There are two images attached below with all parts to the problem.

c. Determine the rejection region for this hypothesis test, in terms of the test statistic. d. Also determine your rejection region in terms of x. That is, convert the region(s) you found in (c) to report x alone on one side. e. Compute the value of the test statistic from the data given. Determine the P-value of your hypothesis test, and state the result of the test. f. Compute the probability of a Type II error of this hypothesis test, if the true mean concentration of PAHs in the soil is actually 7.3 ng/g. Hint: use the rejection region you found in part (d) above. Also: If you did not get an answer for part (d), you may assume that the incorrect value marking the border of the rejection region (in terms of x) is 7.1 ng/g. If you do that but everything else is right, you will earn all points for part (f). Edit View Insert Format Tools Table 12pt ~ Paragraph BI U A & T V itvQuestion 5 13 pt A recent scientific paper reported on the contamination of soil in the tar sands region of Canada. The scientists wanted to determine whether there is evidence that the concentration of polycyclic aromatic hydrocarbons in the soil (PAHs, measured in nanograms per gram of soil, ng/g) has increased in the last 50 years. In 1971, the level of PAHs in the soil was found to be 7 ng/g. The scientists measured the PAH levels in 65 soil specimens, with a sample mean of 7.2 ng/g and sample standard deviation of 1.5 ng/g. Conduct a hypothesis test to determine if the true mean concentration of PAHs has increased significantly since 1971. Suppose we will use a significance level of a = 0.01 for this hypothesis test. Enter your answers to parts (a) and (b) in the space below. Including work about these parts on your solutions later is optional. a. State your hypotheses. b. What test statistic is most appropriate here, and what probability distribution does it follow? at tv O ul T