The resistance R of a cylindrical battery cell is known to be Gaussian distributed with mean "R and variance o. That is R~ N(HR, OR). Ten resistance measurements from a battery are given below. measurement (i) 1 2 3 5 6 7 Resistance (R(i))| 12.7 10.4 9.9 9.9 8.4 10.2 9.1 In the above table, it is known that each resistance R(i) ~ N(HR, OR), i= 1,..., 10. (a) Compute the sample mean R = (1/10) ER(i) based on the above ten measurements. (b) Compute the sample variance 52 = (1/10) 1 (R(i)-R) based on the above ten measure- 8 9 10 11.7 7.8 7.9 ments. (c) Show that o = E((RR)) = E(R) - (E(R)) (d) Compute sample variance 52 using an alternate approach based on (c) (e) Someone tells you that sample mean is a measure of the true mean. Prove or disprove it by deriving the expected value of the sample mean E(R).