**Title: Analysis of Video Game Observations for Alcohol Use Duration****Objective:**Examine the requirements necessary to test the claim that a sample is from a population with a mean greater than 90 seconds, using the recorded duration times of alcohol use from twelve different video games.**Data (Duration times in seconds):**- 83, 15, 576, 48, 0, 53, 224, 41, 184, 0, 2, 62**Requirements to Satisfy:**Select all that apply:A. The sample observations must be a simple random sample.B. The conditions for a binomial distribution must be satisfied.C. At least one observation must be above or below 90 seconds.D. Either the population is normally distributed, or \( n > 30 \), or both.**Analysis and Responses:**- **Option A:** No. The conditions for a binomial distribution are not satisfied, and there is not enough information to determine whether the sample is a simple random sample.- **Option B:** No. The sample size is not greater than 30, the sample does not appear to be from a normally distributed population, and there are no observations above 90 seconds.- **Option C:** Yes. A normal quantile plot suggests that the sample is from a normally distributed population, and there are observations above and below 90 seconds.- **Option D:** No. The sample size is not greater than 30, the sample does not appear to be from a normally distributed population, and there is not enough information to determine whether the sample is a simple random sample.- **Option E:** No. The sample size is not greater than 30, the sample does not appear to be from a normally distributed population, and there are no observations above 90 seconds.- **Option F:** Yes. A normal quantile plot suggests that the sample is from a normally distributed population, and there is enough information to determine that the sample is a simple random sample. **Conclusion:**For accurate testing of the claim regarding the population mean, it is essential to ensure that normal distribution conditions are met, either through sample size or distribution characteristics, along with proper sampling methods. The selected options provide a framework for these requirements.

Name: **Title: Analysis of Video Game Observations for Alcohol Use Duration
Uploaded: 2024-03-20T07:06:27.000Z
Channel: Bartleby
Description: **Title: Analysis of Video Game Observations for Alcohol Use Duration****Objective:**Examine the requirements necessary to test the claim that a sample is from a population with a mean greater than 90 seconds, using the recorded duration times of al

The requirements that must be satisfied for testing the claim is that, The individuals in the sample must be drawn randomly. If the population is normally distributed then the sampling distribution is also normally distributed regardless of the sample size. If there is not information about the population, for sufficiently large sample size n≥30 sampling distribution of sample mean has the normal distribution with parameters. Correct answer: Option A. The sample observations must be a simple random sample. Option D. Either the population is normally distributed, or n≥30, or both,The sample of 12 different video games showing alcohol are taken. There is no information whether this sample is drawn randomly or not. Also, the distribution of population is not known and the sample size is not sufficiently large (not n≥30). This shows that, the requirements are not satisfied to test the claim that the sample is from the population with mean greater than 90 sec. Correct answer: Option D. No, the sample size is not greater than 30, the sample does not appear to be from a normally distributed population, and there is not enough information given to determine whether the sample is a simple random sample.