In R, the original dataset is accessible via the (palmerpenguins) package. For this question, the dataset consists of 344 penguins and two variables- flipper length and species (Adelie, Chinstrap and Gentoo). We wish to compare the three different species and test the null hypothesis that the three species have the same flipper length at the 5% significance level. A random sample was selected for each penguin species and each species had approximately equal sample sizes. Assume that flipper length is approximately normally distributed in each of the three species and that the variance of flipper length is approximately equal across the three species. 1. Determine the population parameters. (6pts) 2. State the null and alternative hypotheses for this study. (4pt) 3. Identify the three assumptions in this study. (6pts) 4. What type of statistical analysis is most appropriate? (2pts) a) One-sample Z-test b) One-sample t-test Two-sample t-test equal variances Two-sample t-test unequal variance Chi-square Test f) Paired t-test g) Analysis of variance (ANOVA) 5. The following ANOVA table was output in R. (10pts) Sum Sq Mean Sq F value Pc( >F) species 52473 C