Question

Suppose that the mean time for a certain car to go from 0 to 60 miles per hour was 7.7 seconds. Suppose that you want to test the claim that the average time to accelerate from 0 to 60 miles per hour is longer than 7.7 seconds. What would you use for the alternative hypothesis?

Answer 1

Alternative hypothesis Ha; is that the average time to accelerate from 0 to 60 miles per hour is greater than 7.7 seconds.

H0: u > 7.7

Explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

For the case above;

Let u represent the average time to accelerate from 0 to 60 miles per hour

Null hypothesis H0; is that the average time to accelerate from 0 to 60 miles per hour is equal to 7.7 seconds.

H0: u = 7.7

Alternative hypothesis Ha; is that the average time to accelerate from 0 to 60 miles per hour is greater than 7.7 seconds.

H0: u > 7.7