Referring to the previous questions, at which line on the sampling distribution is our sample statistic least likely to fall?Group of answer choicesABCD

To answer this question, we need to understand the concept of a sampling distribution and the placement of sample statistics within it.

1. Sampling Distribution: This is a probability distribution of a given statistic based on a random sample. It shows how the statistic would vary from sample to sample.

2. Sample Statistic: This is a numerical value that represents a characteristic of the sample, such as the sample mean or sample proportion.

3. Least Likely Position: In a sampling distribution, the sample statistic is least likely to fall in the tails of the distribution. This is because the tails represent the extreme values, which have lower probabilities compared to the central values.

Given the choices A, B, C, and D, we need to identify which line corresponds to the tails of the distribution.

• Line A: If this line is in the tail of the distribution, it would be the least likely position.
• Line B: If this line is closer to the center, it would be more likely.
• Line C: If this line is also closer to the center, it would be more likely.
• Line D: If this line is in the tail of the distribution, it would be the least likely position.

Without a visual representation of the distribution, we can infer that the lines representing the tails (A or D) are the least likely positions for the sample statistic.

Therefore, the sample statistic is least likely to fall on the line that represents the tail of the distribution, which could be either A or D.