010+Correlation

The null hypothesis and alternative hypotheses are

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Unformatted text preview: es are Ha = {µd < D0 } (lower-tailed test) Ha = {µd > D0 } (upper-tailed test) (two-tailed test) Ha = {µd = D0 } Test statistic is z= ¯ ¯ d − D0 d − D0 √≈ √. σd / nd sd / nd 11 A. Zhensykbaev Correlation Rejected regions are (lower-tailed test) RR = {z < −zα } (upper-tailed test) RR = {z > zα } RR = {z < −zα/2 } ∪ {z > zα/2 )} = {|z | > zα/2 } (two-tailed test). Small sample. Paired dierence condence interval. sd ¯ d ± tα/2 √ , nd where tα/2 is based on (nd − 1) degree of freedom. Paired dierence test of hypothesis for µd . The null hypothesis and alternative hypotheses are the same. Test statistic is t= ¯ d − D0 √. sd / nd Rejected regions are (lower-tailed test) RR = {t < −tα } RR = {t > tα } (upper-tailed test) RR = {t < −tα/2 } ∪ {t > tα/2 )} = {|t| > tα/2 } (two-tailed test), where tα and tα/2 are based on (nd − 1) degree of freedom. Example 4. Refer t...
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