# 1-Suppose that there exists the population below and that you happen to know the population standard deviation (you can calculate it in this case).

1-Suppose that there exists the population below and that you happen to know the population standard deviation (you can calculate it in this case). If you draw a sample which has these four observations, 19, 21, 7, 25 what is the z value? Answer to four decimal places. DO NOT USE ANY PREVIOUSLY ROUNDED ANSWERS AS INPUTS IN YOUR CALCULATIONS;

Population values: 5, 16, 7, 33, 19, 21, 30, 6, 8, 14, 25.

2-Suppose that there exists the population below and that you happen to know the population standard deviation (you can calculate it in this case). What is the probability of drawing a sample that has a larger z value, based on looking at the z table, than the sample of 19, 21, 7, 25? By larger I mean it is further to the right of 0; i.e., -1 is not larger than .89. Answer to four decimal places. DO NOT USE ANY PREVIOUSLY ROUNDED ANSWERS AS INPUTS IN YOUR CALCULATIONS;

Population values: 5, 16, 7, 33, 19, 21, 30, 6, 8, 14, 25

3-Suppose that there exists the population below. You draw a random sample for the population. What is the smallest possible average that you could draw when taking a sample of three? Answer to three decimal places.

Population values: 5, 16, 7, 33, 19, 21, 30, 6, 8, 14, 25.

4-Suppose that there exists the population below. You draw a random sample for the population. What is the largest possible average that you could draw when taking a sample of three? Answer to three decimal places.

Population values: 5, 16, 7, 33, 19, 21, 30, 6, 8, 14, 25.

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