The Mars team must examine penetration ratings for any materials they use. A random sample of 7 specimens of titanium hydroxide gave the following penetration ratings: 16.7, 19.0, 23.5, 17.1, 19.4, 28.0, 20.3 Penetration ratings are known to be normally distributed. with unknown mean of ,u hours and an unknown standard deviation 0' hours a) Calculate the sample median for this data. [:] b) Calculate the sample mean for this data.. C] c) Calculate the sample standard deviation for this data. C] d) Calculate the maximum likelihood estimate for 52 using this data. C] e) Calculate an unbiased estimate for 0'2 using this data. :] f) Suppose W has a t distribution with 6 degrees of freedom. If P(W > t) = .04 then what is t? Z] 9) Suppose W has a t distribution with 6 degrees of freedom. If P(W