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Unformatted text preview: * d. .5628 e. .7852 f. .9999 1 3. A manufacturing plant produces steel rods, which follow a Gaussian distribution with a mean of 45 centimeters and a standard deviation of 5 centimeters. A random sample of 15 bills was taken. Find the probability that the sample standard deviation will be less than 6.5 cm. Probability = .95 4. Refer to question 3. The probability is 2.5% that the sample standard deviation will be less than what number? 3.17 5. a. If the expected value of the estimator a is equal to the value of the parameter , then a is said to be unbiased . b. If an estimator a is the most efficient of all the estimators under consideration, then a has a smaller variance than do all of the rest of the estimators. c. If for any positive number , P[ a- < ] 1 as the sample size becomes very large, then a is said to be consistent . 2...
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- Spring '08