An obstetrician records birth weights of 42 newborns she delivers over a two-month period. x¯¯¯=3452 grams with σ=393.8. She constructs a confidence interval of 3332.9035≤μ≤3571.0965. What is the confidence level she used to estimate the population mean?
Answers
Answer:
95%
Step-by-step explanation:
Given : Mean = 3452 grams
SD σ = 393.8 grams
constructs a confidence interval of 3332.9035 ≤μ ≤ 3571.0965.
To Find : confidence level sed to estimate the population mean
Solution:
Mean = 3452 grams
SD σ = 393.8 grams
constructs a confidence interval of 3332.9035 ≤ μ ≤ 3571.0965
Z score = (value - mean)/SD
Z score for 3332.9035
= (3332.9035 - 3452)/393.8
= -0.3024
≈ 37.3 %
Z score for 3571.0965
= (3571.0965 - 3452)/393.8
= 0.3024
≈ 62.7 %
confidence level she used to estimate the population mean = 62.7 - 37.3
= 25.4 %
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