When conducting a hypothesis test about the relationship between two population

Question

When conducting a hypothesis test about the relationship between two population means using small samples the test can be conducted either 1 assuming the samples are drawn from populations that have equal variances or 2) assuming the samples are drawn from populations whose variances are unequal. Which of the following are true statements? A. If the F test Two Sample for Variances is used to analyze the data to and the results are used to conduct a hypothesis test to determine whether the population variances and e3qual unequal, you will definitely know whether the populations sampled from have equal variances or net. If the F test Two sample for Variances is used to analyze the data and the results are used to conduct a hypothesis test to determine whether the population variances are equal or unequal, even if the null hypothesis is rejected it is possible the population variances are actually equal If the test Two sample for Variances is used to analyze the data and the results are used to conduct a hypothesis test to determine whether the population variances are equal or unequal even if the null hypothesis is not rejected is possible the populations variances are actually unequal B & C

Explanation / Answer

For the given scenario assuming equal population variance or unequal population variance is:

Option D i.e. B & C is suitable.

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