I need help with this statistics homework

QUESTION 1 1 points Save Answer An improved non-parametric test of the Grubbs' tests that considers multiple possible outliers is the... O Wilcoxon Paired-Sign Test O Wilcoxon Sign Test O Tietjen-Moore Test O Lilliefors' Test Brown-Forsythe Test O Grubb's Test O Mann Whitney U Test O Kolmogorov-Smirnov Test QUESTION 2 1 points Save Answer True or False: Taking the logarithm of a data set will always make the data set less skewed. O True O FalseQUESTION 3 3 points Save Answer Suppose that you collect a simple random sample from a normally distributed population, whose summary statistics are listed below: Q = 121.1, Q = 123.8, 0, = 124.1, 2, = 126.8, 0 = 132.1 n=23, x= 124.3, s=2.3 Round all answers to 4 decimal places. a) What is the associated Grubb's test statistic? b) What is the associated Grubb's 4.5% alpha critical value? c) Based on the answers in (a) and (b), do you have evidence to believe that your chosen value is an outlier? ("yes" or "no") QUESTION 4 2 points Save Answer Consider the set given by S = {1, 6, 9, 10, 10, 11, 11, 11, 14}. a) The skewness coefficient of S is equal to (4 decimals) b) From the answer in (a), the data set appears to be skewed to the (type "right" or "left"). QUESTION 5 2 points Save Answer Consider the set given by S = {-29, -25,_-25,_-23, -19, -17, -8, 0, 1, 3, 4}. a) The skewness coefficient of S is equal to (4 decimal places) b) From the answer in (a), the data set appears to be skewed to the (type "right" or "left").QUESTION 6 1 points Save Answer Consider the data set given by S = {6, 8, 10, 11, 14, 19, 26, 39, 72). Round all answers to 4 decimal places. a) What is the skewness coefficient of S? b) Once all necessary transformations on S are made, what will be the reduced skewness coefficient of S? QUESTION 7 2 points Save Answer Consider the data set given by S = {3, 8, 10, 11, 11, 12, 12, 14). Round all answers to 4 decimal places. a) What is the skewness coefficient of S? b) Once all necessary transformations on S are made, what will be the reduced skewness coefficient of S? QUESTION 8 2 points Save Answer Consider the data set given by S = {-43,_-29, -10, -4, 3, 4, 5, 5, 5, 9}. Round all answers to 4 decimal places. a) What is the skewness coefficient of S? b) Once all necessary transformations on S are made, what will be the reduced skewness coefficient of S