Twelve different video games showing violence were observed. The duration times of violence were recorded, with the times (seconds) listed below. What requirements must be satisfied to test the claim that the sample is from a population with a mean greater than 90 sec? Are the requirements all satisfied?

Question

Mathematics

Jovanny Atkinson

5 January, 22:30

Twelve different video games showing violence were observed. The duration times of violence were recorded, with the times (seconds) listed below. What requirements must be satisfied to test the claim that the sample is from a population with a mean greater than 90 sec? Are the requirements all satisfied?

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Blake Small · Answer 1

The requirements that must be satisfied are:

- The sample should be reasonably random.

- The sample size should not be higher than 10% of the population.

- The data should not have outliers or excessive skewness.

- The data should be normal or with a sample large enough (usually n>30).

There is no enough information to know if the requirements are satisfied.

Step-by-step explanation:

Ths test hypothesis would be a t-test.

The requirements that must be satisfied are:

- The sample should be reasonably random.

- The sample size should not be higher than 10% of the population.

- The data should not have outliers or excessive skewness.

- The data should be normal or with a sample large enough (usually n>30).

Some conditions are not met, as the sample size (n=12) which is not big enough.

We don't know also if the sample was taken randomly. The size of the sample respect to the population is also unknown.

In conclusion, we can not tell if the requirements are satisfied.