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The average amount of rainfall during the summer months for the northeast part of the United States is 11.52 inches. A researcher selects a

The average amount of rainfall during the summer months for the northeast part of the United States is 11.52 inches. A researcher selects a random sample of 10 cities in the northeast and finds that the average amount of rainfall for 1995 was 7.42 inches. The standard deviation of the sample is 1.3 inches. At a = 0.05, can it be concluded that for 1995 the mean rainfall was below 11.52 inches?

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