(20%) Polychlorinated biphenyls (PCBs) have been found to be dangerously high in some game birds found...

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(20%) Polychlorinated biphenyls (PCBs) have been found to be dangerously high in some game birds found along the marshlands of the southeastern coast of the United States. The Federal Drug Administration (FDA) considers a concentration of PCBs higher than 5 parts per million (ppm) in these game birds to be dangerous for human consumption. A sample of 38 game birds produced an average of 7.2 ppm with a standard deviation of 6.2 ppm. (b) Calculate the type II error if the true mean ppm of PCBs is 6 ppm. (c) Calculate the decision power when the true mean ppm of PCBs is 7 ppm. (d) For what values of the true mean ppm of PCBs does the test in (a) have power greater than or equal to 0.90? (20%) Polychlorinated biphenyls (PCBs) have been found to be dangerously high in some game birds found along the marshlands of the southeastern coast of the United States. The Federal Drug Administration (FDA) considers a concentration of PCBs higher than 5 parts per million (ppm) in these game birds to be dangerous for human consumption. A sample of 38 game birds produced an average of 7.2 ppm with a standard deviation of 6.2 ppm. (b) Calculate the type II error if the true mean ppm of PCBs is 6 ppm. (c) Calculate the decision power when the true mean ppm of PCBs is 7 ppm. (d) For what values of the true mean ppm of PCBs does the test in (a) have power greater than or equal to 0.90?