Need help with this stats and R homework

QUESTION 1 2 points Save Answer Suppose that you want to conduct a chi-square test for independence between two categorical values, A and B. What is the associated degrees of freedom you would use for the number of subcategories for each of the categories under consideration. a) A has 5 sub-categories, B has 7 subcategories, y = b) A has 11 subcategories, B has 9 sub-categories, 1/: QUESTION 2 2 points Save Answer a) the null hypothesis we assume is that the categorical variables "are" or "are not") independent variables. If the variables are truly independent, then we hope that the: b) chi-square test statistic is ("close to" or "far from") 0. c) chisquare test statistic is (\"close to" or "far from") 0. The chisquare test for independence: d) is a ("one" or "two")tailed test. QUESTION 3 Suppose you are testing to see whether or not someones favorite color is dependent on their favorite music genre. Below are the results of your survey. Obtained Frequencie Rock Pop Country s 32 32 15 14 21 18 19 31 14 26 21 18 How many people did you survey? 1 points Save Answer Using the data in (3), if the categorical variables were indeed independent from one another, what would be the associated expected frequencys for each of the sub-category interactions? Round to 1 decimal place for each. Rock Pop Country MG-IOSQCQGH'HQGH-OG'UX QUESTION 5 2 points Save Answer In continuation of (4), what is the associated chisquare test statistic for your test? Round to 4 decimal places. Be sure not to use intermediate rounding. QUESTION 6 2 points Save Answer In continuation of (5), what is the associated p-value? Round to 4 decimal places. Note: You should be able to interpret this answer correctly if an alpha value was to be presented to you. QUESTION 7 1 points Save Answer Consider the box-plots of four sets of univariate data shown below. 70 so 50 40 {u M 10 (from left to right: A (red), B (yellow), C (green), D (blue)) Which of the sets is the closest to a normally distributed data set? O Data Set A O Data Set B O Data Set C O Data Set D QUESTION 8 3 points Save Answer Construct an artical normally distributed discrete data set of size 6 whose mean is O and standard deviation is 1. Round to 2 decimal places for each. Give your answers from least to greatest: X1: YXZ= Ix3 ,X4 ,X5- . X6 = Note: The formulas you use to calculate Zcritical values in R (or Excel) can be used, with lower. tail set equal to 'true'. QUESTION 9 1 points Save Answer Suppose you collect four samples, each from different populations, and construct a normal quantile-quantile (NQQ) plot for each of those samples. Below are the results. QQ Plot Set 1 QQ Plot Set 2 QQ Plot Set 3 QQ Plot Set 4 2 7 a 7 7 a 1 5 . . o ' 7 a 1 s . ' 5 o ' ' t w 1 7 s . g o o 05 ' 1 o I 0 . z . . o 0 ' 1 s 0 an" M -' 0 no... 1 ' ,7 71 o 1 7 0 . .7 .1 a 1 I O '3' .7 .1 It 1 ) u- \"b ' no 0' .' on. g ,1 ..-co .0. 7| .003 1 c .7 4 . _nr, 0 1 z . . 71 5 o 1 5 1': 1 o I . '7 ' 72 ' 2 . o ' 15 -z,5 7; '3 .3 r, .7 Based only on the N00 plots, which of them provide the most evidence that the sample is coming from a normally distributed population? 0 Sample Set 1 0 Sample Set 2 0 Sample Set 3 O Sample Set 4