Question

twelve different video games showing alcohol use were observed. the duration times of alcohol use were recowith the times (seconds) listed below. what requirements must be satisfied to test the claim that the sample ispopulation with a mean greater than 75 sec? are the requirements all satisfied?89 15 607 52 0 53 222 43 185 0 2 52what requirements must be satisfied? select all that apply.a. at least one observation must be above or below 75 sec.b. the conditions for a binomial distribution must be satisfied.c. the sample observations must be a simple random sample.d. either the population is normally distributed, or n>30, or both.

Explanation:

• For a hypothesis test about a population mean, one of the key requirements is that the sample is a simple random sample (C). This ensures that the sample is representative of the population.
• Another requirement is related to the distribution of the population. If the sample size \(n\) is small (\(n < 30\)), the population should be normally distributed. Here \(n=12\) (small). So, either the population is normally distributed, or \(n>30\), or both (D).
• Option A is not a fundamental requirement for the hypothesis - test about the population mean. The claim is about the population mean, not about individual observations in relation to a single value.
• Option B: A binomial distribution is for a count of the number of successes in a fixed number of independent Bernoulli trials. This problem is about a continuous variable (time) and a population mean, so binomial distribution conditions are not relevant.

Answer:

C. The sample observations must be a simple random sample.
D. Either the population is normally distributed, or \(n > 30\), or both.