Question

Answer part b only, answer for part a given

Question 5 [4 marks] Finally, the researchers are interested to test whether average engine size varies with type of car Conduct an ANOVA analysis to assess what evidence there is that the average engine size of car models available in Australia in 1993 varies between different types of car You may use a computer to perform this test but please remember to interpret the p-value for this test in the context of the question. You should also show any relevant output from the computer to support your answer (a) (b) Comparison tests show that average engine sizes for Compact and "Sporty cars are similar, but that the average engine size of "Small cars is less than for both of these types. The researchers are therefore interested to estimate this difference in engine (that is, that variances of engine size are similar across types of car), use the relevant sample statistics and the information from your ANOVA analysis in part (a) to calculate a 95% confidence interval for the contrast size. Assuming + ?perty)/2-uraa. Interpret this interval ngineSize 31 Compact 2.3 18 32 Sporty 3.2 33 Sporty 2.8 34 Midsize 2.8 35 Large .5 36 Small 2 37 Sporty 3.8 38 Sporty 7 39 Small 840 Compact 49 41 Small 6 42 Small 22 43 Sporty 2.2 44 Midsize 4 45 Midsize 2.2 46 Midsize 3 Midsize 4 Compact 5 Midsize 61 Compact 16 62 Midsize 7 Midsize 8 Large 9 Large 10 Midsize 11 Large 12 Midsize 13 Compact 14 Compact 15 Sporty 63 Compact 15 64 Midsire 22 6 Large 66 Sporty 18 67 Small 68 Compact 69 Sporty 4520 Midsize 71 Large 72 Compact 73 Small 17 Large 18 Sporty 19 Large 20 Compact 21 Large 22 Smal 23 Small 24 Compact 25 Midsize 26 Sporty 27 Small 28 Large 29 Small 0 Small 5 47 Midsize 5.7 48 Midsize 12 .3 49 Large 46 4 Small 75 Small 76 Compact 350 Small .3 51 Small 5 52 Compact 22 53 Sporty 25 54 Compact 2.5 55 Midsize 2.2 57Small 78 Small 3 56 Sporty 1.5 57 Midsize .5 58 Small 1.3 59 Midsize 18 60 Small 23 Sporty 2 80 Midsize 6 81 Smal 8 8 Compact 1.5 83 Sporty 4 Compact 68 Midsize

Answer 1

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