A manufacturing plant is supposed to be able to produce $55$ shirts every hour. When the machines malfunction, they sometimes begin going too fast and then irregularities occur. Other times they malfunction by moving too slowly, also causing irregularities to the shirts. The machines' peak performance is maintained by keeping production as close to $55$ shirts per hour as possible.

$($a$)$

State the alternative hypothesis if we are testing whether the machines are causing irregularities.

Ha: $>55$

Ha: $<55$

Ha: $!=55$

Ha: $=55$

$($b$)$

In context of the question, what is a Type I error?

We conclude that the machines are producing $55$ shirts per hour on average, when they really are running too slow.

We conclude that the machines are producing $55$ shirts per hour on average, when they really are running too fast.

We conclude that the machines are running too fast or too slow, when they really are producing $55$ shirts per hour on average.

We conclude that the machines are running too fast, when they really are running too slow.

$($c$)$

What is the consequence of making a Type II error in the context of this situation?

We try to fix machines that are running too fast or too slow, and we get fewer irregular shirts.

We don't fix machines that are functioning correctly, and they continue producing good shirts.

We try to fix machines that are functioning correctly, and we lose production time.

We don't fix machines that are running too fast or too slow, and they continue producing irregular shirts.