In a 1998 advertising campaign, the Nabisco Company announced a "1000 Chips Challenge," claiming that their 18-ounce bags of their Chips Ahoy cookies contain at least 1000 chocolate chips on average. Sixteen dedicated statistics students purchased some randomly selected bags of cookies and counted the chocolate chips. Their data are given below.

11221058113010521117109110611092
11591087112911381007115311651046

Find a 95% confidence interval for the mean number of chips in a bag of Chips Ahoy Cookies. Use interval notation, smaller number first, with each number rounded to the nearest whole number.

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Based on this confidence interval, is the Nabisco Company justified in making this claim?