according to the us energy information administration, the average household exp

Question

according to the us energy information administration, the average household expenditure for a natural gas was $679 in the winter of 2013. Suppose that a random sample of 50 customers shows a mean expenditure of $712 and assume that the population standard deviation is $80. Test whether the population mean expenditure is greater than $679 using level of significance at=0.05. State the P value and conclusion. The answer is p-value = .00018; the mean expenditure is greater than $679 BUT I DON'T UNDERSTAND HOW TO GET TO THIS ANSWER, NEED HELP SHOWING THE TEST AND CALCULATION

Explanation / Answer

Ho : miu = 679

Ha : miu > 679

Z = ( 712 - 679 ) / ( 80 / srqt 50 )

Z = 2.92

using table of normal distributon Z

p value : 0.00018

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