Answered: 1: 7.8 6.1 6.7 8.5 9.0 10.0 9.5 2: 5.6…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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Question

Although tea is the world's most widely consumed beverage after water, little is known about its nutritional value. Folacin is the only B vitamin present in any significant amount in tea, and recent
advances in assay methods have made accurate determination of folacin content feasible. Consider the accompanying data on folacin content for randomly selected specimens of the four leading brands
of green tea.
1:
2: 5.6 7.4 9.7 6.0 8.3
3: 6.7 7.4 5. 7.3 5.4 6.2
4: 6.3 7.2 7.8 4.4 4.9 3.9
7.8 6.1 6.7 8.5 9.0 10.0 9.5
USE SALT
Does this data suggest that true average folacin content is the same for all brands?
(a) Carry out a test using a = 0.05. State the appropriate hypotheses.
о но на = H2=H3=на
H₂: all four μ's are unequal
ної ні #Mz #μз + H4
H₂: all four μ's are equal
о но ну=H2=μз =На
H: at least two μ's are unequal
ної Ні #Hz #μз #На
Ha: at least two μ's are equal
Find the value of the test statistic in this test. (Round your answer to two decimal places.)
f =
What can be said about the P-value?
OP-value> 0.100
O 0.050 < P-value < 0.100
0.010 < P-value < 0.050
0.001 < P-value < 0.010

Transcribed Image Text:State the conclusion in the problem context. O Fail to reject Ho. There is sufficient evidence that at least two of the tea blends have different folacin content. Reject Ho. There is sufficient evidence that at least two of the tea blends have different folacin content. Reject Ho. There is not sufficient evidence that at least two of the tea blends have different folacin content. Fail to reject Ho. There is not sufficient evidence that at least two of the tea blends have different folacin content. (b) Assess the plausibility of any assumptions required for your analysis in part (a). (Select all that apply.) The normal probability plot is linear, so the normality assumption is plausible. The normal probability plot is S-shaped, so the normality assumption is not plausible. The equal variance assumption is plausible because the largest standard deviation is less than twice the smallest standard deviation. The equal variance assumption is not plausible because the largest standard deviation is more than twice the smallest standard deviation. (c) Perform a multiple comparisons analysis to identify significant differences among brands. (Round your answers to two decimal places.) W12 = W13 = W14 = W23 = W24= W34 = Which pairs are significantly different? (Select all that apply.) brand 1 and brand 2 brand 1 and brand 3 brand 1 and brand 4 brand 2 and brand 3 brand 2 and brand 4 brand 3 and brand 4 There are no significant differences.

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