1-A barge is loaded with 25 grain containers whose weights are independent identically distributed random variables. The mean weight of the containers is ? = 1000 kilograms, and the standard deviation of the weights is ? = 150 kilograms. Which of the following statements is true concerning thetotalweight, T, of the grain containers loaded onto the barge?

• A.The standard deviation of T is 61.24 kg. (Rounded to 2 decimal places.)
• B.The standard deviation of T is 3750 kg.
• C.The expected value of T is 25,000 kg.
• D.The variance of T is 112,500.
• E.The expected value of T is 5000 kilograms.

2-A drug manufacturer markets a brand of pain reliever that it claims to be 95% effective in relieving headache pain. A consumer group decides to select a sample of 20 people at random who suffer from headaches and give them the medicine. They will then count the number of people who indicate to have experienced relief from their pain. Assume that the effect of the drug on each person is independent of the effect on all other people receiving the drug, and that a Binomial model is appropriate.

Suppose the manufacturer's claim is not true, and in factp= .95. Using the same criterion given in question 2, what is the probability that, based on the results in the sample, the consumer group will publish a report questioning the claim made by the manufacturer? (Round your answer to 4 decimal places.)

• A..7358
• B..6083
• C..6769
• D..0329
• E..3917

3-A hotel desk clerk recorded the number of people that check in to the hotel during a 30-minute period for 250 randomly selected 30-minute increments. The hotel clerk works a variety of shifts (evening, morning, afternoon, etc.) This hotel clerk is taking an Introductory Statistics course at her local Community College and she believes that the number of people that check in during a 30 minute period follows a Poisson distribution.

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