2. Using the simple ra these sample statis suggests that the pe 0 = 31.28 lb. a. The best point e %3D b. The 90% confid

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**Question 12: Statistical Estimation Using Sample Data**

In this exercise, we explore statistical estimation using a simple random sample of weights of women from a dataset. The following sample statistics are provided:

- Sample size (\( n \)) = 50 
- Sample mean (\( \bar{x} \)) = 144.99 lb 

Research indicates that the population of weights of women has a standard deviation (\( \sigma \)) given by:

\( \sigma = 31.28 \) lb

**Questions:**

a. Determine the best point estimate for the population mean, which is _______ lb.

b. Calculate the 90% confidence interval estimate for the population mean, expressed as _____ lb < \( \mu \) < _____ lb.

*Note: Calculations for point estimates and confidence intervals provide a range within which the population parameter is expected to fall, offering insight into the reliability of the estimates.*
Transcribed Image Text:**Question 12: Statistical Estimation Using Sample Data** In this exercise, we explore statistical estimation using a simple random sample of weights of women from a dataset. The following sample statistics are provided: - Sample size (\( n \)) = 50 - Sample mean (\( \bar{x} \)) = 144.99 lb Research indicates that the population of weights of women has a standard deviation (\( \sigma \)) given by: \( \sigma = 31.28 \) lb **Questions:** a. Determine the best point estimate for the population mean, which is _______ lb. b. Calculate the 90% confidence interval estimate for the population mean, expressed as _____ lb < \( \mu \) < _____ lb. *Note: Calculations for point estimates and confidence intervals provide a range within which the population parameter is expected to fall, offering insight into the reliability of the estimates.*
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