Maislin Manufacturing makes engine mounts for Toro Lawnmowers. The industrial en

Question

Maislin Manufacturing makes engine mounts for Toro Lawnmowers. The industrial engineers developed two procedures for mounting the engines to the frames. A sample of 5 employees was timed using procedure 1 and 6 using procedure 2.

a.Using the results below, at = 0.05, is there any difference in the two methods?

b.Why do you have to pool the variances?

c.One of the engineers thinks method 2 is definitely better than method 1 (he helped develop method 2) and runs a one tail test against method1; what critical t should he test against?

d.You don’t believe the variances are equal. What method would you use?

Proc 1 Proc 2 4 Mean Variance Observations Pooled Variance Hypothesized Mean Dif df t Stat P(T=t) one-tail t Critical one-tail P(T=t) two-tail t Critical two-tail 5 4.4 6 8.5 6.222222222 0 9 0,662051122 0.262263176 1.833112923 0.524526351 2.262157158

Explanation / Answer

A) Since the p value for both one tail and two tail is bigger than 5%(0.05). Thus we fail to reject the null hypothesis i.e there is no difference between the methods.

B) Since there is 2 different population and the mean of each popualtion will be different but the variance will be the same. Thus Pooled variance is used.

C) T Critical two tail should be tested again

D) Analysis of variance(ANOVA)

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