Question

identify the correct null and alternative hypotheses.
a waste management service attempts to design routes so that each of their trucks pick - up on average four tons of garbage or less. a garbage collector believes, however, that he averages picking up more than four tons of garbage per day and decides to perform a hypothesis test.
$h_0:mu = 4$ vs. $h_a:mult4$
$h_0:mu = 4$ vs. $h_a:mugt4$
$h_0:mu = 4$ vs. $h_a:mu
eq4$

Explanation:

Step1: Understand null and alternative hypotheses

The null hypothesis \(H_0\) is a statement of no difference or no effect. The alternative hypothesis \(H_a\) is what we are trying to find evidence for. Here, the initial claim (the one we assume to be true for testing) is that the average is 4 tons (\(\mu = 4\)). The garbage collector believes he averages more than 4 tons, so the alternative hypothesis is \(\mu>4\).

Answer:

\(H_0:\mu = 4\) vs. \(H_a:\mu>4\)