Question: 5. A study was conducted to determine whether the mean braking distance of four-cylinder cars is greater than the mean braking distance of six-cylinder cars.

5. A study was conducted to determine whether the mean braking distance of four-cylinder cars is greater than the mean braking distance of six-cylinder cars. A random sample of 20 four-cylinder cars and a random sample of 20 six-cylinder cars were obtained, and the braking distances were measured.

(a) What would be the appropriate hypothesis test for this analysis?

(i) t-test for two independent samples

(ii) t-test for dependent samples

(iii) z-test for population mean

(iv) correlation

(b) Explain the rationale for your selection in (a). Specifically, why would this be the appropriate statistical approach?

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