Instruction: Determine the appropriate test and apply the steps/procedure in hypothesis testing which leads to decisions of either accepting or rejecting some statements about the population.

1. It was believed that implementing strict measures is key in reducing the spread of a new virus. A random selection of 50 regions with relaxed measures and 55 regions with strict measures were surveyed how many cases they have. It was found that among regions with relaxed measures, the average number of cases per million is 50,000 with standard deviation of 35,000. Among regions with strict measures, the average number of cases per million is 60,000 with standard deviation of 30,000. Using 5% level of significance, conduct a hypothesis test to determine if strict measures is effective in reducing cases in regions with lower standards of living.

a) In words, define the random variable X1 = ___________ and X2 = ___________

b) Null Hypothesis

c) Alternative Hypothesis

d) The level of significance is ___________

e) Determine the test statistic using the data (show solution).

f) Provide the decision rule of the test.

g) Decision: ___________

h) Conclusion