Wenton Powersports produces dune buggies. They have three assembly lines, “Razor
ID: 3071599 • Letter: W
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.
Construct an ANOVA table. Assume production rates are normally distributed. (Round SS, MS, and F to 2 decimal places and p-value to 4 decimal places.)
Specify the competing hypotheses to test whether there are some differences in the mean production rates across the three assembly lines.
(Click to select)RejectDo not reject H0, we (Click to select)cancannot conclude that the mean buggies/hour differs for some production lines.
(Click to select)Reject H0Do not reject H0 H0, we (Click to select)cannotcan conclude that the mean buggies/hour differs for some production lines.
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.
Explanation / Answer
Answer:
a.
Construct an ANOVA table. Assume production rates are normally distributed. (Round SS, MS, and F to 2 decimal places and p-value to 4 decimal places.)
ANOVA
Source of Variation
SS
df
MS
F
P-value
Between Groups
9.75
2
4.88
2.82
0.0820
Within Groups
36.25
21
1.73
Total
46.00
23
b.
Specify the competing hypotheses to test whether there are some differences in the mean production rates across the three assembly lines.
H0: Razor = Blazer = Tracer. HA: Not all population means are equal.
c-1.
At the 5% significance level, what is the conclusion of the test?
(Click to select)Do not Reject H0, we (Click to select)cannot conclude that the mean buggies/hour differs for some production lines.
(p value 0.082 is > 0.05 level of significance)
c-2.
What about the 10% significance level?
(Click to select)Reject H0, we (Click to select)can conclude that the mean buggies/hour differs for some production lines.
(p value 0.082 is < 0.10 level of significance)
Excel Addon Phstat used.
Multiple sample tests-----Oneway ANOVA
ANOVA: Single Factor
SUMMARY
Groups
Count
Sum
Average
Variance
Razor
8
81
10.125
2.4107
Blazer
8
78
9.75
1.6429
Tracer
8
69
8.625
1.1250
ANOVA
Source of Variation
SS
df
MS
F
P-value
F crit
Between Groups
9.7500
2
4.8750
2.8241
0.0820
3.4668
Within Groups
36.2500
21
1.7262
Total
46.0000
23
Level of significance
0.05
a.
Construct an ANOVA table. Assume production rates are normally distributed. (Round SS, MS, and F to 2 decimal places and p-value to 4 decimal places.)
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