Determine the distribution of Xn for the following
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- You are given the following data. X = [0.1, 0.21, 0.22, 0.34, 1.1, 1.3, 2.3, 3.22]. Assume you want to model this as a continuous distribution, and to this end want to build a histogram with 4 bins. What is the upperbound of the first bin?2. Suppose that X1, X2, X3 and X4, are independent and identically distributed with a mean of 2.5 and a standard deviation of 0.6. Find the mean and standard deviation for variables Y and W defined below. Let Y= 4X1 а. b. Let W= Xi + X2 + X3 + X4Suppose that X has a discrete uniform distribution on the integers 0 through 9. Determine the mean, variance, and standard deviation of the random variable Y = 6X. The mean is i [Round your answer to one decimal place (e.g. 98.7).] The variance is i [Round your answer to two decimal places (e.g. 98.76).] The standard deviation is i [Round your answer to two decimal places (e.g. 98.76).] Statistical Tables and Charts
- Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is $242 with a standard deviation of $55. Random samples of size 35 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is enter your response here. The standard deviation of the distribution of sample means is enter your response here. (Type an integer or decimal rounded to three decimal places as needed.) Sketch a graph of the sampling distribution. Choose the correct answer below. A. -3 0 3Mean price (in $) x A bell shaped curve is over a horizontal x overbar axis labeled Mean price (in dollars) from negative 3 to 3 in increments of 1 and is centered on 0. B. 239 242 245Mean price (in $) x A bell shaped curve is over…Page 348 5.3.14A Chi square distribution with 5° of freedom is graphed below. The region under the curve to the right of x2-0.75 is shaded. The area of this region is 0.75.
- a. Derive the mean of the distribution.b. Write (without derivation) the characteristic function for thedistribution. What are the values of its derivatives at 0? c. Explain why higher moments do not exist for the distribution. Explainwhat it means for variance not to be defined.A social service organization reports that the level of educational attainment of mothers receiving food stamps is uniformly distributed. To test this claim, you randomly select 96 mothers who currently receive food stamps and record the educational attainment of each. The results are shown in the table on the right. At a = 0.01, can you reject the claim that the distribution is uniform? Complete parts (a) through (d) below. Response Not a high school graduate High school graduate College (1 year or more) Frequency, fe 37 39 20 (a) State Ho and H, and identify the claim. Ho: The distribution of educational attainment responses is Ha: The distribution of educational attainment responses is Which hypothesis is the claim? Ho Ha (b) Determine the critical value, Xo, and the rejection region. 2 Хо (Round to three decimal places as needed.) %3D Choose the correct rejection region below. 2 2 O B. Xsx. O D. X²2X% 2 Ο Α. Χx% O C. X >Xo
