a). It is observed that average life of product 'A' follows normal distribution. Manufacturer of product 'A' claims that average life of the product is at least 120 months with variance 25 months. A random sample of 10 of these is with mean 125 months and standard deviation 4 months. Validate the claim of the manufacturer at 5% level of significance. [5M] b).Consider the following data related to education loan taken or not for pursuing higher education. Formulate a suitable hypothesis and validate it by using an appropriate statistical procedure. [5M] Education Loan Boys Loan taken ken Not taken 1-82300 23 Girls 02 100 150 212/20225004