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# Let X equal the thickness of spearmint gum manufactured

ISBN: 9780321923271 41

## Solution for problem 4E Chapter 8.1

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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practice dhawan.chaitanya January 2017 1 Introduction This is a practice submission. These are no notes. There is a theory which states that if ever anyone discovers exactly what the Universe is for and why it is here, it will instantly disappear and be replaced by something even more bizarre and inexplicable. There is another theory which states that this has already happened. 2 Conclusion \I always thought something was fundamentally wrong with the universe" () 1

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##### 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