The estimated fuel economy for a 2014 Toytoa Highlander 6 cylinder using premium fuel is a normally distributed random variable with a mean of 25.50mpg and a standard deviation of 2.25 mpg

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(1) What is the standard error of X, the mean from a random sample of 25 fill ups by one driver? (round your answers to 4 decimal places)

(2) Within what interval would you expect the sample mean to fall with a 98% probability? (round your answers to 4 decimal places)