Douglas is a farmer who believes that his cow produces an average of 7 gallons of milk per day. To test this, he randomly selects 31 days and records the number of gallons the cow produces on each of those days. The sample mean is 6.9 gallons with a sample standard deviation of 0.3 gallon. If the test statistic t=−1.86 and the alternative hypothesis is Ha:μ≠7, find the p-value range for the appropriate hypothesis test.Probability0.100.050.0250.010.005Degrees of Freedom 301.3101.6972.0422.4572.750311.3091.6962.0402.4532.744321.3091.6942.0372.4492.738331.3081.6922.0352.4452.733341.3071.6912.0322.4412.728351.3061.6902.0302.4382.724361.3061.6882.0282.4342.719371.3051.6872.0262.4312.715381.3041.6862.0242.4292.712391.3041.6852.0232.4262.708 Select the correct answer below: A) p-value >0.20B) 0.10< p-value <0.20C) 0.05< p-value <0.10D) 0.02< p-value <0.05

The aim is to find the range of p-value.

Answered: Douglas is a farmer who believes that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Douglas is a farmer who believes that his cow produces an average of 7 gallons of milk per day. To test this, he randomly selects 31 days and records the number of gallons the cow produces on each of those days. The sample mean is 6.9 gallons with a sample standard deviation of 0.3 gallon. If the test statistic t=−1.86 and the alternative hypothesis is Ha:μ≠7, find the p-value range for the appropriate hypothesis test.

Probability	0.10	0.05	0.025	0.01	0.005
Degrees of Freedom
30	1.310	1.697	2.042	2.457	2.750
31	1.309	1.696	2.040	2.453	2.744
32	1.309	1.694	2.037	2.449	2.738
33	1.308	1.692	2.035	2.445	2.733
34	1.307	1.691	2.032	2.441	2.728
35	1.306	1.690	2.030	2.438	2.724
36	1.306	1.688	2.028	2.434	2.719
37	1.305	1.687	2.026	2.431	2.715
38	1.304	1.686	2.024	2.429	2.712
39	1.304	1.685	2.023	2.426	2.708

Select the correct answer below:

A) p-value >0.20

B) 0.10< p-value <0.20

C) 0.05< p-value <0.10

D) 0.02< p-value <0.05

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