Consider that an insurance actuary claims that the average footwell intrusions for small and medium cars is the same. Impact tests of 40 miles per hour were performed on 12 randomly selected small cars and 17 randomly selected medium cars. The average amount that the footwell bursts into the driver's legs has been measured. The average footwell intrusion in small cars was 10.1 cm with a standard deviation of 4.11 cm. For medium cars it was 8.3 cm with a standard deviation of 4.02 cm. Consider α = 0.10, and assume that the population variances are equal. Regarding the data presented, what decision making should be taken about the null hypothesis:   We should: a) Reject the null hypothesis. b) Fail to Reject the Null Hypothesis.

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Consider that an insurance actuary claims that the average footwell intrusions for small and medium cars is the same. Impact tests of 40 miles per hour were performed on 12 randomly selected small cars and 17 randomly selected medium cars. The average amount that the footwell bursts into the driver's legs has been measured. The average footwell intrusion in small cars was 10.1 cm with a standard deviation of 4.11 cm. For medium cars it was 8.3 cm with a standard deviation of 4.02 cm. Consider α = 0.10, and assume that the population variances are equal. Regarding the data presented, what decision making should be taken about the null hypothesis:

 

We should:

a) Reject the null hypothesis.

b) Fail to Reject the Null Hypothesis.

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