Q1 **Chi-Square Distribution: Finding the Confidence Interval for Standard Deviation****Instructions:**Use the given information to find the number of degrees of freedom, the critical values \( \chi^2_L \) and \( \chi^2_R \), and the confidence interval estimate of \( \sigma \). It is reasonable to assume that a simple random sample has been selected from a population with a normal distribution.---#### Given Information:- **Platelet Counts of Women 95% Confidence**: - Sample size (\( n \)) = 26 - Sample standard deviation (\( s \)) = 65.6---**Step-by-Step Solution:**1. **Number of Degrees of Freedom (df):** \( df = n - 1 \) Enter your answer in the text box.2. **Critical Values:** - \( \chi^2_L \): Use a Chi-Square table or calculator to find the value corresponding to the left tail probability of 0.025 (since it's a 95% confidence interval). - \( \chi^2_R \): Use a Chi-Square table or calculator to find the value corresponding to the right tail probability of 0.975. Round to three decimal places as needed and enter your answers in the provided text boxes.3. **Confidence Interval Estimate of \( \sigma \):** - Calculate the lower bound using \( \sqrt{\frac{(n-1)s^2}{\chi^2_R}} \) - Calculate the upper bound using \( \sqrt{\frac{(n-1)s^2}{\chi^2_L}} \) Round to one decimal place as needed and enter your answers in the provided text boxes.**Useful Resources:**- [Chi-Square Table \( \chi^2 \)](URL to a Chi-Square table or resource)- [Statistical Calculator](URL to an online statistical calculator)**Interactive Tool:**Click the icon to view the table of Chi-Square critical values.---**Interactive Input Fields:** - **df =** □ (Type a whole number)- \( \chi^2_L = \) □ (Round to three decimal places as needed)- \( \chi^2_R = \) □ (Round to three decimal places as needed)- **The confidence interval estimate of \( \sigma \) is:** \( \

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C Use the given information to find the number of degrees of freedom, the critical values x and x, 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 95% confidence; n = 26, s = 65.6. Cl Click the icon to view the table of Chi-Square critical values. C df = (Type a whole number.) - x²-0 (Round to three decimal places as needed.) > X²= (Round to three decimal places as needed.) The confidence interval estimate of o is