Thomas is a shift manager at a local fast food place, and is responsible for quality management. Thomas wants to ensure that all the frozen hamburger patties that get delivered by the supplier weigh at least four ounces on average. Assume that the standard deviation of the weight of hamburger patties is known to be 0.1 ounce. Thomas tells one of his employees that as a shipment arrives, select 25 patties at random and find the average weight for the 25 patties.

[3 marks] Formulate a suitable null and alternative hypothesis for Thomas to do the quality check.[7 marks] For what average weight would you tell the employee to reject the shipment, if you wanted the probability of a Type I error to be 0.10 or less?