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Beavis and Butthead, two quality-control technicians at Neverland Sweets Company, are trying to establish if there...

Beavis and Butthead, two quality-control technicians at Neverland Sweets Company, are trying to establish if there is a difference in the taste of milk shakes from two of their favorite fast-food restaurants. In order to figure out a solution to this problem, they proceeded to ask 10 of their closest friends to rank the milk shakes, obtaining the data below.

                              McDonald’s                                                 Burger King

  6.2                                                                   5.3

                                    8.1                                                                   4.2      

                                    7.9                                                                   3.5

                                    4.8                                                                   8.9

                                    5.8                                                                   6.9

                                    4.8                                                                   9.2

                                    3.2                                                                   7.2

                                    7.1                                                                   6.3

                                    1.3                                                                   8.5

                                    7.5                                                                   2.5

Calculate a 95% confidence interval on the difference mean for these paired data.

With 95% confidence, what is the left-value of the two-sided confidence interval on the difference mean?

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