Let the values of the random variable of interest in the population be given by the numbers {1, 2, 3}. Let p(x) = 1/3 for x = 1, 2, 3. Take samples of size 3 with replacement.
Obtain the sampling distribution of the sample variance S^2 . Make sure to provide a table with all the samples you may obtain and their sample S^2 then summarize and give the distribution containing the unique values of S^2 and their probability.
Let the values of the random variable of interest in the population be given by the...
Let the values of the random variable of interest in the population be given by the numbers {1, 2, 3}. Let p(x) = 1/3 for x = 1, 2, 3. Take samples of size 3 with replacement. Obtain the mean and variance of the S^2 using its distribution.
Let the values of the random variable of interest in the population be given by the numbers {1, 2, 3}. Let p(x) = 1/3 for x = 1, 2, 3. Take samples of size 3 with replacement. Calculate µ and σ^2 .
Three randomly selected households are surveyed. The numbers of people in the households are 44, 55, and 99. Assume that samples of size nequals=2 are randomly selected with replacement from the population of 44, 55, and 99. Listed below are the nine different samples. Complete parts (a) through (c). a) find the variance of each of the nine samples, then summarize the sampling distribution of the variances in a table representing the probability distribution of the sample variances. b) how...
1. Three randomly selected households are surveyed. The numbers of people in the households are 3, 4 and 11. Assume that samples of size n=2 are randomly selected with replacement from the population of3, 4, and 11. Listed below are the nine different samples. Complete parts (a) through (c).3,3 3,4 3,11 4,3 4,4 4,11 11,3 11,4 11,11a. Find the variance of each of the nine samples, then summarize the sampling distribution of the variances in the format of a table...
Three randomly selected households are surveyed. The numbers of people in the households are 2, 4, and 12. Assume that samples of size n=2 are randomly selected with replacement from the population of 2, 4, and 12. Listed below are the nine different samples. Complete parts (a) through (c). 2,2 2,4 2,12 4,2 4,4 4,12 12,2 12,4 12,12 o a. Find the variance of each of the nine samples, then summarize the sampling distribution of the variances in the format...
Three randomly selected households are surveyed. The numbers of people in the households are 3, 4, and 11. Assume that samples of size n=2 are randomly selected with replacement from the population of 3, 4, and 11. Listed below are the nine different samples. Complete parts (a) through (c). 3,3 3,4 3,11 4,3 4,4 4,11 11,3 11,4 11,11 a. Find the median of each of the nine samples, then summarize the sampling distribution of the medians in the format of...
Three randomly selected households are surveyed. The numbers of people in the households are 2, 4, and 9. Assume that samples of size n=2 are randomly selected with replacement from the population of 2, 4, and 9. Listed below are the nine different samples. Complete parts (a) through (c). 2,2 2,4 2,9 4,2 4,4 4,9 9,2 9,4 9,9 a. Find the variance of each of the nine samples, then summarize the sampling distribution of the variances in the format of...
5. Consider the following "population"! 2,3, 4,5. Suppose that a random sample of size 2 is to be selected with replacement from this population. There are 16 possible samples ( order of selection does matter). Compute the sample mean for each of these samples and use that information to construct the sampling distribution of x. (Display it in table form.
Let x be a continuous random variable with a uniform distribution. x can take on values between x=20 and x=54. Compute the probability, P(26<x<39). P(26<x<39)= ? (Give at least 3 decimal places) Let x be a continuous random variable with a uniform distribution. x can take on values between x=13 and x=52. Compute the probability, P(27<x<36). P(27<x<36)= ? (Give at least 3 decimal places)
where p denote the population mean of the original random variable 5.7 Problems . Assume X is a normally distributed random variable with mean u and stan- dard deviation σ. A sample of size n-5 from this distribution is given as 1. Assume we are interested in the properties of the mean of the sam- pling distribution of the sample mean. Describe why this quantity is a 2. State an estimator for the parameter given in question 1. Use this...