Question

Veterinarians at a city zoo were interested in the physical characteristics of the tigers that live there. They sampled 7 unrelated tigers, and the data they collected is displayed below. What statistical analysis could be done with this data?

A) Regression analysis
B) ANOVA (Analysis of Variance)
C) T-test
D) Chi-square test

Answer 1

The appropriate statistical analysis for comparing the physical characteristics of 7 unrelated tigers would be one-way ANOVA, following a test for equal variances due to observed differences in standard deviations.

Step-by-step explanation:

Given that veterinarians collected data on physical characteristics of 7 unrelated tigers and each sample is from a normally distributed population with an independent, random selection, the one-way ANOVA (Analysis of Variance) would be the appropriate statistical analysis to conduct. A one-way ANOVA is used for comparing more than two groups when the data meets certain assumptions such as normal distribution and equal variances. Since different standard deviations are observed, indicating a possible violation of equal variances, an initial test such as Levene's test for equality of variances should be performed before conducting a one-way ANOVA. the data may require transformation or the use of a different statistical test that does not assume equal variances, such as Welch's ANOVA.