Unformatted text preview: α = 0 . 05, ﬁnd the range of X for which we would accept the hypothesis. (b) If X is 105 and α = 0 . 05, would you accept the null hypothesis ( H : μ = 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 α = 0 . 05. (c) Explain why can you use normal distribution tools even when you know that X is non-normal? 5. . Little John had revealed the results of a secret shooting match between Robin Hood and the Sheriﬀ of Nottingham. Robin Sheriﬀ Number of shoots n 1 = 16 n 2 = 20 Average number of points X 1 = 7 . 5 X 2 = 6 . 9 Sample standard deviation σ 1 = 2 . 9 σ 1 = 3 . 1 Using the data above, try to prove that Robin is better archer. Use α = 0 . 05. 1...
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- Spring '08
- Standard Deviation, Sample standard deviation, Robin n1