Question
please use excel and provide the sheet Flint residents were told that by running (flushing) their tap water for about 45 seconds, the lead levels
please use excel and provide the sheet
Flint residents were told that by running (flushing) their tap water for about 45 seconds, the lead levels in the water will drop significantly.
The file titled Flint_Water_2.xlsx contains data on the lead levels in tap water for the homes for the initial draw and then for the draw from the same source after 45 seconds of flushing the water.
Did the average lead level reduce significantly after 45 seconds? Test this at 5% and 1% level of significance.
- State the null and alternate Hypotheses. Make sure that your hypotheses are clear and unambiguous.
- What is the p-value?
- Did the average lead level reduce significantly at 5% level of significance? Why or why not?
- Did the average lead level reduce significantly at 1% level of significance? Why or why not?
- Please explain your findings in a clear language intended for a non-technical audience. Should the Flint residents be running their tap water for 45 seconds prior to drinking it?
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Continue analyzing the data set from Question 3.
Now, consider the issue of the proportion of homes that have more than 15 ppb (parts per billion) lead in their water. (Recall from the assignment in the previous module that the Environmental Protection Agency considers the proportion of homes which have more than 15 ppb lead concentration in their water when deciding whether to issue the safe water alert).Does the proportion of homes with more than 15 ppb lead significantly decrease after flushing the water for 45 seconds? Test this at 5% and 1% level of significance.
- State the null and alternate hypotheses. Make sure that your hypotheses are clear and unambiguous.
- What is the p-value?
- Did the proportion of homes with more than 15 ppb of lead decrease at 5% level of significance after flushing the water for 45 seconds? Why or why not?
- Did the proportion of homes with more than 15 ppb of lead decrease at 1% level of significance after flushing the water for 45 seconds? Why or why not?
- Please explain your findings in a clear language intended for a non-technical audience. Should the Flint residents be running their tap water for 45 seconds prior to drinking it?
SampleID | Zip Code | Ward | Pb Bottle 1 (ppb) - First Draw | Pb Bottle 2 (ppb) - 45 secs flushing |
1 | 48504 | 6 | 0.344 | 0.226 |
2 | 48507 | 9 | 8.133 | 10.77 |
4 | 48504 | 1 | 1.111 | 0.11 |
5 | 48507 | 8 | 8.007 | 7.446 |
6 | 48505 | 3 | 1.951 | 0.048 |
7 | 48507 | 9 | 7.2 | 1.4 |
8 | 48507 | 9 | 40.63 | 9.726 |
9 | 48503 | 5 | 1.1 | 2.5 |
12 | 48507 | 9 | 10.6 | 1.038 |
13 | 48505 | 3 | 6.2 | 4.2 |
15 | 48507 | 9 | 4.358 | 0.822 |
16 | 48505 | 5 | 24.37 | 8.796 |
