An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. He believes that the mean income is $⁢22.2, and the variance is known to be  $⁢136.89. How large of a sample would be required in order to estimate the

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An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. He believes that the mean income is $⁢22.2, and the variance is known to be  $⁢136.89. How large of a sample would be required in order to estimate the mean per capita income at the  80% level of confidence with an error of at most  $⁢0.51? Round your answer up to the next integer.

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