Which type of analysis determines whether there was a significant difference in the average donor solicitation amount between three nonprofit hospital events?

Cluster analysis is a technique used to group similar objects based on their characteristics but does not provide statistical tests for differences in means. It is primarily focused on identifying patterns or segments within data rather than comparing means across groups, making it unsuitable for the analysis of donor solicitation amounts.

Time series analysis examines data points collected or recorded at specific time intervals to identify trends or seasonal patterns. Although it is useful for tracking changes over time, it is not designed to compare averages across multiple groups, thus failing to address the question of differences in donor solicitation amounts.

Logistic regression is used to model binary outcomes, predicting the probability of a certain event occurring based on one or more predictor variables. In this scenario, where the focus is on comparing average amounts rather than classifying outcomes, logistic regression is not applicable.