Some accounting firms give the client an option to pay an additional fee when doing their tax return, that guarantees company support should the client be audited. A large accounting firm would like to update their fee for this type of service. In previous years, the average cost to the firm for being involved in a client audit was $679. To determine if this cost has changed, the firm randomly samples 42 clients who got audited. The average audit cost for this sample of clients was $727 with a standard error of $10.96. (a) Compute a 99% confidence interval for the true average involvement cost for all client audits for this company: (Use 4 decimals.) ($ ,$ ) (b) Based on the above interval, should the firm conclude the average audit involvement cost is different than $679