Item 7

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.)

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

Click here for the Excel Data File

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

multiple choice

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.)

ANOVA
Source of Variation
Between Groups
Within Groups
Total
SS
14.25
HO, we
14.25
df
0
MS
b-2. At the 5% significance level, what is the conclusion to the test?
F
p-value
conclude that the mean buggies/hour differ for some production lines.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution