Individual consumers reportedly pay, on average, 400 rupees a month, with a standard deviation of 25 rupees, according to a telecom service provider. Fifty random client bills from a given month are selected, with a mean of 250 and a standard deviation of 15. What should be said about the claim made by the service provider? (i) Write out the Null and Alternative Hypotheses in symbols and words. (ii) Using a test statistic, test the hypothesis at the 5% level of significance. (iii) State your conclusion using the context of the problem.