please help me with a,b,c and d!

:26 points) You are interested in whether a class transitioning to online instruction leads to a larger variance in :cores. You collect data from a class with 20 students that has gone online, and nd that the sample standard leviation of their scores is 12.78. You know that scores follow a normal distribution and are independent. (a) (6 points) Write down a formal one-sided hypothesis test that the population variance of going online is the same as the variance of inperson instruction. Iii-om previous years, you know that the standard deviation for inperson instruction is 10.53. (b) (7 points) Conduct your hypothesis test at the 5% signicance level (onesided). (c) (6 points) What is the probability of making a Type-1 error? ((1) (7 points) What is the Smallest sample standard deviation for online instruction that would cause us to reject the null hypothesis