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Unformatted text preview: = 0 . 05, nd the range of X for which we would accept the hypothesis. (b) If X is 105 and = 0 . 05, would you accept the null hypothesis ( H : = 100)? 4. A random sample of size n = 50 from a population produced the mean X = 3 . 1 and sample standard deviation s = 0 . 5. Suppose that your objective is to show that population mean exceeds 3. (a) State the hypotheses H and H 1 . (b) Perform a test at level = 0 . 05. (c) Explain why can you use normal distribution tools even when you know that X is nonnormal? 5. . Little John had revealed the results of a secret shooting match between Robin Hood and the Sheri of Nottingham. Robin Sheri Number of shoots n 1 = 16 n 2 = 20 Average number of points X 1 = 7 . 5 X 2 = 6 . 9 Sample standard deviation 1 = 2 . 9 1 = 3 . 1 Using the data above, try to prove that Robin is better archer. Use = 0 . 05. 1...
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 Spring '08
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