17 | 48505 | 2 | 6.609 | 5.752 |
18 | 48503 | 7 | 4.062 | 1.099 |
19 | 48507 | 9 | 2.484 | 0.72 |
20 | 48507 | 9 | 0.438 | 1.046 |
21 | 48503 | 5 | 1.29 | 0.243 |
22 | 48504 | 6 | 0.548 | 0.622 |
23 | 48504 | 2 | 3.131 | 0.674 |
24 | 48504 | 6 | 120 | 239.7 |
25 | 48505 | 1 | 2.911 | 0.406 |
26 | 48505 | 5 | 16.52 | 10.26 |
27 | 48505 | 1 | 1.984 | 1.13 |
28 | 48503 | 7 | 5.367 | 2.474 |
29 | 48504 | 2 | 5.5 | 8.4 |
30 | 48506 | 4 | 0.639 | 0.223 |
31 | 48503 | 7 | 6.087 | 28.87 |
31 | 48503 | 7 | 10.32 | 13.47 |
33 | 48503 | 6 | 66.88 | 2.662 |
34 | 48505 | 1 | 20.41 | 3.543 |
35 | 48504 | 6 | 109.6 | 80.47 |
36 | 48503 | 8 | 5.06 | 3.406 |
37 | 48504 | 2 | 2.774 | 0.21 |
38 | 48505 | 3 | 4.453 | 3.679 |
39 | 48505 | 1 | 0.4 | 0.3 |
40 | 48529 | 9 | 0.974 | 0.142 |
41 | 48505 | 5 | 3.228 | 2.534 |
42 | 48505 | 2 | 12.55 | 4.132 |
43 | 48505 | 3 | 0.501 | 0.156 |
44 | 48504 | 2 | 2.448 | 0.373 |
45 | 48505 | 3 | 5.508 | 5.157 |
46 | 48504 | 6 | 1.293 | 0.441 |
47 | 48505 | 1 | 4.699 | 1.395 |
48 | 48504 | 6 | 6.093 | 2.682 |
49 | 48504 | 2 | 0.8 | 0.8 |
50 | 48503 | 5 | 1.626 | 1.332 |
51 | 48507 | 8 | 2.576 | 2.852 |
52 | 48504 | 1 | 2.362 | 0.467 |
53 | 48503 | 5 | 1.585 | 0.494 |
54 | 48506 | 4 | 3.058 | 1.808 |
55 | 48506 | 4 | 2.423 | 0.393 |
56 | 48503 | 8 | 30.91 | 42.58 |
57 | 48503 | 8 | 4.47 | 3.649 |
58 | 48505 | 1 | 2.172 | 1.76 |
59 | 48505 | 3 | 1.8 | 0.5 |
63 | 48503 | 5 | 0.965 | 0.166 |
65 | 48505 | 1 | 7.636 | 5.206 |
66 | 48506 | 3 | 3.158 | 1.948 |
67 | 48503 | 7 | 105.3 | 12.84 |
68 | 48506 | 3 | 4.476 | 0.355 |
69 | 48504 | 1 | 2.828 | 6.694 |
71 | 48503 | 5 | 2.481 | 3.86 |
72 | 48507 | 5 | 11.52 | 0.288 |
73 | 48507 | 8 | 3.784 | 0.292 |
74 | 48503 | 5 | 1.344 | 0.729 |
75 | 48504 | 6 | 11.93 | 9.645 |
76 | 48507 | 9 | 10.96 | 7.744 |
77 | 48504 | 6 | 3.341 | 0.555 |
78 | 48503 | 5 | 1.229 | 1.192 |
79 | 48503 | 6 | 6.3 | 1.1 |
79 | 48503 | 6 | 5.153 | 0.385 |
80 | 48504 | 6 | 6.054 | 0.927 |
82 | 48504 | 2 | 31.14 | 4.73 |
83 | 48504 | 6 | 102.7 | 9.894 |
84 | 48504 | 2 | 1.38 | 3.734 |
85 | 48505 | 3 | 1.132 | 2.17 |
87 | 48507 | 9 | 3.232 | 2.989 |
88 | 48532 | 8 | 0.507 | 2.315 |
90 | 48506 | 4 | 8.561 | 5.141 |
91 | 48505 | 3 | 9.997 | 0.983 |
92 | 48504 | 1 | 4.152 | 0.758 |
93 | 48504 | 2 | 75.82 | 11.65 |
95 | 48506 | 4 | 138.8 | 2.745 |
96 | 48507 | 9 | 0.8 | 0.2 |
97 | 48504 | 2 | 7.244 | 1051 |
98 | 48506 | 3 | 1.621 | 0.3 |
99 | 48505 | 1 | 1.032 | 0.363 |
100 | 48504 | 2 | 0.866 | 0.292 |
101 | 48504 | 2 | 2.525 | 0.59 |
102 | 48505 | 5 | 9.408 | 4.444 |
103 | 48505 | 0 | 0.739 | 4.883 |
104 | 48505 | 1 | 0.9 | 0.2 |
105 | 48504 | 2 | 1.403 | 0.142 |
106 | 48503 | 8 | 5.655 | 5.882 |
107 | 48505 | 2 | 31.06 | 8.578 |
108 | 48506 | 4 | 1.469 | 0.291 |
109 | 48505 | 1 | 23.85 | 2.301 |
110 | 48505 | 2 | 9.766 | 11.13 |
111 | 48505 | 1 | 4.69 | 0.953 |
112 | 48505 | 3 | 4.066 | 5.894 |
