LX20231125-1866

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Institute of Health Profession Education & Research, KMU Peshawar *

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CO

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Statistics

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Nov 24, 2024

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pdf

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4

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Last Name 1 Student’s Name Professor’s Name Course Number Date Part 2: V3, Quantitative Data A. Age at death B. C. Mean= 𝜇 = 74.625 Standard deviation= 𝜎 = 9.9 Data Group , Using V3 f frequency Class Midpoint x x. f 40-49 1 45 45 50-59 2 55 110 60-69 7 65 455 70-79 16 75 1200 80-89 11 85 935 90-99 3 95 285 Total 40 3030
Last Name 2 PART 1: Confidence Interval for Quantitative Data, V3 A. Given: Sample mean ( x̄ ) = 74.625 Population standard deviation (σ) = 9.9 Sample size (n) = 40 95% Confidence Interval: The formula for the confidence interval for the population mean ( μ ) when the population standard deviation ( σ ) is known is: Confidence Interval= 𝑥̅ ± 𝑍 ∗ 𝜎 √ 𝑛 For a 95% confidence interval, the Z-score is 1.96 (from the standard normal distribution table). Confidence Interval= 74 .625 ± 1 .96 ∗ 9 .9 √ 40 Confidence Interval= 74 .625 ± 3 .068 95% Confidence interval= (71.557, 77.693) B. I am 95% confident that the actual mean age at death of the population is between 71.557 and 77.693 years. C. A. For a 99% confidence interval, the Z-score is 2.576 (from the standard normal distribution table). Confidence Interval= 74 .625 ± 2 .576 ∗ 9 .9 √ 40
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