Answered: To test whether the mean time needed to…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 11PPS

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To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, a chemical company obtained the following data on the time (in minutes) needed to mix the material.

Manufacturer
1	2	3
21	28	21
26	25	18
23	30	23
18	33	22

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

p-value =

(b)

At the ? = 0.05 level of significance, use Fisher's LSD procedure to test for the equality of the means for manufacturers 1 and 3.

Find the value of LSD. (Round your answer to two decimal places.)

LSD =

Find the pairwise absolute difference between sample means for manufacturers 1 and 3.

x₁ − x₃ =

(2)

Manufacturer
1	2	3
21	27	19
27	25	20
23	32	23
21	28	22

Use Fisher's LSD procedure to develop a 95% confidence interval estimate (in minutes) of the difference between the means for manufacturer 1 and manufacturer 2. (Round your answers to two decimal places.)

min to min

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