Observed raw data and sampling distributions assuming HO is true A Observed raw data B Distribution of the random variable C Distribution of the random variable that generates raw data that generates the test statistic population standard deviation ox unknown 0.4 - 30 - x_observed = { 2.57 2.63 6.87 0.15 4.71 0.3- 5.38 20 10.47 5.89 11,79 0.10 ).2- 10.7 Probability Density f(t = tobs) Probability Density f(X - x) 5.81 10 - 0.05 0.1 - 0.00 - 0.0 - 7.5 10.0 -2.5 0.0 2.5 5.0 7.5 10.0 12.5 -3 -2 -1 1 2 3 X tobs . Which of the following random variables most likely generated the observed raw data? O X - Bernoulli(P) O X ~ Binomial(n, P) O X - N( H, C ) ox ~ t(df) . The random variable that generates the raw data is fully characterised by what parameter value(s)? OP Op,n of What is the population mean of X? 5.0 What is the expected value of X? 9.994 . What is the population variance of X? If it is unknown, enter -1. What is the sample mean of the observed raw data? 6.682 What is the sample variance of the observed raw data? . What is the observed value of the test statistic? . What is the p-value of this test given H1 : u C? .0000003719 What is the critical value of this test (i.e., the value that ensures that type | error is less than or equal to 0.05)