Acompany produces a women's bowling ball that is supposed to weigh exactly 14 pounds. unfortunately, the company has a problem with the variability of the weight. in a sample of 12 of the bowling balls the sample standard deviation was found to be 0.65 pounds. construct a 95% confidence interval for the variance of the bowling ball weight. assume normality. a) what is the lower limit of the 95% interval? give your answer to three decimal places. b) what is the upper limit of the 95% interval? give your answer to three decimal places.

The following transactions and events that occurred in the village of kowitt gorge during the calendar year 2019: 1. the village commissioners adopted the following budget: estimated revenues: property taxes $1,850,000 all other revenues 300,000 total revenues $2,150,000 appropriations: all departments other than police $1,000,000 police—salaries 600,000 police—fringe benefits 450,000 police—supplies 80,000 total appropriations $2,130,000 2. the village received, in cash, property taxes of $1,840,000 and all other revenues of $295,000. 3. the village made cash payments, charging the following appropriations: all departments other than police $1,000,000 police—salaries 595,000 police—fringe benefits 390,000 4. the administrator of fringe benefits received an invoice for police employee health insurance in the amount of $95,000, together with a letter from the insurance provider, explaining that the large increase was caused by a change in federal laws. the invoice could not be paid because the police—fringe benefits appropriation had a balance of only $60,000 (appropriation of $450,000 minus expenditures in item 3 of $390,000). as a result, the village commissioners amended the budget as follows: increase: appropriation for police—fringe benefits $35,000 decrease: appropriation for police—salaries 5,000 decrease: appropriation for police—supplies 25,000 use of fund balance 5,000 5. the village paid the invoice for $95,000, referred to in item 4 above, charging the appropriation for police—fringe benefits. 6. the police department placed po 2019a for firearms in the amount of $30,000 and po 2019b for uniforms in the amount of $20,000, all charged to the appropriation for police—supplies. (enter these pos as one transaction.) 7. after receiving po 2019a, the supplier notified the police department that a change in the design of the weapons would increase the cost to $32,000. the department sent the supplier an amended po, increasing it by $2,000. 8. the police department received the uniforms ordered on po 2019b, together with an invoice for $20,000. the department approved the invoice for payment. record the transactions and events applicable to the appropriations for police—fringe benefits and police—supplies in the following appropriations ledger. notes: use a negative sign with your answers if: 1. the amount entered in the appropriation column is a debit (dr.) rather than a credit (cr.); or 2. the amount entered in the expenditures column is a credit (cr.) rather than a debit ( in the available appropriation column, enter the appropriate balance after every transaction/event, even if a transaction isn't recorded in a particular ledger for that transaction. for transaction 6, enter both purchase orders (pos) as one combined transaction. appropriations ledger appropriation: police - fringe benefits appropriation encumbrances expenditures available transaction cr. dr. cr. dr. appropriation 1 answer 0 answer 0 answer 0 answer 0 answer 0 2 answer 0 answer 0 answer 0 answer 0 answer 0 3 answer 0 answer 0 answer 0 answer 0 answer 0 4 answer 0 answer 0 answer 0 answer 0 answer 0 5 answer 0 answer 0 answer 0 answer 0 answer 0 6 answer 0 answer 0 answer 0 answer 0 answer 0 7 answer 0 answer 0 answer 0 answer 0 answer 0 8 answer 0 answer 0 answer 0 answer 0 answer 0 appropriations ledger appropriation: police - supplies appropriation encumbrances expenditures available transaction cr. dr. cr. dr. appropriation 1 answer 0 answer 0 answer 0 answer 0 answer 0 2 answer 0 answer 0 answer 0 answer 0 answer 0 3 answer 0 answer 0 answer 0 answer 0 answer 0 4 answer 0 answer 0 answer 0 answer 0 answer 0 5 answer 0 answer 0 answer 0 answer 0 answer 0 6 answer 0 answer 0 answer 0 answer 0 answer 0 7 answer 0 answer 0 answer 0 answer 0 answer 0 8 answer 0 answer 0 answer 0 answer 0 answer 0 answer 0 answer 0 answer 0 answer 0 answer 0