Explanation The null and alternative hypotheses are as follows: Null hypothesis: There is no significant difference in mean dissolved oxygen content for the four locations. Alternative hypothesis: There is a significant difference in mean dissolved oxygen content for the four locations. The sample means are as follows: Y ¯ 1. = ∑ j = 1 n 1 y 1 j n 1 = 5.9 + 6.1 + 6.3 + 6.1 + 6 5 = 30.4 5 = 6.08 Y ¯ 2. = ∑ j = 1 n 2 y 2 j n 2 = 6.3 + 6.6 + 6.4 + 6.4 + 6.5 5 = 32.2 5 = 6.44 Y ¯ 3. = ∑ j = 1 n 3 y 3 j n 3 = 4.8 + 4.3 + 5 + 4.7 + 5.1 5 = 23.9 5 = 4.78 Y ¯ 4. = ∑ j = 1 n 4 y 4 j n 4 = 6 + 6.2 + 6.1 + 5.8 4 = 24.1 4 = 6.025 y ¯ = ∑ i = 1 3 ∑ j = 1 n i y i j n = 110.6 19 = 5.821053 Total sum of square is calculated as follows: SSE = ∑ i = 1 4 ∑ j = 1 5 ( Y i j − Y ¯ i . ) 2 = [ ( 5.9 − 6.08 ) 2 + ( 6.1 − 6.08 ) 2 + ( 6.3 − 6.08 ) 2 + ( 6.1 − 6.08 ) 2 + ( 6 − 6.08 ) 2 ( 6

Mathematical Statistics with Applications

7th Edition

ISBN: 9780495110811

Author: Dennis Wackerly, William Mendenhall, Richard L. Scheaffer

Publisher: Cengage Learning

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Question

Chapter 13.4, Problem 15E

To determine

Check whether there is sufficient evidence to indicate that there is a difference in mean dissolved oxygen content for the four locations.

Identify the bounds for the significance level.

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Chapter 13 Solutions

Mathematical Statistics with Applications

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Knowledge Booster

Check whether there is sufficient evidence to indicate that there is a difference in mean dissolved oxygen content for the four locations. Identify the bounds for the significance level.

Solution Summary: The author explains that there is sufficient evidence to indicate a difference in mean dissolved oxygen content for the four locations.

Check whether there is sufficient evidence to indicate that there is a difference in mean dissolved oxygen content for the four locations. Identify the bounds for the significance level.

Chapter 13 Solutions

Check whether there is sufficient evidence to indicate that there is a difference in mean dissolved oxygen content for the four locations.

Identify the bounds for the significance level.