8. Review of Tests for Sample Means: For each of the following situations, choose the most appropriate analytical procedure for evaluating hypotheses about means (or medians) from the list provided. You may choose more than one option in some situations. Briefly explain your choices in the space provided. One-sample t-test Analysis of Variance Two-sample t-test (pooled variance) Paired t-test Kruskal-Wallis Procedure Two-sample t-test (separate variance) Sign test Mann-Whitney U-test Sequential Bonferroni Procedure F-test for Variances Log, Root Transformation Power, Exponential Transformation f. A mammologist wants to determine if wing loading ratio differs between seven bat species that differ in size and the type of food they eat (insects catchers vs. fruit eaters). He obtains data for computing wing loading ratio from a random sample for each of the 7 bat species (sample sizes ranging from 12 to 33 individuals per species). Suppose that the data distributions for the seven species contain no outliers and are approximately Normal, and that the sample variances are fairly similar. g. Suppose all the data distributions for these seven bat species studied for question f. were negatively skewed, what is the most appropriate test to determine if the seven bat species differ among each other with regard to wing loading ratio? h. Suppose some data distributions for the seven bat species studied for question e. were negatively skewed, but others had large outliers. What is the most appropriate analysis to determine if the seven bat species differ with regard to wing loading ratio? To evaluate a new analytical method, a chemist obtains a reference specimen with known chemical concentration (50 ug/1) from the National Institute of Standards and Technology. She makes 20 concentration measurements on this specimen with the new method and compares the mean concentration with the known concentration of the standard samples. Suppose the data distribution is moderately negatively skewed, but with no outliers