ChE253K Spring09 HW08 Problems.3

# ChE253K Spring09 HW08 Problems.3 - What is the relationship...

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Name: _________________________ (Please use this as cover sheet to your homework.) ChE 253K -- Applied Statistics -- Homework 08 Due Wednesday, April 1 at Lecture Formulating Hypotheses 1. Text Problem 7.27 Rate the impact of the errors as minor, major or catastrophic. 2. Text Problem 7.37 Hypothesis Testing: One Mean; Large and Small Samples Note: If you are uncertain about hypothesis testing procedures, please consider working with the data sheet and procedure given in lecture with this homework. 3. Lecture 16, Examples 1a, 1b, 1c. (See Lecture 16 for the problem descriptions.) (a) Sample Size: Large. Alternate Hypothesis: Unequal (b) Sample Size: Small. Alternate Hypothesis: Unequal (c) Sample Size: Small. Alternate Hypothesis: Greater Than

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4. Using the data in the Example on Text p. 249. (a) Test the null hypothesis against the alternate hypothesis that μ 28000. (b) Calculate the 99% confidence limits of the putative population mean ( μ 0 ). (Hint: See Lecture 04.) Is the sample mean within the confidence limits of the population mean?
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Unformatted text preview: What is the relationship between the hypothesis test and the confidence limits? Answers: 4.(a) Low Tail TS = -2.57. Sample TS = -2.52 4.(b) The sample mean is within the 99% confidence limits. 5. Using the data in the Example on Text p. 250-1 (a) Calculate the 99% confidence limits of the putative population mean. Is the sample mean within the confidence limits of the population mean? (b) Test the hypotheses at the α = 0.005 level of significance. (c) Though the given values of sample mean, standard deviation and sample number jus-tify rejection of the null hypothesis at the 0.01 level, they do not justify rejection at the 0.005 level. How many more samples would be needed to justify rejection at this level? Answers: 5.(a) The sample mean is within the 99% confidence limits. 5.(b) Low Tail TS = -4.60. Sample TS = -4.12 5.(c) One more sample measurement. Examples (do the problems, not the examples) Example for Problem 4 Example for Problem 5...
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ChE253K Spring09 HW08 Problems.3 - What is the relationship...

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