Use the given information to find the number of degrees of freedom, the critical values xf and x6, and the confidence interval estimate of o. It is reasonable to assume that a simple random sample has been selected from a population with a normal distribution. Platelet Counts of Women 98% confidence; n= 29, s = 65.1. Click the icon to view the table of Chi-Square critical values. df = 28 (Type a whole number.) (Round to three decimal places as needed.)

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### Confidence Interval and Chi-Square Critical Values for Platelet Counts of Women

**Objective:** 
Use the given information to determine the number of degrees of freedom, the critical values \( \chi^2_L \) and \( \chi^2_R \), and the confidence interval estimate of \( \sigma \). The assumption is that a simple random sample has been selected from a population with a normal distribution.

**Given:**
- **Sampling Information**:
  - Confidence Level: 98% 
  - Sample Size (\( n \)): 29
  - Sample Standard Deviation (\( s \)): 65.1

**Instructions:**
1. Determine the degrees of freedom (\( df \)).
2. Find the critical values \( \chi^2_L \) and \( \chi^2_R \).
3. Calculate the confidence interval estimate for \( \sigma \).

#### Step-by-Step Solution:

**Step 1:** Calculate the Degrees of Freedom (\( df \))

The formula for degrees of freedom in this context is:
\[ df = n - 1 \]

Given \( n = 29 \):
\[ df = 29 - 1 = 28 \]

- **Input Field:** Type the whole number for degrees of freedom.
  - **df =** \(\underline{ \ \ 28 \ \ }\) 

**Step 2:** Find the Critical Values \( \chi^2_L \) and \( \chi^2_R \)

  Click the icon to view the table of Chi-Square critical values.

  - **Critical Value \( \chi^2_L \) =** \( \underline{ \ \ \ \ \ \ }\)
    - (Round to three decimal places as needed.)

**Visual Aid**: 

No graphs or diagrams are present in this question. However, a blue icon is displayed that suggests a link to the Chi-Square critical values table.

**Educational Resource:**

- To determine the exact critical values \( \chi^2_L \) and \( \chi^2_R \), one needs to consult the Chi-Square distribution table which provides critical values corresponding to the desired confidence level and degrees of freedom.

Note: This section illustrates how to complete each step to reach your required critical values and confidence interval estimates. For accurate results, the critical values should be sourced from the Chi-Square distribution table corresponding to the given degrees of freedom and confidence level.

**Disclaimer:** The example
Transcribed Image Text:### Confidence Interval and Chi-Square Critical Values for Platelet Counts of Women **Objective:** Use the given information to determine the number of degrees of freedom, the critical values \( \chi^2_L \) and \( \chi^2_R \), and the confidence interval estimate of \( \sigma \). The assumption is that a simple random sample has been selected from a population with a normal distribution. **Given:** - **Sampling Information**: - Confidence Level: 98% - Sample Size (\( n \)): 29 - Sample Standard Deviation (\( s \)): 65.1 **Instructions:** 1. Determine the degrees of freedom (\( df \)). 2. Find the critical values \( \chi^2_L \) and \( \chi^2_R \). 3. Calculate the confidence interval estimate for \( \sigma \). #### Step-by-Step Solution: **Step 1:** Calculate the Degrees of Freedom (\( df \)) The formula for degrees of freedom in this context is: \[ df = n - 1 \] Given \( n = 29 \): \[ df = 29 - 1 = 28 \] - **Input Field:** Type the whole number for degrees of freedom. - **df =** \(\underline{ \ \ 28 \ \ }\) **Step 2:** Find the Critical Values \( \chi^2_L \) and \( \chi^2_R \) Click the icon to view the table of Chi-Square critical values. - **Critical Value \( \chi^2_L \) =** \( \underline{ \ \ \ \ \ \ }\) - (Round to three decimal places as needed.) **Visual Aid**: No graphs or diagrams are present in this question. However, a blue icon is displayed that suggests a link to the Chi-Square critical values table. **Educational Resource:** - To determine the exact critical values \( \chi^2_L \) and \( \chi^2_R \), one needs to consult the Chi-Square distribution table which provides critical values corresponding to the desired confidence level and degrees of freedom. Note: This section illustrates how to complete each step to reach your required critical values and confidence interval estimates. For accurate results, the critical values should be sourced from the Chi-Square distribution table corresponding to the given degrees of freedom and confidence level. **Disclaimer:** The example
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