Trace metals in drinking water affect the flavor and an unusually high concentration can pose a health hazard. Ten pairs of data were taken measuring zinc concentration in bottom water and surface water of a water source. Zinc Location concentration in bottom water 1 2 3 4 5 6 7 8 9 10 .430 .266 .567 .531 .707 .716 .651 .589 .469 .723 Zinc concentration in surface water .415 .238 .390 .410 .605 .609 .632 Ha: 0 b. What is the significance level? a = .523 .411 .612 Do the data support that the zinc concentration is less on the surface than the bottom of the water source, at the a = 0.1 level of significance? Note: A normal probability plot of difference in zinc concentration between the bottom and surface of water indicates the population could be normal and a boxplot indicated no outliers. a. Express the null and alternative hypotheses in symbolic form for this claim. Assume ₁ = μ₁ −μ2, where ₁ is the population mean zinc concentration in the bottom of water and μ₂ is the mean zinc concentration in the surface of water. Ho: Ma=0 0° c. What is the test statistic? Round to 3 decimal places. d. What is the p-value? Round to 4 decimal places. P =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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Trace metals in drinking water affect the flavor and an unusually high concentration can pose a health
hazard. Ten pairs of data were taken measuring zinc concentration in bottom water and surface water of a
water source.
Zinc
Location concentration in
bottom water
1
2
3
4
5
6
7
8
9
Ho: Ma
Ha: Pa
.430
.266
.567
.531
.707
.716
.651
=0
.589
>0
.469
10
Do the data support that the zinc concentration is less on the surface than the bottom of the water source,
at the a = = 0.1 level of significance? Note: A normal probability plot of difference in zinc concentration
between the bottom and surface of water indicates the population could be normal and a boxplot
indicated no outliers.
Zinc
concentration in
surface water
.723
.415
.238
.390
.410
.605
.609
.632
a. Express the null and alternative hypotheses in symbolic form for this claim. Assume μā = µ1 − µ2,
where μ₁ is the population mean zinc concentration in the bottom of water and µ2 is the mean zinc
concentration in the surface of water.
.523
b. What is the significance level?
α =
.411
.612
c. What is the test statistic? Round to 3 decimal places.
d. What is the p-value? Round to 4 decimal places.
P =
Transcribed Image Text:Trace metals in drinking water affect the flavor and an unusually high concentration can pose a health hazard. Ten pairs of data were taken measuring zinc concentration in bottom water and surface water of a water source. Zinc Location concentration in bottom water 1 2 3 4 5 6 7 8 9 Ho: Ma Ha: Pa .430 .266 .567 .531 .707 .716 .651 =0 .589 >0 .469 10 Do the data support that the zinc concentration is less on the surface than the bottom of the water source, at the a = = 0.1 level of significance? Note: A normal probability plot of difference in zinc concentration between the bottom and surface of water indicates the population could be normal and a boxplot indicated no outliers. Zinc concentration in surface water .723 .415 .238 .390 .410 .605 .609 .632 a. Express the null and alternative hypotheses in symbolic form for this claim. Assume μā = µ1 − µ2, where μ₁ is the population mean zinc concentration in the bottom of water and µ2 is the mean zinc concentration in the surface of water. .523 b. What is the significance level? α = .411 .612 c. What is the test statistic? Round to 3 decimal places. d. What is the p-value? Round to 4 decimal places. P =
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