2. It is known that the monthly income of salaried persons in a large city are normally dis- tributed with a standard deviation of 3600 Rs.. (a) A random sample of 9 individuals from this population is taken and it is found that their salaries are as follows: 44000, 41000, 43000, 42500, 43500, 41500, 41000, 46500, 35000 What is the probability that the average salary of the whole salaried population in the city lies somewhere between 40025 and 43975? (b) Your friends pick a different random sample of a different size and they actually con- clude that there is a 98% chance that the average salary of the salaried population of the city lies in the interval mentioned in previous part La, 40025 and 43975. How many individuals they must have picked in their sample? Based on your data of 9 individuals given above, your team member concludes that we can say claim that the average salary of the salaried population is more than 40000. Can you make this claim at a = 0.01 signicance level? Clearly state what Null hypothesis you will use