X P(x) 6 0.2 7 0.2 8 0.3 9 0.2 10 0.1 1. Calculate the mean or the expected value of X 2. Calculate the variance of the random variable, X 3. Calculate the standard deviation of the random variable, X
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- Prove the propertyCompute mean, variance, and standard deviation13. STATEMENTS FIRST: CORRELATION CAN BE USED TO DETERMINE THE DEGREE OF RELATIONSHIP BETWEEN VARIABLES SECOND: COEFFICIENT CORRELATION RANGES FROM 0-1A. IF BOTH STATEMENTS ARE TRUEB. IF BOTH STATEMENTS ARE FALSEC. IF THE FIRST IS TRUE AND THE SECOND IS FALSED. IF THE FIRST IS FALSE AND THE SECOND IS TRUE 14. STATEMENTS FIRST; STANDARD DEVIATION IS THE SQUARE ROOT OF THE VARIANCE SECOND: DISPERSION GIVES US THE IDEA OF THE DEGREE OF SCATTERING OF THE DATA IN THE DISTRIBUTION A. IF BOTH STATEMENTS ARE TRUEB. IF BOTH STATEMENTS ARE FALSEC. IF THE FIRST IS TRUE AND THE SECOND IS FALSED. IF THE FIRST IS FALSE AND THE SECOND IS TRUE 15. CHARACTERISTICS OF THE NORMAL CURVEI. CURVE IS ASYMMETRICAL ABOUT MEANII. TAILS OF THE NORMAL CURVE ARE ASYMPTOTIC RELATIVE TO THE HORIZONTAL LINEIII. TOTAL AREA UNDER THE NORMAL CURVE IS EQUAL TO 1IV. NORMAL CURVE ARE SUBDIVIDED INTO THE THREE STANDARD DEVIATION A. I, II, AND III ONLYB. II, III, AND IV ONLYC. I, II, III, AND IVD. I, II, AND IV ONLYE. I,…
- Assuming variance > 1, which of the following must be true? The sample variance is calculated based on the sample size rather than the degrees of freedom The data are normally distributed Standard deviation < variance The model will explain more than 50% of the variance of the dependent variableLet x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normal. For the population of healthy female adults, suppose the mean of the x distribution is about 4.64. Suppose that a female patient has taken six laboratory blood tests over the past several months and that the RBC count data sent to the patient's doctor are as follows. 4.9 4.2 4.5 4.1 4.4 4.3 (1) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) x=| S= (ii) Do the given data indicate that the population mean RBC count for this patient is lower than 4.64? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Ο Hg: μ= 4.64; H1: μ 4.64 Ο Ηρ: μ> 4.64; H1: μ = 4.64 Ho: u = 4.64; H1: u * 4.64 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O…How do you find the mean and variance of part(d)?I need the detailed solution.