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 .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 =.1 level of significance? a) Express the null and alternative hypotheses in symbolic form for this claim. Assume d = bottom - surface. Enter !- for +. Ho: Pd Ha: Pd 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.

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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.

| Location | Zinc concentration in bottom water | Zinc concentration in surface water |
|----------|-----------------------------------|-----------------------------------|
| 1        | 0.430                             | 0.415                             |
| 2        | 0.266                             | 0.238                             |
| 3        | 0.567                             | 0.390                             |
| 4        | 0.531                             | 0.410                             |
| 5        | 0.707                             | 0.605                             |
| 6        | 0.716                             | 0.609                             |
| 7        | 0.651                             | 0.632                             |
| 8        | 0.589                             | 0.523                             |
| 9        | 0.469                             | 0.411                             |
| 10       | 0.723                             | 0.612                             |

Do the data support that the zinc concentration is less on the surface than the bottom of the water source, at the α = 0.1 level of significance?

a) Express the null and alternative hypotheses in symbolic form for this claim. Assume d = bottom - surface.
   
   \( H_0: \mu_d = 0 \)

   \( H_a: \mu_d > 0 \)

b) What is the significance level?

   \( \alpha = 0.1 \)

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. | Location | Zinc concentration in bottom water | Zinc concentration in surface water | |----------|-----------------------------------|-----------------------------------| | 1 | 0.430 | 0.415 | | 2 | 0.266 | 0.238 | | 3 | 0.567 | 0.390 | | 4 | 0.531 | 0.410 | | 5 | 0.707 | 0.605 | | 6 | 0.716 | 0.609 | | 7 | 0.651 | 0.632 | | 8 | 0.589 | 0.523 | | 9 | 0.469 | 0.411 | | 10 | 0.723 | 0.612 | Do the data support that the zinc concentration is less on the surface than the bottom of the water source, at the α = 0.1 level of significance? a) Express the null and alternative hypotheses in symbolic form for this claim. Assume d = bottom - surface. \( H_0: \mu_d = 0 \) \( H_a: \mu_d > 0 \) b) What is the significance level? \( \alpha = 0.1 \) 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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