An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California. He believes that the mean income is$24.7

$24.7, and the standard deviation is known to be$7.7

$7.7. How large of a sample would be required in order to estimate the mean per capita income at the99%

99%level of confidence with an error of at most$0.43

$0.43? Round your answer up to the next integer.