A retailer that sells home entertainment systems accumulated 10451 sales invoices during the previous year. The total of the sales amount on these invoices as claimed by the company is Rs.63,84,675. In order to estimate the true total sales for last year, an independent auditor randomly selects 350 of the invoices and determines the actual sales amounts by contacting the purchasers. The mean and standard deviation of the 350 samples sales amounts are Rs. 532 and standard deviation 168. Find the point and interval estimate given that a 95% confidence is required. Do you think that the sales invoice claimed by the company is correct?
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