4. The UN Security Council wants to determine the mean number of peacekeeping personnel that member countries contribute. A random sample of 30 contributing countries is selected. In this sample, the mean number of peacekeeping personnel a country contributes is 950, and the standard deviation is 1600. The Security Council would like to test whether the true mean is 800. If the significance level is set at .05 and if the Security Council wants to detect both positive and negative departures from the hypothesized figure of 800, are these data consistent with the Security Council's hypothesis?5. Consider the following hypothesis test. H.331 = 36.1 Ha: ,u as 36.1 A sample of 50 items will be taken and the population standard deviation is [5 =12.2. Use o = .05. Compute the probability of making a Type 11 error if the population mean is: a} p: 32.5 b} p: 38