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# Quiz1 - std of 4.6 Assume that the two tests use diﬀerent...

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Name: UFID#: STA 3024 Introduction to Statistics 2 Quiz 1 Problem 1 (35 points) Two dice are rolled. How many rolls do we need for a better than evens chance of at least one double six? Solution: Problem 2 (35 points) Consider the area under the curve for the standard Normal distribution. Fill in the blank ( exact to 2 decimals) a) About % of the area is between z = - 1 and z = 1. b) About % of the area is between z = - 2 and z = 2. c) About % of the area is between z = - 3 and z = 3. d) About % of the area is between z = - 1 . 7 and z = 1 . 7. Problem 3 (15 points) Scores by women on the SAT-I test are normally distributed with mean of 998 and std of 202. Scores by women on the ACT test are normally distributed with a mean of 20.9 and

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Unformatted text preview: std of 4.6. Assume that the two tests use diﬀerent scales to measure the same aptitude. If a woman gets a SAT score of 1220, ﬁnder her equivalent ACT score. 1 Solution Problem 4 (15 points) When a truckload of apples arrives at a packing plant, a random sample of 150 is se-lected and examined for bruises, discoloration, and other defects. The whole truckload will be rejected if more than 5% of the sample is unsatisfactory. Suppose that in fact 8% of the apples on the truck do not meet the desired standard. What’s the probability that the shipment will be accepted anyway? Solution 2...
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