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Statistics / Elementary Statistics: A Step by Step Approach 8th ed. 8 / Chapter 8-2 / Problem 6

Elementary Statistics: A Step by Step Approach 8th ed. | 8th Edition | ISBN: 9780073386102 | Authors: Allan G Bluman Professor Emeritus

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QUESTION:

Peanut Production inVirginia The average production of peanuts inVirginia is 3000 pounds per acre.Anew plant food has been developed and is tested on 60 individual plots of land. The mean yield with the new plant food is 3120 pounds of peanuts per acre, and the population standard deviation is 578 pounds. At a_0.05, can you conclude that the average production has increased? Source: The Old Farmers Almanac.

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QUESTION:

Peanut Production inVirginia The average production of peanuts inVirginia is 3000 pounds per acre.Anew plant food has been developed and is tested on 60 individual plots of land. The mean yield with the new plant food is 3120 pounds of peanuts per acre, and the population standard deviation is 578 pounds. At a_0.05, can you conclude that the average production has increased? Source: The Old Farmers Almanac.

ANSWER:

Step 1 of 4

Let be the given sample's size, its mean pounds and its standard deviation 578 pounds. Furthermore, let be the given significance level. We want to test the following hypothesis:

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