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10 In a tomato processing factory, the drained weight after filling cans of tomatoes in puree averages 21.8 ounces during the morning. One afternoon, a quality control worker selects five cans of tomatoes filled that afternoon and weighs 345 the drained contents in ounces (based on Duncan, 1974, page 569; Grant and Leavenworth, 1972, page 41): 19.0 19.5 19.5 20.5 21.5 a. Plot the observations. b. Use at distribution to test the null hypothesis that the average drained weight in cans filled that afternoon equaled 21.8 ounces. Calculate a confi- dence interval for the average afternoon drained weight. c. Repeat part (b) using a Wilcoxon signed rank distribution. d. Use a binomial distribution to test the null hypothesis that the median drained weight in cans filled that afternoon equaled 21.8 ounces. Calculate a confidence interval for the median afternoon drained weight. e. Compare your results in parts (b), (c), and (d). Discuss your findings.

10 In a tomato processing factory, the drained weight after filling cans of tomatoes in puree averages 21.8 ounces during the morning. One afternoon, a quality control worker selects five cans of tomatoes filled that afternoon and weighs 345 the drained contents in ounces (based on Duncan, 1974, page 569; Grant and Leavenworth, 1972, page 41): 19.0 19.5 19.5 20.5 21.5 a. Plot the observations. b. Use at distribution to test the null hypothesis that the average drained weight in cans filled that afternoon equaled 21.8 ounces. Calculate a confi- dence interval for the average afternoon drained weight. c. Repeat part (b) using a Wilcoxon signed rank distribution. d. Use a binomial distribution to test the null hypothesis that the median drained weight in cans filled that afternoon equaled 21.8 ounces. Calculate a confidence interval for the median afternoon drained weight. e. Compare your results in parts (b), (c), and (d). Discuss your findings.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.2: Applied Problems
Problem 22E
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This is just a homework I am trying to understand. I noticed x bar was not given but the population mean is given. Is this something like paired t test? Kindly help solve. Thank you!

EXERCISE 10-9 Exercises for Chapter 10 In a tomato processing factory, the drained weight after filling cans of tomatoes in puree averages 21.8 ounces during the morning. One afternoon, a quality control worker selects five cans of tomatoes filled that afternoon and weighs 345 the drained contents in ounces (based on Duncan, 1974, page 569; Grant and Leavenworth, 1972, page 41): 19.0 19.5 19.5 20.5 21.5 a. Plot the observations. b. Use at distribution to test the null hypothesis that the average drained weight in cans filled that afternoon equaled 21.8 ounces. Calculate a confi- dence interval for the average afternoon drained weight. c. Repeat part (b) using a Wilcoxon signed rank distribution. d. Use a binomial distribution to test the null hypothesis that the median drained weight in cans filled that afternoon equaled 21.8 ounces. Calculate a confidence interval for the median afternoon drained weight. e. Compare your results in parts (b), (c), and (d). Discuss your findings.
Transcribed Image Text:EXERCISE 10-9 Exercises for Chapter 10 In a tomato processing factory, the drained weight after filling cans of tomatoes in puree averages 21.8 ounces during the morning. One afternoon, a quality control worker selects five cans of tomatoes filled that afternoon and weighs 345 the drained contents in ounces (based on Duncan, 1974, page 569; Grant and Leavenworth, 1972, page 41): 19.0 19.5 19.5 20.5 21.5 a. Plot the observations. b. Use at distribution to test the null hypothesis that the average drained weight in cans filled that afternoon equaled 21.8 ounces. Calculate a confi- dence interval for the average afternoon drained weight. c. Repeat part (b) using a Wilcoxon signed rank distribution. d. Use a binomial distribution to test the null hypothesis that the median drained weight in cans filled that afternoon equaled 21.8 ounces. Calculate a confidence interval for the median afternoon drained weight. e. Compare your results in parts (b), (c), and (d). Discuss your findings.
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