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For the conventional (Student\'s) t-test for two population means, as the sample

ID: 3313361 • Letter: F

Question

For the conventional (Student's) t-test for two population means, as the sample size for one of the populations goes to infinity, the test becomes equivalent to what other statistical test? (Hint: Look at the formula for the conventional two-sample t-statistic for population means and simplify given that either n1 or n2 just choose one of them) goes to infinity.) a. A one-sample mean z-test b. A one-sample mean t-test with an infinite number of degrees of freedom c. A Welch modified t-test for two means d. A one-sample test for a proportion e. A & B

Explanation / Answer

here as one sample for one of population goes to infinity then its parameter become population paramter which we are checking with other population statistic whcih is the case for a one sample mean z test or for a one sample t-test wirh an infinite degree of freedom

hence option e(A and B is correct)