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Consider the problem of testing Ha:µ > 100 against Ho : µ = 100 at the a = 0.05 level, given that you have observed = 102.8 and s = 10.9 from a random sample of n = 55 individuals. (You may assume that the population is approximately Normally distributed.) (a) Come up with a "real world situation" that could motivate performing this partic- ular test. (b) What are the results of the test? What is the p-value? (c) Would the answers to (b) be different if we had used a = 0.01 instead, all else being equal. Explain why or why not? (d) Would the answers to (b) be different if we had used n = 45 instead, all else being equal. Explain why or why not? (e) Would the answers to (b) be different if we had used Ha : µ # 100 instead, all else being equal. Explain why or why not?

Consider the problem of testing Ha:µ > 100 against Ho : µ = 100 at the a = 0.05 level, given that you have observed = 102.8 and s = 10.9 from a random sample of n = 55 individuals. (You may assume that the population is approximately Normally distributed.) (a) Come up with a "real world situation" that could motivate performing this partic- ular test. (b) What are the results of the test? What is the p-value? (c) Would the answers to (b) be different if we had used a = 0.01 instead, all else being equal. Explain why or why not? (d) Would the answers to (b) be different if we had used n = 45 instead, all else being equal. Explain why or why not? (e) Would the answers to (b) be different if we had used Ha : µ # 100 instead, all else being equal. Explain why or why not?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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Consider the problem of testing Ha : µ > 100 against Ho : u = 100 at the a = level, given that you have observed a 55 individuals. (You may assume that the population is approximately Normally distributed.) 0.05 102.8 and s = 10.9 from a random sample of n = (a) Come up with a "real world situation" that could motivate performing this partic- ular test. (b) What are the results of the test? What is the p-value? (c) Would the answers to (b) be different if we had used a = 0.01 instead, all else being equal. Explain why or why not? (d) Would the answers to (b) be different if we had used n = equal. Explain why or why not? 45 instead, all else being (e) Would the answers to (b) be different if we had used Ha : µ # 100 instead, all else being equal. Explain why or why not?
Transcribed Image Text:Consider the problem of testing Ha : µ > 100 against Ho : u = 100 at the a = level, given that you have observed a 55 individuals. (You may assume that the population is approximately Normally distributed.) 0.05 102.8 and s = 10.9 from a random sample of n = (a) Come up with a "real world situation" that could motivate performing this partic- ular test. (b) What are the results of the test? What is the p-value? (c) Would the answers to (b) be different if we had used a = 0.01 instead, all else being equal. Explain why or why not? (d) Would the answers to (b) be different if we had used n = equal. Explain why or why not? 45 instead, all else being (e) Would the answers to (b) be different if we had used Ha : µ # 100 instead, all else being equal. Explain why or why not?
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