113 | 48505 | 1 | 0.846 | 0.455 |
114 | 48505 | 1 | 2.054 | 3.978 |
115 | 48506 | 7 | 3.744 | 5.592 |
116 | 48507 | 9 | 12.9 | 2.202 |
117 | 48505 | 1 | 0.543 | 0.183 |
118 | 48503 | 7 | 6.877 | 2.984 |
119 | 48505 | 1 | 0.552 | 0.19 |
121 | 48506 | 3 | 59 | 2.9 |
122 | 48506 | 4 | 0.349 | 0.13 |
123 | 48506 | 4 | 4.764 | 1.388 |
124 | 48506 | 4 | 0.832 | 0.284 |
125 | 48506 | 4 | 1.224 | 0.568 |
126 | 48507 | 9 | 15.9 | 3.7 |
127 | 48506 | 4 | 5.667 | 1.405 |
128 | 48506 | 4 | 3.564 | 2.767 |
129 | 48506 | 4 | 0.475 | 0.2 |
130 | 48507 | 9 | 5.3 | 0.5 |
131 | 48506 | 4 | 1.166 | 0.736 |
132 | 48506 | 4 | 0.684 | 0.306 |
133 | 48503 | 8 | 6.347 | 1.724 |
134 | 48507 | 9 | 10.56 | 5.672 |
135 | 48502 | 5 | 2.273 | 2.808 |
136 | 48505 | 1 | 1.571 | 1.265 |
137 | 48503 | 8 | 5.402 | 4.196 |
138 | 48504 | 6 | 43.19 | 7.688 |
139 | 48503 | 8 | 1.492 | 1.409 |
140 | 48503 | 5 | 66.24 | 17.75 |
141 | 48505 | 1 | 1.799 | 0.032 |
142 | 48503 | 8 | 1.861 | 1.355 |
143 | 48503 | 8 | 2.672 | 2.001 |
144 | 48505 | 1 | 3.741 | 1.211 |
145 | 48506 | 4 | 1.934 | 0.374 |
146 | 48506 | 4 | 27.05 | 0.902 |
147 | 48506 | 4 | 1.174 | 0.291 |
148 | 48507 | 9 | 2.325 | 1.099 |
149 | 48506 | 4 | 1.966 | 0.253 |
150 | 48506 | 4 | 1.959 | 0.438 |
151 | 48506 | 4 | 0.823 | 1.881 |
152 | 48506 | 4 | 11.2 | 7.553 |
153 | 48504 | 2 | 5.668 | 3.341 |
154 | 48506 | 4 | 6.261 | 1.316 |
155 | 48506 | 4 | 4.797 | 1.594 |
156 | 48506 | 4 | 0.64 | 0.905 |
158 | 48507 | 9 | 8.713 | 2.799 |
159 | 48507 | 9 | 2.544 | 1.099 |
161 | 48507 | 9 | 0.41 | 0.096 |
162 | 48503 | 7 | 32.85 | 35.76 |
163 | 48503 | 7 | 12.87 | 14.87 |
164 | 48503 | 8 | 38.02 | 38.7 |
165 | 48507 | 9 | 2.435 | 8.183 |
166 | 48507 | 9 | 2.997 | 1.867 |
167 | 48507 | 9 | 11 | 10.53 |
168 | 48507 | 9 | 6.219 | 12.33 |
169 | 48503 | 8 | 8.8 | 3.1 |
170 | 48504 | 6 | 8.071 | 0.947 |
171 | 48507 | 9 | 3.262 | 0.453 |
172 | 48503 | 8 | 2.267 | 0.541 |
173 | 48505 | 3 | 0.922 | 0.878 |
174 | 48504 | 6 | 27.02 | 31.25 |
176 | 48503 | 8 | 0.906 | 0.961 |
177 | 48507 | 9 | 2.85 | 6.862 |
178 | 48504 | 2 | 1.852 | 0.472 |
179 | 48506 | 4 | 5.35 | 1.328 |
180 | 48503 | 7 | 25.21 | 4.337 |
182 | 48504 | 6 | 15.55 | 3.962 |
183 | 48506 | 4 | 0.793 | 0.533 |
184 | 48506 | 4 | 5.068 | 0.683 |
185 | 48507 | 8 | 26.64 | 8.878 |
186 | 48506 | 4 | 1.867 | 0.165 |
189 | 48506 | 4 | 19.16 | 12.54 |
191 | 48503 | 5 | 28.7 | 12.7 |
192 | 48507 | 9 | 20.22 | 8.908 |
193 | 48507 | 8 | 2.9 | 0.6 |
194 | 48503 | 7 | 18.86 | 5.051 |
195 | 48507 | 9 | 2.816 | 0.324 |
196 | 48506 | 3 | 118.4 | 40.78 |
197 | 48506 | 3 | 27.45 | 0.939 |
198 | 48503 | 7 | 1.2 | 0.1 |
200 | 48506 | 4 | 4.681 | 0.755 |
201 | 48506 | 3 | 11.57 | 6.08 |
202 | 48532 | 8 | 6.557 | 0.289 |
203 | 48505 | 3 | 3.4 | 9.6 |
204 | 48504 | 6 | 0.7 | 0.2 |
205 | 48507 | 8 | 158 | 90.83 |
206 | 48506 | 4 | 0.977 | 0.47 |
207 | 48503 | 8 | 8.471 | 4.692 |
