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 totest the claim that the sample is from a population with a mean greater than 80 sec? Are the requirements all satisfied?8913615 4758209 45171252A. The sample observations must be a simple random sample.B. Either the population is normally distributed, or n> 30, or both.C. At least one observation must be above or below 80 sec.D. The conditions for a binomial distribution must be satisfied.O O O

Answered: Twelve different video games showing…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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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 80 sec? Are the requirements all satisfied?
89
13
615 47
58
209 45
171
2
52
A. The sample observations must be a simple random sample.
B. Either the population is normally distributed, or n> 30, or both.
C. At least one observation must be above or below 80 sec.
D. The conditions for a binomial distribution must be satisfied.
O O O

Expert Solution

Step 1

Let's assume, we have the required data for Twelve different video games showing violence and we want to test a specific claim ( in this case a hypothesis) about the population mean then we need to consider Students's t-distribution (hypothesis test for a single population mean) or a Z test. lets first we consider Stuent's t distribuion, for which we assume our data to be simple random sample. Similarly, for Z test we require the data to be drawn by using random sampling. Or for the case of Student's t distribution it is desirable that the sample size is lartge, with an unknown standard deviation.

So (A), is a requirement.

As discussed above, The population should be normally distributed and the sample size should be large i.e >30.

So (B) is also satisfied.

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