B.6  tests for mean
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B.6 tests for mean

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B.6  tests for mean B.6 tests for mean Presentation Transcript

  • Hypothesis test for a Mean
  • Conditions
  • Conducting a Hypothesis test 1- state the hypothesis: Ho & Ha (mutually exclusive) Null hypothesis alternative hypothesis # of tails μ = S μ = S 2 μ= S μ < S 1 (left side tail) μ= S μ > S 1 (right side tail) S represents a specified value that ( μ) the population mean is related to 2- Analysis Plan * one sample t-test to determine whether the hypothesized means differs significantly from the observed sample means (must also find SE and degrees of freedom)
  • 3- Analyze: find the TS and its associated P-value for a t-test * when the population is at least 10 times larger than the sample size, then the SE can be approximated by: where degrees of freedom = n-1 * TS: t= x - μ x= sample mean SE μ = hypothesized population mean in the null hypothesis *P-value- probability of observing a sample statistic as extreme as the TS (where the TS is a t-score) 4- Interpret- compare the P-value to the significance level and reject null when the P-value is less than the Significance level