Question

In order for an airline to cancel a flight, there needs to be over 6 inches of snow on the ground. Suppose we want to do a test to prove there is over 6 inches of snow on the ground. (Hint: in order to answer this question you should first write out the null and alternative hypotheses)

Answer 1

Explanation:

From the given question.

We can write the null hypothesis & the alternative hypothesis as:

Null hypothesis:

`\mathbf{H_o: \mu \leq 6}`

Alternative hypothesis:

`\mathbf{H_(a):\mu >6}`

From above, let's think about the type I error we could make and the type II error we could make.

Type I error:

The type I error at the null hypothesis showcases that the snow level is at 6 inches or below 6 inches, but we falsely concluded that the snow level is high above sea level.

Type II error:

Here, the snow level is literally above 6 inches, hence, we failed to conclude that the snow level is above 6 inches.

Thus, the consequences of the above analysis showcase that type II error has higher severe consequences because it may result in a situation that may endanger the passengers' safety.