Use the following information for questions:
A safety officer wants to prove that $\mu$ = the average speed of cars driven by a school is less than 25 mph. Suppose that a random sample of 14 cars shows an average speed of 24.0 mph, with a sample standard deviation of 2.2 mph. Assume that the speeds of cars are normally distributed.
-For a significance level of $\alpha$ = 0.05, are the results statistically significant?

Question

Use the following information for questions: A safety officer wants to prove that $\mu$ = the average speed of cars driven by a school is less than 25 mph. Suppose that a random sample of 14 cars shows an average speed of 24.0 mph, with a sample standard deviation of 2.2 mph. Assume that the speeds of cars are normally distributed. -For a significance level of $\alpha$ = 0.05, are the results statistically significant? A) No, the results are not statistically significant because the p-value < 0.05. B) Yes, the results are statistically significant because the p-value < 0.05. C) No, the results are not statistically significant because the p-value > 0.05 D) Yes, the results are statistically significant because the p-value > 0.05.

Quizplus · Accepted Answer

To determine if the results are statistically significant, we calculate the test statistic and compare the p-value to the significance level ($\alpha$ = 0.05). The null hypothesis ($H_0$) is that the average speed of cars driven by a school is 25 mph or more, and the alternative hypothesis ($H_1$) is that it is less than 25 mph. Without the exact p-value calculation provided, we infer from the question's context that if the statement indicates the results are not statistically significant because the p-value > 0.05, it means we fail to reject the null hypothesis, suggesting the sample data does not provide strong enough evidence to conclude that the average speed is less than 25 mph.

Use the Following Information for Questions: a Safety Officer μ\muμ

Use the Following Information for Questions:
a Safety Officer $\mu$