Math Problem Statement
Find the test statistic.
F Subscript STATequals=3.363.36
(Round to two decimal places as needed.)
Part 3
Determine the p-value.
p-valueequals=0.0120.012
(Round to three decimal places as needed.)
Part 4
Reach a decision.
Reject
H Subscript 0.
There is
sufficient
evidence at the
0.050.05
level of significance of a difference in the mean U.S. average sales per unit among the food segments.
Part 5
b. At the
0.050.05
level of significance, is there a difference in the variation in U.S. average sales per unit ($ thousands) among the food segments? Determine the hypotheses. Choose the correct answer below.
A.
H Subscript 0:
sigma Subscript 1 Superscript 2σ21equals=sigma Subscript 2 Superscript 2σ22equals=times•times•times•equals=sigma Subscript 48 Superscript 2σ248
H Subscript 1:
Not all
sigma Subscript j Superscript 2σ2j
are equal
(where
jequals=1,2,...,4848)
B.
H Subscript 0:
sigma Subscript 1 Superscript 2σ21equals=sigma Subscript 2 Superscript 2σ22equals=times•times•times•equals=sigma Subscript 6 Superscript 2σ26
H Subscript 1:
Not all
sigma Subscript j Superscript 2σ2j
are equal
(where
jequals=1,2,...,66)
Your answer is correct.
C.
H Subscript 0:
sigma Subscript 1 Superscript 2σ21equals=sigma Subscript 2 Superscript 2σ22equals=times•times•times•equals=sigma Subscript 6 Superscript 2σ26
H Subscript 1:
sigma Subscript 1 Superscript 2σ21not equals≠sigma Subscript 2 Superscript 2σ22not equals≠times•times•times•not equals≠sigma Subscript 6 Superscript 2σ26
D.
H Subscript 0:
sigma Subscript 1 Superscript 2σ21equals=sigma Subscript 2 Superscript 2σ22equals=times•times•times•equals=sigma Subscript 48 Superscript 2σ248
H Subscript 1:
sigma Subscript 1 Superscript 2σ21not equals≠sigma Subscript 2 Superscript 2σ22not equals≠times•times•times•not equals≠sigma Subscript 48 Superscript 2σ248
Part 6
Find the test statistic.
F Subscript STATequals=enter your response here
(Round to two decimal places as needed.)
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Hypothesis Testing
ANOVA
F-Test
p-value
Formulas
F_STAT = Largest variance / Smallest variance
p-value calculation based on F-distribution
Theorems
F-distribution
Hypothesis Testing in ANOVA
Suitable Grade Level
Grades 11-12, Undergraduate