1. Polychlorinated hiphenyls [PCBs] have been found to he dangeroust 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 he dangerous for human consumption. A sample of 38 game birds produced an average of T.2 ppm with a standard deviation of 6.2 ppm. Is there suil'lcient evidence to indicate that the mean ppm of PCBs in the population of game birds exceeds the FDA's recommendation limit of 5 ppm? Use o = CLUE. (a) 'What is the level of signicance? State the null and alternate hypotheses. Will you use a lefttailed, righttailed, or twotailed test? (h) Identify the sampling distribution you will use: the standard normal or the Students t. Explain the rationale for your choice. [c] Find the critical value. Draw the hell curve labeling area under the curve, critical values, fail to reject region, and rejection regionfs. (d) What is the value of the sample test statistic? (e) Use critical value method to perform hypothesis testing. Do you reject the null hy- pothesis ? or fail to reject null hypothesis ? Why ? (f) Find (or estimate) the p-value. Sketch the sampling distribution and show the area corresponding to the p-value.{g} Based on the pvslne, will you reject or fail to reject the null hypothesis? Interpret your decision in the context of the application