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Why is it that the correct answer is E? Are the explanation and answer right or not?

Why is it that the correct answer is E? Are the explanation and answer right or not?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 51E
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Why is it that the correct answer is E? Are the explanation and answer right or not?

14:50 538 < D 00 00 (A) 29.4 (B) 100 (C) 609 (D) 864 (E) 865 A 批注 II. A 编辑 PDF 填写和签名 AP statistics Prep 统计 2023 导出 A + 100% 6. An ambitious farmer has set out to maximize the size of the eggs laid by his chickens. After careful thought, he has decided to experiment with a new type of feed. Based on data acquired from the feed manufacturer, he learned that the standard deviation of the eggs laid by the chickens that consumed the new feed is 7.5 g. Of the following, which is the fewest number of eggs that should be sampled to obtain an estimate within 0.5 g of the true mean of egg weights, and at the farmer's insistence, at a confi- dence of 95 percent? QAA 7. Houston, Texas, decided to annex part of its surrounding counties. Statistics graduate students at the UT School of Public ...
Transcribed Image Text:14:50 538 < D 00 00 (A) 29.4 (B) 100 (C) 609 (D) 864 (E) 865 A 批注 II. A 编辑 PDF 填写和签名 AP statistics Prep 统计 2023 导出 A + 100% 6. An ambitious farmer has set out to maximize the size of the eggs laid by his chickens. After careful thought, he has decided to experiment with a new type of feed. Based on data acquired from the feed manufacturer, he learned that the standard deviation of the eggs laid by the chickens that consumed the new feed is 7.5 g. Of the following, which is the fewest number of eggs that should be sampled to obtain an estimate within 0.5 g of the true mean of egg weights, and at the farmer's insistence, at a confi- dence of 95 percent? QAA 7. Houston, Texas, decided to annex part of its surrounding counties. Statistics graduate students at the UT School of Public ...
6. E The margin of error is calculated using the formula ME = Za X √n The farmer is looking for an ME of 0.5 g and the standard deviation is 7.5 g. Z0.05 1.96. Substituting into the formula gets us: 96 (7/5), so n ≥ ( 1.96 x 7.5 0.5 , so n ≥ 864.36. Choice (D) rounds down, but because the sample size has to be greater than or equal to the expected value, this is not correct. The answer is (E). 0.5 1.96
Transcribed Image Text:6. E The margin of error is calculated using the formula ME = Za X √n The farmer is looking for an ME of 0.5 g and the standard deviation is 7.5 g. Z0.05 1.96. Substituting into the formula gets us: 96 (7/5), so n ≥ ( 1.96 x 7.5 0.5 , so n ≥ 864.36. Choice (D) rounds down, but because the sample size has to be greater than or equal to the expected value, this is not correct. The answer is (E). 0.5 1.96
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