An economist would like to estimate the average household income in Okechobee county. The mean household income of a random sample of 260 families in Okechobee county was found to be $37,795. The standard deviation of the household incomes of all households in Okechobee county is known to be $919. Using a 95% confidence level, determine the margin of error, E, and a confidence interval for the average household income in Okechobee county. Report the confidence interval using interval notation. Round solutions to two decimal places, if necessary.The margin of error is given by E=. A 95% confidence interval is given by

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