Analysis of Variance (One Way ANOVA)

Question 1

A consumer group is testing the gas mileage of three different models of cars. Several cars were driven 1000 miles and the gas mileage was recorded in the following table.

Model X	Model Y	Model Z
22	40	15
31	35	18
19	47	14
27	41	11
25	39	21
18	33	19

Required:

Completely analyze these data using one way ANOVA.Test at the 0.05 significance level, complete an ANOVA table and determine whether the company can conclude there is a difference in the mean number of mileage among the three models.[ 20 Marks]

Question 2.

Researchers have obtained and tested samples of three different brands of nylon rope that are advertised as having a breaking strength of 40 lbs.

	Brand A	Brand B	Brand C
	39	35	46
	26	20	42
	33	34	19
	23	39	25
	27	45	36
Total	148	173	168

Given the above data from the three independent samples use the 0.025 level of significance to determine whether the population mean could be the same.[20 marks]

[Total 40 marks]