If the F-statistic is in the fail to reject region, we conclude that the data did not reflect sufficient evidence to support the model postulated.
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- A large p-value indicates that the data is consistent with the alternative hypothesis. True or false?If the research prediction is that the treatment will decrease scores, then the critical region for a directional one-tailed test that uses a z-score statistic will be in the right hand tail. true or falseIn building an arena, steel bars with a mean ultimate tensile strength of 400 Megapascal (MPa) with a variance of 81 MPa were delivered by the manufactured. The project engineer tested 50 steel bars and found out that the mean ultimate tensile strength is 390 MPa. The decision for the extension of the contract with the manufacturer depends on the engineer. Test the hypothesis whether there is no significant difference between the two means using a two-tailed with a=0.01
- Let X1, ..., Xn be a sample from an Poisson population with parameter λ.(a) Find the maximum likelihood estimator for λ.(b) Is the estimator unbiased?(c) Is the estimator consistent?The 5-year survival rates by stage of disease, age at diagnosis, and race are provided in Table 10.24. Test whether the 5-year survival rate for breast cancer is significantly different between African American and Caucasian women who are younger than 50 years of age and have localized disease. Provide a p-value (two-tailed).If a sample is an extreme result and is significant, it will fall in the critical region which indicates a sample mean of that magnitude is unlikely if the null hypothesis is true. True or false?