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The water crisis in Flint, MI (see https://en.wikipedia.org/wiki/Flint_water_crisis(Links to an external site.) for more detail) hit the national news in 2016. The person who unveiled

The water crisis in Flint, MI (see https://en.wikipedia.org/wiki/Flint_water_crisis(Links to an external site.) for more detail) hit the national news in 2016. The person who unveiled the lead problem was Marc Edwards, a professor of civil engineering at Virginia Tech University (and a recent McArthur Genius Award recipient for his work!).

According to the Environmental Protection Agency (EPA), water lead levels of 15 ppb (parts per billion) or less are considered to be safe. If lead concentrations exceed 15 ppb in more than 10% of customer water taps sampled, then an unsafe water alert will go out to customers.

The data that was used to uncover this problem is in the file Flint-Samples.xlsx. Only the tests performed on the first draw (first sample taken from a given source) are included.

Your task is to analyze this data to determine whether the water is safe or not, based on the EPA guidelines indicated above. Your submission for this question should be a PDF file which includes:

  1. A clear statement of your null and alternate hypotheses, with mathematical notation supplemented with a narrative statement if necessary;
  2. Excel output with appropriate hypothesis test results (please do not include the original data);
  3. A judgment about the null hypothesis based on your test results; and
  4. A clear, practical interpretation of these results that you can present to a non-technical audience. Remember, the question you are answering is, "Should an unsafe water alert be issued?" and you are using the EPA guidelines to make this decision based on the results you obtained.
SampleID Zip Code Ward Pb Bottle 1 (ppb) - First Draw
1 48504 6 0.344
2 48507 9 8.133
4 48504 1 1.111
5 48507 8 8.007
6 48505 3 1.951
7 48507 9 7.2
8 48507 9 40.63
9 48503 5 1.1
12 48507 9 10.6
13 48505 3 6.2
15 48507 9 4.358
16 48505 5 24.37
17 48505 2 6.609
18 48503 7 4.062
19 48507 9 2.484
20 48507 9 0.438
21 48503 5 1.29
22 48504 6 0.548
23 48504 2 3.131
24 48504 6 120
25 48505 1 2.911
26 48505 5 16.52
27 48505 1 1.984
28 48503 7 5.367
29 48504 2 5.5
30 48506 4 0.639
31 48503 7 6.087
31 48503 7 10.32
33 48503 6 66.88
34 48505 1 20.41
35 48504 6 109.6
36 48503 8 5.06
37 48504 2 2.774
38 48505 3 4.453
39 48505 1 0.4
40 48529 9 0.974
41 48505 5 3.228
42 48505 2 12.55
43 48505 3 0.501
44 48504 2 2.448
45 48505 3 5.508
46 48504 6 1.293
47 48505 1 4.699
48 48504 6 6.093
49 48504 2 0.8
50 48503 5 1.626
51 48507 8 2.576
52 48504 1 2.362
53 48503 5 1.585
54 48506 4 3.058
55 48506 4 2.423
56 48503 8 30.91
57 48503 8 4.47
58 48505 1 2.172
59 48505 3 1.8
63 48503 5 0.965
65 48505 1 7.636
66 48506 3 3.158
67 48503 7 105.3
68 48506 3 4.476
69 48504 1 2.828
71 48503 5 2.481
72 48507 5 11.52
73 48507 8 3.784
74 48503 5 1.344
75 48504 6 11.93
76 48507 9 10.96
77 48504 6 3.341
78 48503 5 1.229
79 48503 6 6.3
79 48503 6 5.153
80 48504 6 6.054
82 48504 2 31.14
83 48504 6 102.7
84 48504 2 1.38
85 48505 3 1.132
87 48507 9 3.232
88 48532 8 0.507
90 48506 4 8.561
91 48505 3 9.997
92 48504 1 4.152
93 48504 2 75.82
95 48506 4 138.8
96 48507 9 0.8
97 48504 2 7.244
98 48506 3 1.621
