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# Hw 3 - deviation of σ = 0.0001 inch A random sample of 10...

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Homework 3 Due date: 02/09/2010, 10:00 PM EST Maximum points: 10 1. (4 points) Suppose that we are testing H 0 : µ = µ 0 versus H 1 : µ > µ 0 with a sample size of n = 15. Calculate bounds on the P -value for the following observed values of the test statistic: p-Value α = Upper = Lower = (a) t 0 = 2.35 .016982 .018580376 .025 .01 (b) t 0 = 3.55 .0016 .00177115 .005 .001 (c) t 0 = 2.00 .032644 .034440104 .05 .025 (d) t 0 = 1.55 .071724 .075360577 .10 .05 P-value Calculator: http://www.danielsoper.com/statcalc/calc08.aspx . 2. (6 points) The diameters of steel shafts produced by a certain manufacturing process should have a mean diameter of 0.255 inches. The diameter is known to have a standard
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Unformatted text preview: deviation of σ = 0.0001 inch. A random sample of 10 shafts has an average diameter of 0.2545 inches. (a) Set up the appropriate hypotheses on the mean μ . H : µ = .255 versus H 1 : µ ≠ .255 (b) Test these hypotheses using = 0.05. What are your conclusions? 15.18 Since Z /2= .025=1.96 we reject the null hypothesis (c) Find the P-value for this test. P=2(1-phi(15.81)) =2(1-1)=0 (d) Construct a 95 percent confidence interval on the mean shaft diameter. .254438 Less than or = to mu less than or = to .254562...
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