Calcium is essential to tree growth because it promotes the formation of wood and maintains cell walls. In 1990, the concentration of calcium precipitation in a certain area was 0.11 milligrams per liter (mg/L). A random sample of 10 precipitation dates in 2007 results in the following data table. Complete parts (a) through (c) below. Click the icon to view the data table. (a) State the hypotheses for determining if the mean concentration of calcium precipitation has changed since 1990. Ho: 0.11 mg/L H1: V0.11 mg/L (b) Construct a 99% confidence interval about the sample mean concentration of calcium precipitation. The lower bound is The upper bound is (Round to four decimal places as needed.) (c) Does the sample evidence suggest that calcium concentrations have changed since 1990? O A. Yes, because the confidence interval does not contain 0.11 mg/L. O B. Yes, because the confidence interval contains 0.11 mg/L. O C. No, because the confidence interval does not contain 0.11 mg/L. O D. No, because the confidence interval contains 0.11 mg/L.

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## Calcium Precipitation and Tree Growth

Calcium is essential to tree growth because it promotes the formation of wood and maintains cell walls. In 1990, the concentration of calcium in precipitation in a certain area was 0.11 milligrams per liter (mg/L). A random sample of 10 precipitation dates in 2007 results in the following data table.

### Hypothesis Testing

(a) **State the Hypotheses**

To determine if the mean concentration of calcium precipitation has changed since 1990:

- Null Hypothesis (H₀): The mean concentration is equal to 0.11 mg/L.
- Alternative Hypothesis (H₁): The mean concentration is not equal to 0.11 mg/L.

### Confidence Interval

(b) **Construct a 99% Confidence Interval**

Calculate the confidence interval for the sample mean concentration of calcium precipitation:

- **The lower bound is**: [Input required]
- **The upper bound is**: [Input required]

(Round to four decimal places as needed.)

### Interpretation

(c) **Does the sample evidence suggest that calcium concentrations have changed since 1990?**

Select one of the following options based on the confidence interval:

- A. Yes, because the confidence interval does not contain 0.11 mg/L.
- B. Yes, because the confidence interval contains 0.11 mg/L.
- C. No, because the confidence interval does not contain 0.11 mg/L.
- D. No, because the confidence interval contains 0.11 mg/L.

This exercise guides understanding hypotheses and confidence intervals in the context of environmental statistics.
Transcribed Image Text:## Calcium Precipitation and Tree Growth Calcium is essential to tree growth because it promotes the formation of wood and maintains cell walls. In 1990, the concentration of calcium in precipitation in a certain area was 0.11 milligrams per liter (mg/L). A random sample of 10 precipitation dates in 2007 results in the following data table. ### Hypothesis Testing (a) **State the Hypotheses** To determine if the mean concentration of calcium precipitation has changed since 1990: - Null Hypothesis (H₀): The mean concentration is equal to 0.11 mg/L. - Alternative Hypothesis (H₁): The mean concentration is not equal to 0.11 mg/L. ### Confidence Interval (b) **Construct a 99% Confidence Interval** Calculate the confidence interval for the sample mean concentration of calcium precipitation: - **The lower bound is**: [Input required] - **The upper bound is**: [Input required] (Round to four decimal places as needed.) ### Interpretation (c) **Does the sample evidence suggest that calcium concentrations have changed since 1990?** Select one of the following options based on the confidence interval: - A. Yes, because the confidence interval does not contain 0.11 mg/L. - B. Yes, because the confidence interval contains 0.11 mg/L. - C. No, because the confidence interval does not contain 0.11 mg/L. - D. No, because the confidence interval contains 0.11 mg/L. This exercise guides understanding hypotheses and confidence intervals in the context of environmental statistics.
**Data Table Overview**

This image presents a simple data table containing two rows and five columns. The values in the table are decimal numbers, which could represent various data points such as probabilities, measurements, or statistical outputs depending on the context. Here is the transcription of the numerical data available in the table:

- **Row 1**: 0.066, 0.086, 0.078, 0.253, 0.115
- **Row 2**: 0.183, 0.103, 0.219, 0.314, 0.116

These values are organized systematically, potentially enabling users to draw comparisons or analyze trends across the columns and rows. Options to **Print** or mark the task as **Done** are available below the table for further actions.
Transcribed Image Text:**Data Table Overview** This image presents a simple data table containing two rows and five columns. The values in the table are decimal numbers, which could represent various data points such as probabilities, measurements, or statistical outputs depending on the context. Here is the transcription of the numerical data available in the table: - **Row 1**: 0.066, 0.086, 0.078, 0.253, 0.115 - **Row 2**: 0.183, 0.103, 0.219, 0.314, 0.116 These values are organized systematically, potentially enabling users to draw comparisons or analyze trends across the columns and rows. Options to **Print** or mark the task as **Done** are available below the table for further actions.
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