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An advertising agency wants to study the levels of listening to 6 locals TV stations belonging...

An advertising agency wants to study the levels of listening to 6 locals TV stations belonging NNN network in order to decide to these local stations to broadcast their adv. This is done by selecting a sample of 30 families and to measure the levels of listening stations belonging to the network with the system auditel. N=30 and the sum of Xi=204. S^2=57.63. The advertising agency thinks it is convenient to use the network of broadcasters to transmit adv messages if the mean audience is greater than 3. To this end, we want to test the hypothesis test H0: mu<3 vs H1: mu>3 at alpha=0.01.

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