Answer the following questions: Describe the testing procedure to test `H_0 : sigma = sigma _0` (specified) against `H_1 : sigma > sigma_0`, when `mu` is unknown in case of a `N(mu, sigma^2)` population.

Answer the following questions in short: Discuss the concept of 3- sigma imits in the construction of control charts.

Answer the following questions in short: Show that points of inflexion of a normal curve are at x = mu +- sigma .

Answer the following questions: Why 3sigma limit is important for construction of control chart?

Answer the following questions : If x_1,x_2,..x_n are independent observations form an infinite population With mean mu and variance sigma^2 , then show that sample mean barx is an unbiased estimator of mu .

What is the no. of sigma and pi bonds presents in a molecule of H_2SO_4 ?

What is the total no of sigma and Pi bonds in the following molecules. C_2H_2

What is the total no of sigma and Pi bonds in the following molecules. C_2H_4

A hollow charged conductor has a tiny hole cut into its surface. Show that the electric field in the hole is (sigma//2epsilon_0)overset^n ,where overset^n is the unit vector in the outward normal direction, and sigma is the surface charge density near the hole.

Find out the correct answer out of the options given against each question: Rejectying H_0 , when it is true, is-