Background: The year is 2050 and you are working as an engineer to ensure the quality production of jetpacks as a children's toy. Each jetpack must be able to produce an average thrust of 400N but no more than 500M of thrust when rst started. Anything less than 400N and the pack will be ineffective and any more than 500M is likely to cause the child to hurt him or herself. You decide to pull 64 jetpacks from off of the production line and test their thrusts. You nd that the average thrust value produced at startup is 480.1 N with a standard deviation of 140.5 N. Use this information to determine if the jetpacks are being produced according to these standards with a Type I error probability of no more than 0.5%. Hint: there are two distinct conditions that you need to check. Use a condence interval approach to test one condition; use P-values to test the other oondition. Once you have checked both conditions, summarize your overall conclusions