hello. If I could get some help for these two questions that would be great! Im just a little confused.

A sociologist develops a test to measure attitudes about public transportation. She wishes to estimate the mean score on this test. In a preliminary study, the standard deviation of these test scores was found to be 27. If she wants to estimate the mean score within a margin or error of 2 with 95% confidence, what is the minimum sample size she needs? Select one: O 701 O 1283 52 358 2690A researcher wants to see if the proportion of employees who taking bus to work in a company is the same for 10 selected departments. She took a random sample of 96 employees from each selected departments and after carrying out an appropriate hypothesis test, she found a test statistic of 21.0. What is the distribution of this test statistic and what is the appropriate P-value range for the test? Select one: O t-distribution with df = 9; P-value > 0.10 O F-distribution with dff = 9 and df2 = 86; 0.01