Wenton Power sports 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..................9
8...................11...............10
10..................9..................9
9...................11.................8
9...................10.................7
13..................11.................8
11...................8.................9
x1 = 10.1...x2 = 9.8.........x3 = 8.6
s12 = 2.4...s22 = 1.6........s32 = 0.8
...............x = 9.5..................
a. Construct an ANOVA table. Assume production rates are normally distributed.
b. Specify the competing hypotheses to test whether there are some differences in the mean production rates across the three assembly lines.
c. At the 5% significance level, what is the conclusion of the test? What about the 10% significance level?