06C_NoEx_F10

# 06C_NoEx_F10 - The Hong Kong University of Science...

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The Hong Kong University of Science & Technology ISMT 111: Business Statistics Tutorial Set 6 Con fi dence Interval Estimation for Mean, μ For large sample size ( n > 30) , if σ is unknown, use s instead. For small sample size ( n 6 30) with normal population and known σ . A (1 α )100% Con fi dence Interval for μ is X ± z α 2 σ n . σ 2 is unknown small sample size ( n 6 30) population is normal A (1 α )100% Con fi dence Interval for μ is X ± t n 1 , α 2 s n , where X the point estimator of μ z α 2 it corresponds to an area of 1 α 2 from the center of a standardized normal distribution t n 1 , α 2 it corresponds to an area of 1 α 2 from the center of a t distribution,with n 1 degree(s) of freedom (d.f.) 1 α Con fi dence Coe cient - measures the level of con fi dence (the probability) that the C.I. will enclose the parameter we estimate. σ n Standard Error of the Mean s n Estimated Standard Error of the Mean 1

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Con fi dence Interval for Di ff erence between Two Means μ 1 μ 2 Assume X 1 and X 2
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