hree different brands of tires were compared for wear characteristics. For each brand of tire, ten tires were randomly selected and subjected to standard wear testing procedures. The average mileage obtained for each brand of tire and sample standard deviations( both in 1000 miles) are shown below.                                                             Brand A   Brand B    Brand C

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Three different brands of tires were compared for wear characteristics. For each brand of tire, ten tires were randomly selected and subjected to standard wear testing procedures. The average mileage obtained for each brand of tire and sample standard deviations( both in 1000 miles) are shown below.

 

                                                          Brand A   Brand B    Brand C

 

Sample size                                    10              10                10

Average mileage (X mean)          37              38                33

Sample ST. Deviation (s)             3                 4                   2

 

  1. State the null and alternative hypotheses to see if the mean mileage for all three brands of tires is the same.
  2. Find the overall sample mean(x), overall sample size(nt), and the number of treatments (k).
  3. Compute the sum of squares between treatments (SSTR) and then sum of squares due to error(SSE).
  4. Carry the analysis of variance procedure for a completely randomized design by completing an ANOVA table.
  5. Compute the p-value. At the 1% level of significance , can you reject the null hypotheses in part (a)? Explain. What conclusion can you draw in this context?
  6. Use Fisher’s LSD procedure to determine which mean(if any) is different from the others. Use Level of significance=0.05.
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