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4. (25 points) The average weight of new born babies at a hospital is stated to be 6.6 pounds. A sample of seven babies is randomly selected and their weights are recorded as 9.0,7.3,6.0, 8.8,6.8, 8.4, and 6.6 pounds. Given that the sample variance is 1.386, test if the average weight is equal to 6.6 pounds at 5% level of significance.
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