Question

Use the following data on number of deaths from drug overdose for sample of different states. We separated states to two groups based on whether a certain drug law is being enacted or not. The states where the law is enacted are called BLUE states and those not using this law are called RED states. (Note that there are 8 observations in each group)

Table: Number of overdose deaths every year in different states.

(BLUE States) - enacting the new drug law	(RED States) - NOT enacting the new drug law
43	29
25	72
64	49
17	86
36	78
21	45
53	38
19	45

What is the standard error (SE) for the mean estimator of the BLUE States?

6.13

6.56

106.34

17.34

Answer 1

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Solution

Observation	(BLUE States) enacting the new drug law
1	43
2	25
3	64
4	17
5	36
6	21
7	53
8	19

Mean = (43 + 25 + 64 + 17 + 36 + 21 + 53 + 19)/8 = 278/8 = 34.75

Observation	(BLUE States) enacting the new drug law (Xi)	di=(Xi- Mean)	di2
1	43	8.25	68.0625
2	25	-9.75	95.0625
3	64	29.25	855.5625
4	17	-17.75	315.0625
5	36	1.25	1.5625
6	21	-13.75	189.0625
7	53	18.25	333.0625
8	19	-15.75	248.0625

the standard error (SE) for the mean estimator of the BLUE States is 6.13

the correct option is 6.13