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Harlamova29_29 [7]
3 years ago
13

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)
Mathematics
1 answer:
Lunna [17]3 years ago
5 0

Answer:

Step-by-step 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.

<u>Type I error:</u>

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.

<u>Type II error:</u>

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.

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The result seem to be inconclusive since the probability of getting those result by chance are somewhat very high.

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