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Given the Following Information About a Hypothesis Test of the Difference

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Given the following information about a hypothesis test of the difference between two means based on independent random samples,which one of the following is the correct rejection region at a significance level of .05? HA: μA > μB,
Given the following information about a hypothesis test of the difference between two means based on independent random samples,which one of the following is the correct rejection region at a significance level of .05? H<sub>A</sub>: μ<sub>A</sub> > μ<sub>B</sub>,  = 12,   = 9,s<sub>1</sub> = 4,s<sub>2</sub> = 2,n<sub>1</sub> = 13,n<sub>2</sub> = 10. A)  Reject H<sub>0</sub> if t > 1.96. B)  Reject H<sub>0</sub> if t > 1.645. C)  Reject H<sub>0</sub> if t > 1.721. D)  Reject H<sub>0</sub> if t > 2.08. E)  Reject H<sub>0</sub> if t > 1.782.= 12,
Given the following information about a hypothesis test of the difference between two means based on independent random samples,which one of the following is the correct rejection region at a significance level of .05? H<sub>A</sub>: μ<sub>A</sub> > μ<sub>B</sub>,  = 12,   = 9,s<sub>1</sub> = 4,s<sub>2</sub> = 2,n<sub>1</sub> = 13,n<sub>2</sub> = 10. A)  Reject H<sub>0</sub> if t > 1.96. B)  Reject H<sub>0</sub> if t > 1.645. C)  Reject H<sub>0</sub> if t > 1.721. D)  Reject H<sub>0</sub> if t > 2.08. E)  Reject H<sub>0</sub> if t > 1.782.= 9,s1 = 4,s2 = 2,n1 = 13,n2 = 10.

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Definitions:

Sample Mean

The average of a subset of a population, used to estimate the population mean.

Historical Standard Deviation

A measure of the amount of variation or dispersion of a set of historical data points, indicating how much the data points diverge from the historical mean.

Standardized Test

A test that is administered and scored in a consistent manner to ensure legal defensibility and fairness in measuring educational or cognitive abilities.

Test Statistic

A numerical value calculated from a statistical test's sample data, used to determine whether to reject the null hypothesis in the context of the test.

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