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why is it two tail for #21, is it due the variances assumed not being equal. i t

ID: 2932920 • Letter: W

Question

why is it two tail for #21, is it due the variances assumed not being equal. i thought it would be one tail.

MULTIPLE CHOICE Choose the SCENARIO 10-13 e one alternative that best completes the statement or answers the question that The amount of time required to reach a the Excel output from a study customer service hotels are not equal there is representative between two hotels. y to see whether there is evidence of a difference in the mean amounts of time required to readh customer service representative has a huge impact on customer serv Assume that the population variances in the amount of time for the two Variance Hypothesized Mean Difference 2.214 2.951657 Hotel 2 t Stat P(Tct) one-tai 3.57855 20 0.354386 0.362504 1.685953 0.725009 2.024394 t Critical two-tail 21) Referring to Scenario 10-13, what is(are) the critical value(s) of the relevant hypothesis test if the level of significance is 0.05? A) :2.0244 C) 2.0244 22) Referring to Scenario 10-13, what is the value of the test statistic? 21) A) 02025 D) ±1.6860 B) 2.2140 C) 2.0115 D) 0.3544 22)

Explanation / Answer

For understanding if a test is a 2 tail or 1 tail one has to check the 'claim'.and then define the hypothesis.

The hypothesis here is :

Ho: Mu1-Mu2 = 0 ( claim: in the question its mentioned 'evidence of a difference in mean...)
Ha: Mu1-Mu2 !=0

When you have only equality in the null hypothesis, then it is a 2 tailed test.
The question hasn't asked us to test whether Mean of 1 sample is more than other'. So
it is not a directional test.

That' why it is a 2 tailed test and not a 1 tailed test.