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In: Statistics and Probability

The following data give the weight (in kg) of all six employees of a company. 61...

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 . [

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