If you think the null hypothesis is rejected in both cases, choose option c. If you think the null hypothesis is not rejected in either case, choose option d.

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Let X1 , ... , Xn be a sample from a normal distribution with expected value μX and variance σ2x .

Be X in addition to size Y1 , ... , Ym a sample from a normal distribution with expected value μY and variance σ2y . We want to test the null hypothesis μx = μy with a two-tailed counterhypothesis at a significance level of five Y percent. It is assumed that both population variances are known and the test variable corresponding to this situation is used. In which of the following cases (a/b) is the null hypothesis rejected?

If you think the null hypothesis is rejected in both cases, choose option c. If you think the null hypothesis is not rejected in either case, choose option d.
Choose one:
a. If the value of the obtained test quantity is greater than z0.025 .
b. If the value of the obtained test variable is -2.944.
c. Let's reject a and b in both cases.
d. Does not reject either a or b.

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