Weight of the packs is Correct 50g Weight of the packs is 50g Weight of the packs is Type I error not 50g Weight of the packs is Type II error Weight of the packs is 50g not 50g Weight of the packs is Correct not 50g Possible situations in Testing a Statistical Hypothesis The size of the critical region, and therefore the probability of committing a type I error, can always be reduced by adjusting the critical values Probability of rejecting H0 when it is falseĪ decrease in the probability of on error generally results an increase in the probability of the other Rejection of the Null Hypothesis when it is trueįailure to reject the null hypothesis when it is false The weight of an M&M pack is not 50 grams μ ≠ 50 The weight of an M&M pack is 50 grams μ = 50 In our test, we would accept it as 50 grams when it goes in this interval We assume that X is normally distributed The random experiment is the M&M pack with X denoting its weight. We want to test if a pack really weighs 50g as said in the wrapper Suppose that X, is a random variable, an outcome of a random experiment Compare test statistic and critical region to make conclusion 1. Determine critical area/acceptance region 4. Choose and compute for the test statistic 3. The construction and choice of this critical region are what make up the test of hypothesis. Simple – Simple – completely completely specifies the distribution Composite – Composite – does does not completely specify the distributionĪ test of statistical hypothesis is a rule which when the experimental values have been obtained, leads to a decision to reject or not reject the hypothesis under consideration The critical region, C, is that subset of the sample space which leads to the rejection of the hypothesis under consideration It is a statement that needs to be proven or disproven Use of p-value (versus conventional test of hypothesis)Īn assertion about the distribution of one or more random variables an assertion about the parameters of a distribution or a model.
Review of Type I and Type II errors er rors Check spelling or type a new query queen ant.IE 28 Statistical Analysis for Industrial Engineers We did not find results for: Maybe you would like to learn more about one of these? Check spelling or type a new query.
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