The weights of paint cans of a particular brand present a normal distribution. However, a customer doubts that the cans contain lesser quantity than what is written on the can packaging. He randomly selects 7 cans and finds the following weight in grams:

Construct a 95% confidence interval for the population mean, and suggest the possible reasons for the difference in intervals.

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3.1, 3.4, 3.0, 3.5, 3.2, 3.3, 1.5