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Statistics / Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card 8 / Chapter 6 / Problem 6.130

Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card | 8th Edition | ISBN: 9781464158933 | Authors: David S. Moore, George P. McCabe, Bruce A. Craig

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Cellulose content in alfalfa hay. An agronomist examines

Chapter , Problem 6.130

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QUESTION:

Cellulose content in alfalfa hay.

An agronomist examines the cellulose content of a variety of alfalfa hay. Suppose that the cellulose content in the population has standard deviation 𝜎 = 8 milligrams per gram (mg/g). A sample of 15 cuttings has mean cellulose content $\overline{x}=145$ mg/g.

(a) Give a 90% confidence interval for the mean cellulose content in the population.

(b) A previous study claimed that the mean cellulose content was 𝜇 = 140 mg/g, but the agronomist believes that the mean is higher than that figure. State H0 and Ha and carry out a significance test to see if the new data support this belief.

(c) The statistical procedures used in parts (a) and (b) are valid when several assumptions are met. What are these assumptions?

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QUESTION:

Cellulose content in alfalfa hay.

An agronomist examines the cellulose content of a variety of alfalfa hay. Suppose that the cellulose content in the population has standard deviation 𝜎 = 8 milligrams per gram (mg/g). A sample of 15 cuttings has mean cellulose content $\overline{x}=145$ mg/g.

(a) Give a 90% confidence interval for the mean cellulose content in the population.

(b) A previous study claimed that the mean cellulose content was 𝜇 = 140 mg/g, but the agronomist believes that the mean is higher than that figure. State H0 and Ha and carry out a significance test to see if the new data support this belief.

(c) The statistical procedures used in parts (a) and (b) are valid when several assumptions are met. What are these assumptions?

ANSWER:

Step 1 of 4

Given: The data is provided for the cellulose content of a variety of alfalfa hay.

The sample number of cuttings is .

The sample mean cellulose content is mg/g.

The population standard deviation is mg/g.

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