Problem #1 Answer the following questions (0.5 pts each) (Total 2.0 points) (a) For a two-sided test of hypothesis of a single parameter with population variance known, If the test statistic is 1.85, what is the p-value? Answer here---> (b ) You are buying a rubber gasket seal for a compartment of a rocket carrying people. The quality (strength to withstand pressure) of the gasket seal is in question, as gasket failure may mean loss of lives. Your decision to buy the gasket from a vendor will have Type I (a) and Type II (B) errors. Which error will you be more careful about and why? Answer here---> (c ) What are the two ways to reduce Type II (B) error in hypotheses testing? Answer here---> (d ) For one-sided (right) test of hypothesis on the mean (u) with population std. deviation (o) known, if the critical value to compare the test statistic with is 1.87, what is the value of a in this test? Answer here-..>