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.
-What are the appropriate null and alternative hypotheses?

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. -What are the appropriate null and alternative hypotheses? A) H₀: $\mu$= 25 and H_a: $\mu$ < 25 B) H₀: $\mu$ = 25 and H_a: $\mu$ >25. C) H₀: $\mu$ = 25 and H_a: $\mu$ $\neq$ 25. D) H₀: $\mu$ $\neq$25 and H_a: $\mu$ = 25.

Quizplus · Accepted Answer

The null hypothesis (H0) is typically a statement of no effect or no difference, which in this case is $\mu = 25$, indicating the average speed is 25 mph. The alternative hypothesis (Ha) is what the safety officer wants to prove, which is $\mu < 25$, indicating 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 $\mu$