Question

The speed limit posted on a local highway is 75 mph. Is the average speed on that stretch of highway significantly more than 75mph? Forty vehicle’s speeds were recorded by speed detection devices. What would be the correct alternative hypothesis?

Answer 1

Answer: $H_a: \mu >75$

Step-by-step explanation:

Alternative hypothesis $(H_a)$: It is a statement which always indicates that there is a significant difference between the groups being tested.

It always contains by < , > or ≠ sign .

Given claim  : Is the average speed on that stretch of highway significantly more than 75mph?

Here objective is whether  the average speed on that stretch of highway significantly more than 75mph.

Let $\mu$ be the population mean speed on that stretch of highway significantly more than 75mph.

Then, $H_a: \mu >75$

Hence , the correct alternative hypothesis would be :  $H_a: \mu >75$