A farmer has 200 chickens in her coop. Currently, her coop produces 30 eggs per day on average. One day she was visited by a friend suggesting a new vitamin that they claim can increase the egg production After a few months giving this vitamin to the chickens, the farmer obtains the data that the coop produces on average 40 eggs per day with standard deviation of 10 eggs. Flag question a) Suppose that the farmer simply wants to see if the vitamin has any effect at all. Determine the null and alternative hypothesis she should design b) What conclusion can she draw using the hypothesis in (a) and the data available? c) Suppose that the farmer simply wants to see if the vitamin does increase the number of eggs produced. Determine the null and alternative hypothesis she should design d) What conclusion can she draw using the hypothesis in (c) and the data available? e) Suppose that the farmer simply wants to see if the vitamin actually decreases the number of eggs produced. Determine the null and alternative hypothesis she should design f) What conclusion can she draw using the hypothesis in (e) and the data available? g) If the farmer only has 15 chickens in her coop, with the same data, would she have drawn the same conclusion? Explain.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A farmer has 200 chickens in her coop. Currently, her coop produces 30 eggs per day on average. One day she was visited by a friend suggesting a new vitamin that they claim can increase the egg production After a few months giving this vitamin to the chickens, the farmer obtains the data that the coop produces on average 40 eggs per day with standard deviation of 10 eggs. Flag question a) Suppose that the farmer simply wants to see if the vitamin has any effect at all. Determine the null and alternative hypothesis she should design b) What conclusion can she draw using the hypothesis in (a) and the data available? c) Suppose that the farmer simply wants to see if the vitamin does increase the number of eggs produced. Determine the null and alternative hypothesis she should design d) What conclusion can she draw using the hypothesis in (c) and the data available? e) Suppose that the farmer simply wants to see if the vitamin actually decreases the number of eggs produced. Determine the null and alternative hypothesis she should design f) What conclusion can she draw using the hypothesis in (e) and the data available? g) If the farmer only has 15 chickens in her coop, with the same data, would she have drawn the same conclusion? Explain.
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