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Table 2. Lilliefors tests for normality. Dependent variable is "Change in BMI." Factor variable is Sex. Sex = Female Lilliefors (Kolmogorov-Smirnov) normality test data: Change.in.BMI D = 0.073632, p-value =0.7142 Sex = Male Lilliefors (Kolmogorov-Smirnov) normality test data: Change,in.BMI D = 0.04, p-value = 0.9555 Refer to Table 2. Given these statistics values, what is your statistical conclusion? Reject the null hypothesis for both Males and Females. O Accept the null hypothesis for both Males and Females. O Accept the null hypothesis for Females and reject the null for Males. O Reject the null hypothesis for Females and accept the null for Males.Testing the Mean for a Sample with Unknown Distribution 2 points possible (graded) Suppose that you observe a sample X1, ..., X, ~ P for some distribution P with continuous cdf. Your goal is to decide between the null and alternative hypotheses Ho : H = 0 HI : H #0. Looking at a histogram, you suspect that X1, ..., X, have a Gaussian distribution. You would like to first test this suspicion. Formally, you would like to decide between the following null and alternative hypotheses: H : P E IN ( 1, 6 ) ) HER, 6 2 20 H : P E IN ( H, o') ) MER, 5 2 20. Which of the following tests should you use to decide between Ho and H;? O Student's T test O Kolmogorov-Smirnov test O Kolmogorov-Lilliefors testConsider a Markov chain {Xn, n = 0, 1, . ..} on the state space S = {0, 1, 2}. Suppose that the Markov chain has the transition matrix 2 10 10 10 2 P = 3 10 2 4 10 10 1. Show that the Markov chain has a unique stationary mass. 2. Let h denote the stationary mass of the Markov chain. Find h(x) for all x E S. 3. Show that the Markov chain has the steady state mass. 4. Let h* denote the steady state mass of the Markov chain. Find h*(x) for all x E S.F chin Cofprimerric Analysis and Determination of Kay PART I: DATA TABLE Standard number Concentration of [FeSCN*] Absorbance (M) (calculated as answers to Pre-Lab Question O O B X 10 - 5 . 224 3 12 X 10-5 250 16 x10 -5 324 5 20 * 10-5 . 34 3 Unknown Number uation for the line of best fit for the Part I standard solutions: Should ART I: PRE-LAB QUESTIONS be linear What is the limiting reactant for this laboratory exercise? What is the name and formula of the colored species being measured in this laboratory exercise? Why is it important to fill the cuvette to about % full? The wavelength setting you are told to use Establishing Amax in this lab is not chosen arbitrarily. A previous experiment was conducted to