208 | 48507 | 9 | 11.47 | 23.15 |
209 | 48503 | 7 | 5.228 | 2.477 |
210 | 48507 | 9 | 0.956 | 0.196 |
211 | 48504 | 6 | 1.671 | 0.405 |
212 | 48507 | 9 | 1.152 | 0.708 |
213 | 48507 | 9 | 0.5 | 0.1 |
214 | 48503 | 5 | 10.74 | 2.331 |
215 | 48507 | 9 | 3.9 | 0.4 |
216 | 48507 | 9 | 2.149 | 0.368 |
217 | 48506 | 4 | 1.1 | 0.4 |
218 | 48507 | 9 | 7.087 | 9.467 |
219 | 48505 | 1 | 1.329 | 0.609 |
220 | 48507 | 9 | 6.2 | 0.7 |
221 | 48505 | 3 | 0.8 | 0.26 |
222 | 48503 | 8 | 9.3 | 9.7 |
223 | 48504 | 2 | 2.1 | 1.2 |
224 | 48505 | 1 | 4.563 | 3.106 |
225 | 48504 | 2 | 4.808 | 6.196 |
226 | 48504 | 2 | 0.753 | 2.526 |
227 | 48505 | 1 | 1.862 | 1.213 |
228 | 48503 | 7 | 1.183 | 0.366 |
229 | 48503 | 7 | 8.2 | 3.2 |
230 | 48504 | 6 | 3.679 | 0.498 |
231 | 48505 | 1 | 2.37 | 7.333 |
234 | 48504 | 2 | 0.828 | 1.318 |
235 | 48503 | 7 | 0.719 | 0.254 |
236 | 48504 | 1 | 2.822 | 1.221 |
237 | 48504 | 8 | 2.867 | 0.723 |
238 | 48503 | 7 | 2.332 | 3.588 |
240 | 48503 | 8 | 4.401 | 2.111 |
241 | 48504 | 6 | 2.708 | 2.238 |
242 | 48504 | 6 | 34.13 | 6.002 |
243 | 48503 | 7 | 5.218 | 2.614 |
244 | 48503 | 7 | 15.73 | 13.95 |
245 | 48504 | 6 | 3.045 | 2.744 |
246 | 48503 | 7 | 1.1 | 0.5 |
247 | 48503 | 7 | 1.386 | 0.288 |
248 | 48504 | 6 | 0.915 | 0.354 |
249 | 48504 | 6 | 2.145 | 0.345 |
250 | 48507 | 8 | 4.056 | 0.547 |
251 | 48503 | 7 | 1.668 | 1.508 |
252 | 48503 | 7 | 7.575 | 1.362 |
253 | 48507 | 8 | 5.59 | 4.306 |
254 | 48503 | 5 | 0.708 | 0.326 |
255 | 48504 | 6 | 1.701 | 4.397 |
256 | 48504 | 6 | 1.467 | 0.149 |
258 | 48504 | 2 | 2.582 | 259.8 |
259 | 48505 | 2 | 22.08 | 15.86 |
260 | 48507 | 8 | 16.51 | 2.024 |
262 | 48507 | 8 | 56.26 | 4.692 |
263 | 48504 | 6 | 2.433 | 1.334 |
264 | 48503 | 7 | 0.5 | 0.2 |
265 | 48504 | 6 | 29.13 | 11.57 |
266 | 48505 | 1 | 12.3 | 0.5 |
267 | 48504 | 6 | 3.445 | 0.29 |
268 | 48507 | 9 | 16.49 | 12.83 |
269 | 48503 | 7 | 3.365 | 2.45 |
270 | 48503 | 7 | 1.154 | 0.176 |
271 | 48507 | 9 | 13.53 | 21.91 |
272 | 48504 | 6 | 2.229 | 1.573 |
273 | 48503 | 7 | 28.91 | 5.471 |
274 | 48503 | 7 | 6.601 | 1.929 |
275 | 48507 | 9 | 0.948 | 0.27 |
276 | 48505 | 3 | 3.484 | 0.434 |
278 | 48503 | 7 | 1.888 | 0.359 |
279 | 48503 | 7 | 13.95 | 12.2 |
280 | 48504 | 6 | 6.27 | 4.036 |
281 | 48506 | 7 | 19.12 | 22.02 |
282 | 48507 | 9 | 1.633 | 0.465 |
283 | 48503 | 7 | 1.114 | 0.605 |
284 | 48503 | 7 | 3.9 | 0.558 |
285 | 48504 | 1 | 3.521 | 0.45 |
286 | 48507 | 9 | 3.832 | 0.794 |
287 | 48505 | 3 | 3.243 | 0.738 |
289 | 48503 | 7 | 0.99 | 0.25 |
290 | 48507 | 9 | 1.203 | 19.26 |
291 | 48506 | 3 | 2.261 | 0.102 |
292 | 48503 | 4 | 16.99 | 6.32 |
293 | 48503 | 7 | 3.322 | 2.559 |
294 | 48506 | 4 | 14.33 | 1.284 |
295 | 48503 | 7 | 18.11 | 20.21 |
296 | 48503 | 7 | 12.81 | 7.874 |
298 | 48503 | 7 | 1.083 | 0.322 |
299 | 48503 | 7 | 29.59 | 3.258 |
300 | 48505 | 1 | 4.287 | 4.345 |
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