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# 6.1 - Assignment#8 5.48 5.50 5.52 5.60 6.18 6.32 6.66 6.68...

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Introduction to inference Estimating with confidence

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Assignment #8 5.48, 5.50, 5.52, 5.60, 6.18, 6.32, 6.66, 6.68 due October 28
Introduction to inference Estimating with confidence

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Confidence interval A confidence interval is a range of values with an associated probability or confidence level C . The probability quantifies the chance that the interval contains the true population parameter.
Uncertainty and confidence Although the sample mean, , is a unique number for any particular sample, if you pick a different sample you will probably get a different sample mean. In fact, you could get many different values for the sample mean, and virtually none of them would actually equal the true population mean, μ . x

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95% of all sample means will be within roughly 2 standard deviations (2 σ /√ n ) of the population parameter μ . Because distances are symmetrical, this implies that the population parameter μ must be within roughly 2 standard deviations from the sample average , in 95% of all samples. x
: 95% confidence interval for if is known

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± 4.2 is a 95% confidence interval for the population parameter μ . The equation says that in 95% of the cases, the actual value of μ will be within 4.2 units of the value of .
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