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A bank loan officer claims that the mean monthly mortgage payment made by all home owners in a certain city is $1365. A housing magazine

A bank loan officer claims that the mean monthly mortgage payment made by all home owners in a certain city is $1365. A housing magazine wanted to test this claim. A random sample of 100 home owners taken by this magazine produced the average monthly mortgage of $1489 with a standard deviation of $278. Using alpha = 5%, would you

conclude that the average monthly mortgage payment made by all home owners in this city is different from $1365?

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