For a random sample of 55 overweight men, the mean of the number of pounds that they were overweight was 29. The standard deviation of the population is 3.8 pounds. Round intermediate answers to at least three decimal places. Round your final answers to one decimal place. Part 1 The best point estimate of the mean is 29 pounds. Part 2 out of 4 Find the 95% confidence interval of the mean of these pounds. < ? <
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Given: - Sample mean (x̄) = 29 pounds - Standard deviation (σ) = 3.8 pounds - Sample size (n) = 55 - Confidence level = 95% - Z-score for 95% confidence level = 1.96 Margin of error (E) = Z * (σ / √n) E = 1.96 * (3.8 / √55) E ≈ 1.96 * (3.8 / 7.416) E ≈ 1.96 * Show more…
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