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 dependent samples (ii) t-test for two independent samples (iii) z-test for two population means (iv) correlation (b) Explain the rationale for your selection in (a). Specifically, why would this be the appropriate statistical approach?

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