In: Statistics and Probability
The following data give the weight (in kg) of all six employees of a company.
61 73 53 48 68 89
a. Construct the population distribution of the weight of the employees. [3 marks]
b. List all the possible samples of size four (without replacement) that can be selected from this population. [10 marks]
c. Calculate the mean for each of the samples in part (b). [4 marks]
d. Write the sampling distribution of ?̅. [4 marks]
e. Compute the sampling errors for the samples in part (b). [4 marks]
f. Show that ??̅= ? √? √ ?−? ?−1 . [