ChE253K Spring HW09 Solutions.Rev02

# ChE253K Spring HW09 Solutions.Rev02 - ChE 253K Applied...

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ChE 253K -- Applied Statistics Homework #9 -- Hypothesis Tests Optional 0. Text Problems 7.48 and 7.49 (a) Do the hypothesis test . .. (b) Calc the 95% confidence limits . .. 1. Using the data in Example on p. 262 5 Points. (a) Test null hypothesis 2 Points. (b) Calc 99% confidence limits 2. Lecture 17 Examples 2 Points/Part for Effort (a) thru (d) 3. Text Problems 7.69 5 Points. (a) Test the null hypothesis. .. 4. Example on Text p. 299 - 300 5 Points. (b) Also, test the null hypothesis against the alternate that p 0.90 . 5 Points. 5. If 50% of all BS C hEs got salary offers . .. Total: 30 Points Partial Credit Guide: 5 Points: Correct calculations and correct conclusion 4 Points: Correct calculation without stating the conclusion. 2 Points: All calculations done, with some errors. 0 Points: No calc's or wrong calc's for the problem

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0. Text Problems 7.48 and 7.49 7.48. See next page. 7.49. With the first value 16.0, the mean increases some to 14.7 and the std deviation in- creases substantially to 0.74. Recalculating the test statistic with these values gives: High Tail t = +2.776 > 0 14.7 14.0 2.11 0.74 5 x t sn μ == =
0.(a) Text Problem 7.48 Sample Stats Table n large small ν mean s or σ s 2 or σ 2 Sample #1 5 small 4 14.4 0.16 Ho or S#2 14.0 Ho: μ = 14.0 Ha: μ 14.0 Hypothesis Test Stats Table Claim Stat: μ , σ or p Claim: , > or < Tails: Both, Hi or Low Ho Value μ o σ o po α Signif. λ Critical mean both 14.0 0.05 0.025 Test Stat Z, t, χ 2 , F Low Tail λ Low Tail TS High Tail λ High Tail TS t -- -2.776 -- +2.776 Comparisons Table Low Tail TS Sample TS

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ChE253K Spring HW09 Solutions.Rev02 - ChE 253K Applied...

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