type I error, by using this decision rule.