Sampling distribution of the sample mean

Assignment Help Basic Statistics

Reference no: EM13985511

Let the population be given by the numbers {-2, -1, 0, 1, 2}. Take all random samples of size 3.

(a) Without replacement, obtain the following in each case.

(i) The sampling distribution of the sample mean.

(ii) The sampling distribution of the sample median.

(iii) The sampling distribution of the sample standard deviation.

(iv) The mean and variance of the sample mean.

(b) How many samples of size 3 can we get, if we sample with replacement?

Reference no: EM13985511

Questions Cloud

Compute the probability that a random sample : Compute the probability that a random sample of 50 infants born at full term results in a sample mean of less than 3500 grams.

In?nite population having the mean : A random sample of size 150 is taken from an in?nite population having the mean μ = 15 and standard deviation σ = 2.5. What is the probability that X will be between 10.5 and 18.5?

Calcualting the sampling distribution of the sample mean : 1. Let the population be given by {1, 2, 3}. Let p(x) = 1/3 for x = 1, 2, 3. Take samples of size 3 with replacement. (a) Calculate μ and σ2. (b) Obtain the sampling distribution of the sample mean.

Value of the ?nite population correction factor : What is the probability of each sample in part (a), if each sample of size 2 is equally likely? Find the value of the ?nite population correction factor.

Sampling distribution of the sample mean : Let the population be given by the numbers {-2, -1, 0, 1, 2}. Take all random samples of size 3. (a) Without replacement, obtain the following in each case.

Find the greatest number of shirts : A shirt manufacturer knows that, on the average, 2% of his product will not meet quality speci?cations. Find the greatest number of shirts constituting a lot that will have, with probability 0.95, fewer than ?ve defectives.

Failure of certain component follows the distribution : Suppose that a failure of certain component follows the distribution f(x) = px(1 - p)x for x = 0, 1, and zero, elsewhere. How many components must one test in order that the sample mean X will lie within 0.4 of the true state of nature with probabili..

Probability that the number of cars arriving : Find, using Chebyshev's inequality, a lower bound for the probability that the number of cars arriving at the intersection in 1 hour is between 70 and 130.

Variable with probability density function : Let X be a random variable with probability density function 630x4(1 - x)4, 0 1,f(x) = 0, otherwise.

User Account

All Pages