Thirty mechanics in an automotive shop are randomly selected to participate in a study comparing two oil changing techniques. They are randomly assigned one of the two techniques. The manager trains 15 mechanics on one technique and trains the other 15 mechanics on the second technique. He then records the number of oil changes each mechanic does in one week. Which inferential statistical test would be most appropriate for this scenario? A. A one-sample z-test B. A two-sample t-test C. A paired t-test D. A chi-square goodness-of-fit test E. A one-sample t-test

Question

Mathematics

Manuel Graves

22 September, 01:23

Thirty mechanics in an automotive shop are randomly selected to participate in a study comparing two oil changing techniques. They are randomly assigned one of the two techniques. The manager trains 15 mechanics on one technique and trains the other 15 mechanics on the second technique. He then records the number of oil changes each mechanic does in one week. Which inferential statistical test would be most appropriate for this scenario? A. A one-sample z-test B. A two-sample t-test C. A paired t-test D. A chi-square goodness-of-fit test E. A one-sample t-test

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Gauge Middleton · Answer 1

B. A two-sample t-test

Step-by-step explanation:

A two-sample t-test is used to test the difference between two population means. It is commonly to determine whether the means are equal. The two-sample t-test can be used when the population variances are equal or unequal, and with large or small samples.