Quil Acilve Dawin and Pablo are members of a normally distributed population that is being sampled, it the chance of Dawn being included in the sample is \( 0.05 \% \), what mus the chance of Pabio being included in the sample be in order to be able to make interences about the population based on the sample? \( 00 \% \) greater than \( 0 \% \) and less than \( 0.05 \% \) \( 0.05 \% \) greater than \( 0.05 \% \)

To solve this problem, we need to understand the implications of sampling from a normally distributed population and the relationship between the sample size and the ability to make inferences about the population. ### Known Conditions: 1. The chance of Dawn being included in the sample is \( 0.05\% \). 2. We need to determine the chance of Pablo being included in the sample to make inferences about the population. ### Step-by-Step Solution: 1. **Understanding Sampling**: - In a normally distributed population, the sample size is crucial for making valid inferences. A very small sample size may not represent the population well. 2. **Dawn's Inclusion**: - Dawn's inclusion probability is \( 0.05\% \). This is a very low probability, indicating that the sample size is likely small. 3. **Pablo's Inclusion**: - For valid inferences, we generally need a larger sample size. If Dawn's inclusion is \( 0.05\% \), then Pablo's inclusion must be at least equal to or greater than this to ensure that we have enough data points to make reliable conclusions. 4. **Options Analysis**: - \( 0\% \): This would mean Pablo is not included at all, which is not sufficient for making inferences. - Greater than \( 0\% \) and less than \( 0.05\% \): This would still be too low to make reliable inferences. - \( 0.05\% \): This would mean Pablo has the same chance as Dawn, which might be marginally acceptable but still low. - Greater than \( 0.05\% \): This would provide a better chance of making valid inferences about the population. ### Conclusion: To make inferences about the population based on the sample, the chance of Pablo being included in the sample must be **greater than \( 0.05\% \)**. Thus, the correct answer is: **greater than \( 0.05\% \)**.