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 Zinc Location concentration in concentration in bottom water surface water 1 .430 .415 2 .266 .238 3 .567 .390 4 .531 .410 .707 .605 6. .716 .609 7 .651 .632 8 .589 .523 9 .469 .411 10 .723 .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 la = 41 – 42, where 4, is the population mean zinc concentration in the bottom of water and uz is the mean zinc concentration in the surface of water. Ho: Hā Select an answer Ha:pā Select an answer b. What is the significance level? a = c. What is the test statistic? Round to 3 decimal places. ?v d. What is the p-value? Round to 4 decimal places. e. Make a decision. O Reject the null Do not reject the null f. What is the conclusion? O There is sufficient evidence to support the claim that the zinc concentration is less on the surface than the bottom of the water source. O There is not sufficient evidence to support the claim that the zinc concentration is less on the surface than the bottom of the water source.
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 Zinc Location concentration in concentration in bottom water surface water 1 .430 .415 2 .266 .238 3 .567 .390 4 .531 .410 .707 .605 6. .716 .609 7 .651 .632 8 .589 .523 9 .469 .411 10 .723 .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 la = 41 – 42, where 4, is the population mean zinc concentration in the bottom of water and uz is the mean zinc concentration in the surface of water. Ho: Hā Select an answer Ha:pā Select an answer b. What is the significance level? a = c. What is the test statistic? Round to 3 decimal places. ?v d. What is the p-value? Round to 4 decimal places. e. Make a decision. O Reject the null Do not reject the null f. What is the conclusion? O There is sufficient evidence to support the claim that the zinc concentration is less on the surface than the bottom of the water source. O There is not sufficient evidence to support the claim that the zinc concentration is less on the surface than the bottom of the water source.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.3: Shapes Of Distributions
Problem 20E
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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
Zinc
Location concentration in concentration in
bottom water
surface water
1
.430
.415
2
.266
.238
3
.567
.390
4
.531
.410
.707
.605
.716
.609
7
.651
.632
8
.589
.523
9
.469
.411
10
.723
.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 Ha = H1 - H2,
where 41 is the population mean zinc concentration in the bottom of water and uz is the mean zinc
concentration in the surface of water.
Họ: Hà Select an answer v
Ha:Ha Select an answer ♥
b. What is the significance level?
a
c. What is the test statistic? Round to 3 decimal places.
d. What is the p -value? Round to 4 decimal places.
p =
e. Make a decision.
O Reject the null
O Do not reject the null
f. What is the conclusion?
O There is sufficient evidence to support the claim that the zinc concentration is less on the
surface than the bottom of the water source.
O There is not sufficient evidence to support the claim that the zinc concentration is less on the
surface than the bottom of the water source.
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