Baby weight: Following are weights, in pounds, of 10 two-month-old baby girls. It is reasonable to assume that the population is approximately normal. 12.66 8.63 11.87 12.32 10.30 12.34 14.13 9.34 12.23 11.48 Part: 0/2 Part 1 of 2 Send data to Excel Construct a 90% interval for the mean weight of two-month-old baby girls. Round the answers to three decimal places. A 90% confidence interval for the mean weight of two-month-old baby girls is << . X S

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**Baby Weight Analysis**

**Data:** Below are the weights, in pounds, of 10 two-month-old baby girls. It is assumed that the population is approximately normal.

- 12.66, 11.87, 12.32, 10.30, 12.34
- 8.63, 14.13, 9.34, 12.23, 11.48

**Task Overview:**

**Objective:** Construct a 90% confidence interval for the mean weight of two-month-old baby girls. Ensure to round the answers to three decimal places.

**Instruction:** A 90% confidence interval for the mean weight of two-month-old baby girls is represented as \( x < \mu < y \). Fill in the values for \( x \) and \( y \).

**Procedure:**

1. Compute the sample mean (\(\bar{x}\)) and sample standard deviation (\(s\)).
2. Determine the critical value (z*) corresponding to 90% confidence.
3. Use the formula for a confidence interval:
   \[
   \bar{x} \pm z^* \left(\frac{s}{\sqrt{n}}\right)
   \]
   where \(n\) is the number of samples.

This exercise involves statistical calculations typically carried out using statistical software or calculators to ensure precision, particularly with rounding to three decimal places.
Transcribed Image Text:**Baby Weight Analysis** **Data:** Below are the weights, in pounds, of 10 two-month-old baby girls. It is assumed that the population is approximately normal. - 12.66, 11.87, 12.32, 10.30, 12.34 - 8.63, 14.13, 9.34, 12.23, 11.48 **Task Overview:** **Objective:** Construct a 90% confidence interval for the mean weight of two-month-old baby girls. Ensure to round the answers to three decimal places. **Instruction:** A 90% confidence interval for the mean weight of two-month-old baby girls is represented as \( x < \mu < y \). Fill in the values for \( x \) and \( y \). **Procedure:** 1. Compute the sample mean (\(\bar{x}\)) and sample standard deviation (\(s\)). 2. Determine the critical value (z*) corresponding to 90% confidence. 3. Use the formula for a confidence interval: \[ \bar{x} \pm z^* \left(\frac{s}{\sqrt{n}}\right) \] where \(n\) is the number of samples. This exercise involves statistical calculations typically carried out using statistical software or calculators to ensure precision, particularly with rounding to three decimal places.
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