Refer to QUESTION 1. Suppose that the experiment was conducted using method C, with 8 Mazda 323's and 8 BMW's, and the data in the table below was obtained. | | Car | | True mean | | :--- | :--- | :--- | :--- | | Brand of petrol | BMW | 323 | | | I | 32,40,42,26 | 35,29,45,22 | ?1. | | II | 30,39,42,23 | 36,27,41,21 | ?2. | | True mean | ?.1 | ?.2 | ? | (a) Construct an ANOVA table of the data. Show all your calculations. (14) (b) Is there evidence that the mean distance traveled using brand I petrol is significantly different from that using brand II petrol? Use the 0.05 level of significance. (6)
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For between brands, we calculate the mean for each brand and subtract the overall mean, square the result, and multiply by the number of observations for that brand. For between cars, we calculate the mean for each car and subtract the overall mean, square the Show more…
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Good day Please assist with the following
Shu N.
Four brands of petrol (A, B, C, D) were tested for fuel efficiency using a 4×4 SLSD experiment in order to control for the variability of the driving habits of four different drivers (1, 2, 3, 4) and four types of cars (I, II, III, IV). Fuel efficiency was measured in km per litre traveled over the same standard course. The data obtained are in the round brackets in the table below. Type of car Driver | I | II | III | IV 1 | D (6.59) | B (14.41) | C (5.61) | A (12.37) 2 | B (6.93) | C (11.31) | A (8.25) | D (9.69) 3 | C (4.38) | A (13.22) | D (7.27) | B (12.88) 4 | A (6.25) | D (14.46) | B (8.38) | C (9.18) (a) State the hypotheses to be tested in terms of the means of the petrol brands. (b) Construct an ANOVA table of the responses. Show all your calculations. (c) Was blocking effective? Explain your answer. Use the 0.05 level of significance. (d) Test the hypotheses in part (a) at the 0.05 level of significance. (e) Is it necessary to perform pairwise comparisons of petrol brand means? Justify your answer.
Adi S.
Good day Guys, Please assist with question without using a statistical package :)
Kirsty G.
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