Question 1

STAT2114/STAT6114 Assignment 1

Suppose we have a population with 8 elements {3, 4, 8, 6, 3, 9, 2, 5},

a)

Calculate the meanand standard deviationof this population.

b)

Obtain a simple random sample of size 4 from this population, using the random numbers across the row provided below, which are extracted from a table of random numbers. List the four (data) values in this sample. (Mustshow how you have obtained this sample.)

73676 45467 52711 95592 68417 82739 60940 36009.

c)

Based on the sample obtained above, estimate the mean for the population above and its standard error.For this part, assume that you only have the sample obtained and know the total number of units in this population.