# STAT 307

**Lab 2**

**Lab 4**

(Textbook p.46)

Q1. Consider the following population of six units:

x1 = 1, x2 = 2, x3 = 2, x4 = 4, x5 = 4, x6 = 5.

a. Find the exact distribution of xbar for a simple random sample of size 2 from this population.

b. Use the exact distribution to compute the expectation and standard deviation of the sample average.

c. Use the formulas found in the Theory section to compute the expectation and SD of xbar. Compare your answers to those found using the exact distribution of xbar.

Q2. Consider the following population of five units:

x1 = 1, x2 = 2, x3 = 2, x4 = 4, x5 = 4.

a. Find the exact distribution of the sample median of a simple random sample of size 3.

b. Use the exact distribution to compute the expectation and standard deviation of the sample median.

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Lab 5

Lab 5

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**Code used in today’s lab:**

Lab 6

Lab 6

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**Lab 7**

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Suggested solution to the lab task:

Lab 8

Lab 8

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**Lab 9**

**Lab 10**

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Reference plot for today's lab task:

To make life easier, you may safely skip Q4 of Lab Task 10.

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