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Let X1, X2, . . . , X100 denote the actual net weights of

Probability and Statistics for Engineering and the Sciences (with Student Suite Online) | 7th Edition | ISBN: 9780495382171 | Authors: Jay L. Devore ISBN: 9780495382171 196

Solution for problem 5.40 Chapter 5

Probability and Statistics for Engineering and the Sciences (with Student Suite Online) | 7th Edition

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Probability and Statistics for Engineering and the Sciences (with Student Suite Online) | 7th Edition | ISBN: 9780495382171 | Authors: Jay L. Devore

Probability and Statistics for Engineering and the Sciences (with Student Suite Online) | 7th Edition

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Problem 5.40

Let X1, X2, . . . , X100 denote the actual net weights of 100 randomly selected 50-lb bags of fertilizer. a. If the expected weight of each bag is 50 and the variance is 1, calculate P(49.9 X50.1) (approximately) using the CLT. b. If the expected weight is 49.8 lb rather than 50 lb so that on average bags are underfilled, calculate P(49.9 X 50.1).

Step-by-Step Solution:
Step 1 of 3

Variation of sample mean: With a population standard deviation of σ , the variation of the sample means is σX´ , which the standard deviation of the sample mean: σX= σ √n But if we don’t know the population standard deviation, σ , we use the sample standard deviation, S, to approximate the population standard deviation, and the variation of sample means becomes the standard error of the sample mean: S SEX= √ n In general, as long as outcomes of each trial are independent and from a fixed population (random & no replacement or large population relative to sample), then variation of sample ratio is inversely proportional to square root of sample size:

Step 2 of 3

Chapter 5, Problem 5.40 is Solved
Step 3 of 3

Textbook: Probability and Statistics for Engineering and the Sciences (with Student Suite Online)
Edition: 7
Author: Jay L. Devore
ISBN: 9780495382171

Since the solution to 5.40 from 5 chapter was answered, more than 372 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 5.40 from chapter: 5 was answered by , our top Statistics solution expert on 01/02/18, 08:17PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 23 chapters, and 1318 solutions. This textbook survival guide was created for the textbook: Probability and Statistics for Engineering and the Sciences (with Student Suite Online), edition: 7. The answer to “Let X1, X2, . . . , X100 denote the actual net weights of 100 randomly selected 50-lb bags of fertilizer. a. If the expected weight of each bag is 50 and the variance is 1, calculate P(49.9 X50.1) (approximately) using the CLT. b. If the expected weight is 49.8 lb rather than 50 lb so that on average bags are underfilled, calculate P(49.9 X 50.1).” is broken down into a number of easy to follow steps, and 66 words. Probability and Statistics for Engineering and the Sciences (with Student Suite Online) was written by and is associated to the ISBN: 9780495382171.

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Let X1, X2, . . . , X100 denote the actual net weights of