A money market mutual fund manages a $ 100 crores fund invested in money market securities. It has assessed its average daily cash needs as 10% of the corpus to meet the redemption pressure even in difficult times. Last 100 days average was found to be 10.08% of the corpus. The experience of mutual fund manager has revealed the standard deviation of average daily cash balance as 30 lakhs $ He wants to find out whether or not his last 100 days average cash balance is within the limits of 10% at a level of significance of 5%. How can you help him ?

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