ed in the table. = 0.0804 and the standard deviation of the differences is xdif = fference in the amount of zinc (mg/L) in the top and the bottom 1 2 3 4 7 0.430 0.266 0.567 0.531 0.707 0.716 0.651 0.415 0.238 0.390 0.410 0.605 0.609 0.632 0.015 0.028 0.177 0.121 0.102 0.107 0.019 95% confidence interval for the true mean difference (Bottom – 523 20 t that this interval captures the true mean difference in the amou a this large region. 23 t that this interval captures the true mean difference in the amou a this large region. 23 t that this interval captures the true mean difference in the amou a this large region. 523 10 t that this interval captures the true mean difference in the amou a this large region.

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6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Trace metals found in wells affect the taste of drinking water, and high concentrations can pose a health risk. Researchers
measured the concentration of zinc (in milligrams/liter) near the top and the bottom of 10 randomly selected wells in a large
region. The data are provided in the table.
The mean difference is xdif = 0.0804 and the standard deviation of the differences is xdiff
0.0523.
Let udiff
the true mean difference in the amount of zinc (mg/L) in the top and the bottom of wells in this large region.
Well
1
2
3
4
5
6
7
8.
9.
10
Bottom
0.430
0.266
0.567
0.531
0.707
0.716
0.651
0.589
0.469
0.723
|Тop
0.415 | 0.238
0.390
0.410
0.605
0.609
0.632
0.523
0.411
0.612
Difference
0.015
0.028
0.177
0.121
0.102
0.107
0.019
0.066
0.058
0.111
Construct and interpret a 95% confidence interval for the true mean difference (Bottom – Top) in the zinc concentrations of
the wells in this region.
0.0523
0.0804 + 2.093
/20
We are 95% confident that this interval captures the true mean difference in the amount of zinc betwe
the bottom and
the top of the wells in this large region.
0.0523
0.0804 + 1.96
V10
We are 95% confident that this interval captures the true mean difference in the amount of zinc between the bottom and
the top of the wells in this large region.
0.0523
0.0804 + 1.96
V20
We are 95% confident that this interval captures the true mean difference in the amount of zinc between the bottom and
the top of the wells in this large region.
0.0523
0.0804 + 2.262
VIO
We are 95% confident that this interval captures the true mean difference in the amount of zinc between the bottom and
the top of the wells in this large region.
Transcribed Image Text:Trace metals found in wells affect the taste of drinking water, and high concentrations can pose a health risk. Researchers measured the concentration of zinc (in milligrams/liter) near the top and the bottom of 10 randomly selected wells in a large region. The data are provided in the table. The mean difference is xdif = 0.0804 and the standard deviation of the differences is xdiff 0.0523. Let udiff the true mean difference in the amount of zinc (mg/L) in the top and the bottom of wells in this large region. Well 1 2 3 4 5 6 7 8. 9. 10 Bottom 0.430 0.266 0.567 0.531 0.707 0.716 0.651 0.589 0.469 0.723 |Тop 0.415 | 0.238 0.390 0.410 0.605 0.609 0.632 0.523 0.411 0.612 Difference 0.015 0.028 0.177 0.121 0.102 0.107 0.019 0.066 0.058 0.111 Construct and interpret a 95% confidence interval for the true mean difference (Bottom – Top) in the zinc concentrations of the wells in this region. 0.0523 0.0804 + 2.093 /20 We are 95% confident that this interval captures the true mean difference in the amount of zinc betwe the bottom and the top of the wells in this large region. 0.0523 0.0804 + 1.96 V10 We are 95% confident that this interval captures the true mean difference in the amount of zinc between the bottom and the top of the wells in this large region. 0.0523 0.0804 + 1.96 V20 We are 95% confident that this interval captures the true mean difference in the amount of zinc between the bottom and the top of the wells in this large region. 0.0523 0.0804 + 2.262 VIO We are 95% confident that this interval captures the true mean difference in the amount of zinc between the bottom and the top of the wells in this large region.
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