Question: Show ALL your work manually. That means that all calculations must be shown in their entirety. You must use the formulae used in the textbook.

Show ALL your work manually. That means that all calculations must be shown in their entirety. You must use the formulae used in the textbook. You can add extra space as needed for your answers. You must include the Honor Pledge on all your assignments. 1. The usable lifetime of a particular type of battery is normally distributed with a mean of 1100 days and a standard deviation of 80 days. The manufacturer randomly selects 400 batteries of this type and ships them to K-Mart. a. What is the mean of the sampling distribution of ? b. What is the standard deviation? c. What is the probability that the average usable lifetime of these 400 batteries is between 1097 and 1104 days? 2. The weight of baggage checked by airline passengers is a random variable with a mean of 50 pounds and a standard deviation of 30 pounds. The total baggage limit for 100 randomly selected passengers is 5750 pounds. a. What is the mean of the sampling distribution of the sum of the sample measurements? b. What is the standard deviation of the sampling distribution of the sum of the sample measurements? c. What is the approximate probability the

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