99 48505 1 1.032
100 48504 2 0.866
101 48504 2 2.525
102 48505 5 9.408
103 48505 0 0.739
104 48505 1 0.9
105 48504 2 1.403
106 48503 8 5.655
107 48505 2 31.06
108 48506 4 1.469
109 48505 1 23.85
110 48505 2 9.766
111 48505 1 4.69
112 48505 3 4.066
113 48505 1 0.846
114 48505 1 2.054
115 48506 7 3.744
116 48507 9 12.9
117 48505 1 0.543
118 48503 7 6.877
119 48505 1 0.552
121 48506 3 59
122 48506 4 0.349
123 48506 4 4.764
124 48506 4 0.832
125 48506 4 1.224
126 48507 9 15.9
127 48506 4 5.667
128 48506 4 3.564
129 48506 4 0.475
130 48507 9 5.3
131 48506 4 1.166
132 48506 4 0.684
133 48503 8 6.347
134 48507 9 10.56
135 48502 5 2.273
136 48505 1 1.571
137 48503 8 5.402
138 48504 6 43.19
139 48503 8 1.492
140 48503 5 66.24
141 48505 1 1.799
142 48503 8 1.861
143 48503 8 2.672
144 48505 1 3.741
145 48506 4 1.934
146 48506 4 27.05
147 48506 4 1.174
148 48507 9 2.325
149 48506 4 1.966
150 48506 4 1.959
151 48506 4 0.823
152 48506 4 11.2
153 48504 2 5.668
154 48506 4 6.261
155 48506 4 4.797
156 48506 4 0.64
158 48507 9 8.713
159 48507 9 2.544
161 48507 9 0.41
162 48503 7 32.85
163 48503 7 12.87
164 48503 8 38.02
165 48507 9 2.435
166 48507 9 2.997
167 48507 9 11
168 48507 9 6.219
169 48503 8 8.8
170 48504 6 8.071
171 48507 9 3.262
172 48503 8 2.267
173 48505 3 0.922
174 48504 6 27.02
176 48503 8 0.906
177 48507 9 2.85
178 48504 2 1.852
179 48506 4 5.35
180 48503 7 25.21
182 48504 6 15.55
183 48506 4 0.793
184 48506 4 5.068
185 48507 8 26.64
186 48506 4 1.867
189 48506 4 19.16
191 48503 5 28.7
192 48507 9 20.22
193 48507 8 2.9
194 48503 7 18.86
195 48507 9 2.816
196 48506 3 118.4
197 48506 3 27.45
198 48503 7 1.2
200 48506 4 4.681
201 48506 3 11.57
202 48532 8 6.557
203 48505 3 3.4
204 48504 6 0.7
205 48507 8 158
206 48506 4 0.977
207 48503 8 8.471
208 48507 9 11.47
209 48503 7 5.228
210 48507 9 0.956
211 48504 6 1.671
212 48507 9 1.152
213 48507 9 0.5
214 48503 5 10.74
215 48507 9 3.9
216 48507 9 2.149
217 48506 4 1.1
218 48507 9 7.087
219 48505 1 1.329
220 48507 9 6.2
221 48505 3 0.8
222 48503 8 9.3
223 48504 2 2.1
224 48505 1 4.563
225 48504 2 4.808
226 48504 2 0.753
227 48505 1 1.862
228 48503 7 1.183
229 48503 7 8.2
230 48504 6 3.679
231 48505 1 2.37
234 48504 2 0.828
235 48503 7 0.719
236 48504 1 2.822
237 48504 8 2.867
238 48503 7 2.332
240 48503 8 4.401
241 48504 6 2.708
242 48504 6 34.13
243 48503 7 5.218
244 48503 7 15.73
245 48504 6 3.045
246 48503 7 1.1
247 48503 7 1.386
248 48504 6 0.915
249 48504 6 2.145
250 48507 8 4.056
251 48503 7 1.668
252 48503 7 7.575
253 48507 8 5.59
254 48503 5 0.708
255 48504 6 1.701
256 48504 6 1.467
258 48504 2 2.582
259 48505 2 22.08
260 48507 8 16.51
262 48507 8 56.26
263 48504 6 2.433
264 48503 7 0.5
265 48504 6 29.13
266 48505 1 12.3
267 48504 6 3.445
268 48507 9 16.49
269 48503 7 3.365
270 48503 7 1.154
271 48507 9 13.53
272 48504 6 2.229
273 48503 7 28.91
274 48503 7 6.601
275 48507 9 0.948
276 48505 3 3.484
278 48503 7 1.888
279 48503 7 13.95
280 48504 6 6.27
281 48506 7 19.12
282 48507 9 1.633
283 48503 7 1.114
284 48503 7 3.9
285 48504 1 3.521
286 48507 9 3.832
287 48505 3 3.243
289 48503 7 0.99
290 48507 9 1.203
291 48506 3 2.261
292 48503 4 16.99
293 48503 7 3.322
294 48506 4 14.33
295 48503 7 18.11
296 48503 7 12.81
298 48503 7 1.083
299 48503 7 29.59
300 48505 1 4.287

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