Final answer:
The normal distribution is used to determine the probability of an outcome relative to all others, based on its position to the mean and standard deviation. Answer A) Relative is correct. It is applied in various statistical analyses, such as comparing two proportions or assessing the effect of two different diets with known population standard deviations.
Step-by-step explanation:
The normal distribution is used to determine the probability of a certain outcome relative to all other outcomes. The correct answer to the question is A) Relative. When using the normal distribution, outcomes are assessed based on their position relative to the mean, with the area under the curve representing the likelihood of occurrence. This probability is determined by how many standard deviations away from the mean a value lies, which describes its relative frequency compared to the rest of the data within the distribution.
For instance, in the context of the given examples:
- 52. The correct answer is D. Normal because it describes a situation where the frequency of occurrences decreases as the distance increases, which is indicative of a normal distribution.
- b. The comparison between two proportions to determine if they are equal, such as the difference in proportions of males and females passing their driver's test on the first attempt, relates to E. Two proportions.
- 123. In the case of testing a powder diet versus a liquid diet with known population standard deviations, the correct statistical test relates to A. Independent group means, population standard deviations and/or variances known.