Final answer:
A golf instructor used a hypothesis test to determine the effectiveness of her new golf technique on students' scores. The test involved comparing the mean scores before and after instruction using statistical analysis. Graphing utilities can help visualize changes and assess significance.
Step-by-step explanation:
A golf instructor is interested in determining the effectiveness of a new golf technique in improving player scores. To evaluate this, she collects data on the 18-hole scores from four new students, both before learning the technique and after completing her instruction. The instructor then performs a hypothesis test to analyze the data. This task involves statistical methods often used in the fields of mathematics and statistics to infer whether the observed improvements are statistically significant or could have occurred by chance. To conduct a hypothesis test, the instructor would likely calculate the mean scores before and after instruction, determine the difference in those means, and use a t-test or a paired comparison test to evaluate if the change in scores is significant, considering the sample size and variability of the scores. The successful application of such tests depends on a good understanding of statistical methodologies and the ability to use statistical or graphing utilities to visualize and analyze the data.