Answered: Razor Blazer Tracer 12 11 10 9. 11 10 9. 8 10 11 10 11 13 11 9. ANOVA Source of Variation Between Groups Within Groups df MS p-value Total

Name: Wenton Powersports produces dune buggies. They have three assembly lin
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Description: Wenton Powersports produces dune buggies. They have three assembly lines, “Razor,” “Blazer,” and “Tracer,” named after the particular dune buggy models produced on those lines. Each assembly line was originally designed using the same target producti

MATLAB: An Introduction with Applications

6th Edition

ISBN: 9781119256830

Author: Amos Gilat

Publisher: John Wiley & Sons Inc

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Question

Wenton Powersports produces dune buggies. They have three assembly lines, “Razor,” “Blazer,” and “Tracer,” named after the particular dune buggy models produced on those lines. Each assembly line was originally designed using the same target production rate. However, over the years, various changes have been made to the lines. Accordingly, management wishes to determine whether the assembly lines are still operating at the same average hourly production rate. Production data (in dune buggies/hour) for the last eight hours are as follows. (You may find it useful to reference the F table.)

(Inserted image is the table)

a. Specify the competing hypotheses to test whether there are some differences in the mean production rates across the three assembly lines.

(which one is correct)

H₀: μ_Razor = μ_Blazer = μ_Tracer. H_A: Not all population means are equal.
H₀: μ_Razor ≤ μ_Blazer ≤ μ_Tracer. H_A: Not all population means are equal.
H₀: μ_Razor ≥ μ_Blazer ≥ μ_Tracer. H_A: Not all population means are equal.

b-1. Construct an ANOVA table. Assume production rates are normally distributed. (Round intermediate calculations to at least 4 decimal places. Round "SS" to 2 decimal places, "MS", "p-value" to 4 decimal places, and "F" to 3 decimal places.)

(Second photo is the ANOVA table to be filled out)

Razor Blazer Tracer
12
11
10
9.
11
10
9.
8
10
11
10
11
13
11
9.

ANOVA
Source of Variation
Between Groups
Within Groups
df
MS
p-value
Total

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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