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 table.) RREO Rrer Tracer inces 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. No! Razor HO! Razor NO! Maror Blazer - Blazer l arer Tracer A Not all population means are equal. Tracer NA! Not all population means are equal. Tracer. Not all population means are equal.

Answer 1

a) We have the right answer in the form of option 1

Ho: $\mu$ Razor = $\mu$ Blazer = $\mu$ Tracer (ie., all the treatment levels are homogeneous and do not impact the response variable)

vs

H1: Not all population means are equal. (at least one treatment level is different from others)

b)

i) The ANOVA table has been attached below:

Anova: Single Factor Count SUMMARY Groups RAZOR BLAZER TRACER Sum Average Variance 84 10.5 2.2857143 78 9.75 1.6428571 69 8.625 0.8392857 8 8 df F ANOVA 1 Source of Variation 2 Between Groups 3 Within Groups (Error) SS 14.25 33.38 MS 7.1250 1.5893 4.483 P-value 0.0239 F crit 3.4668 2 21 5 Total 47.625 23 JUS

we can see the p value is 0.0239

ii) Level of Significance = 0.05

As p value < LOS, we do not accept the null hypothesis, and conclude that the mean buggies/ hour differ for three production lines.

iii) Level of Significance = 0.1

As p value < LOS, we do not accept the null hypothesis, and conclude that the mean buggies/ hour differ for three production lines.