For each of the following assertions, state whether it is a legitimate statistical hypothesis and why: H: σ > 100 H: x ̃= 45 H: s ≤ 0.20 H: σ1/σ2 < 1 H: λ ≤ 0.01, where λ is the parameter of an exponential distribution used to model component lifetime

Given the following null and alternative hypotheses, conduct a hypothesis test using an alpha equal to 0.05. (Note: The population standard deviations are assumed to be known.) H0: µ1 ≤ µ2 HA: µ1 > µ2 The sample means for the two populations are shown as follows: sample mean 1 = 144,  sample mean 2 = 129 population standard deviation 1 = 11,  population standard deviation 2 = 16 sample size 1 = 40, sample size 2 = 50 Answer:  Decision Rule : Reject H0 if  Zcal > citical value Z =  Test statistic: (Z calculated) Zcal =    (use 4 decimal places)Conclusion:    H0.

A statistical analysis is internally valid if: O A. all t-statistics are greater than |1.96|. O B. the population is small, say less than 2,000, and can be observed. OC. the regression R² > 0.05. O D. the statistical inferences about causal effects are valid for the population studied.

We have specified the “tailedness” of a hypothesis test for a population mean with null hypothesis H0: μ = μ0. a. draw the ideal power curve. b. explain what your curve in part (a) portrays. left-tailed