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In: Statistics and Probability

Wenton Powersports produces dune buggies. They have three assembly lines, “Razor,” “Blazer,” and “Tracer,” named after...

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.

Razor Blazer Tracer
11 10 9
10 8 7
8 11 9
10 9 9
9 11 8
9 10 7
13 11 8
11 8 9

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

H0: μRazor = μBlazer = μTracer. HA: Not all population means are equal.
H0: μRazor ≤ μBlazer ≤ μTracer. HA: Not all population means are equal.
H0: μRazor ≥ μBlazer ≥ μTracer. HA: 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.)

ANOVA
Source of Variation SS df MS F p-value
Between Groups
Within Groups
Total 0.00 0

b-2. At the 5% significance level, what is the conclusion to the test?

b-3. What about the 10% significance level?

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Expert Solution

orchestra answered 1 year ago
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