(a) State the type of data collection involved in the given case study. Justify your answer. (b) Construct 90% confidence interval for the different mean between previous and new engine version. (c) Suppose the sampling for both engine versions were reduced to 15. Test the engineer claim at 0.05 significance level.

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Chapter1: Combinatorial Analysis
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Q3 An automobile engineer claim that his team has successfully designed a new
engine that saves more car fuel than the previous designs. He wishes to prove that
by conducting on road experiment to compare both designs. A sample of 40 cars
of previous and new engines version were involved in the experiment. The data
of fuel consumption (liter/100km) were recorded in Table Q3.
Table Q3 Data of fuel consumption (liter/100km)
Mean
Variance
Previous version
New version
5.9
0.017
5.4
0.022
(a) State the type of data collection involved in the given case study. Justify your
answer.
(b) Construct 90% confidence interval for the different mean between
previous and new engine version.
(c) Suppose the sampling for both engine versions were reduced to 15. Test
the engineer claim at 0.05 significance level.
Transcribed Image Text:Q3 An automobile engineer claim that his team has successfully designed a new engine that saves more car fuel than the previous designs. He wishes to prove that by conducting on road experiment to compare both designs. A sample of 40 cars of previous and new engines version were involved in the experiment. The data of fuel consumption (liter/100km) were recorded in Table Q3. Table Q3 Data of fuel consumption (liter/100km) Mean Variance Previous version New version 5.9 0.017 5.4 0.022 (a) State the type of data collection involved in the given case study. Justify your answer. (b) Construct 90% confidence interval for the different mean between previous and new engine version. (c) Suppose the sampling for both engine versions were reduced to 15. Test the engineer claim at 0.05 significance level.
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