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Let X equal the thickness of spearmint gum manufactured

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 4E Chapter 8.1

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 4E

PROBLEM 4E

Let X equal the thickness of spearmint gum manufactured for vending machines. Assume that the distribution of X is N(μ, σ2). The target thickness is 7.5 hundredths of an inch. We shall test the null hypothesis H0: μ = 7.5 against a two-sided alternative hypothesis, using 10 observations.

(a) Define the test statistic and critical region for an α =0.05 significance level. Sketch a figure illustrating this critical region.

(b) Calculate the value of the test statistic and state your decision clearly, using the following n = 10 thicknesses in hundredths of an inch for pieces of gum that were selected randomly from the production line:

(c) Is μ = 7.50 contained in a 95% confidence interval for μ?

Step-by-Step Solution:
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Chapter 8.1, Problem 4E is Solved
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Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

The full step-by-step solution to problem: 4E from chapter: 8.1 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. This full solution covers the following key subjects: test, region, thickness, critical, Statistic. This expansive textbook survival guide covers 59 chapters, and 1476 solutions. This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. The answer to “Let X equal the thickness of spearmint gum manufactured for vending machines. Assume that the distribution of X is N(?, ?2). The target thickness is 7.5 hundredths of an inch. We shall test the null hypothesis H0: ? = 7.5 against a two-sided alternative hypothesis, using 10 observations.(a) Define the test statistic and critical region for an ? =0.05 significance level. Sketch a figure illustrating this critical region.(b) Calculate the value of the test statistic and state your decision clearly, using the following n = 10 thicknesses in hundredths of an inch for pieces of gum that were selected randomly from the production line: (c) Is ? = 7.50 contained in a 95% confidence interval for ??” is broken down into a number of easy to follow steps, and 117 words. Since the solution to 4E from 8.1 chapter was answered, more than 361 students have viewed the full step-by-step answer.

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Let X equal the thickness of spearmint gum manufactured