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Matched pair t test

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10. a restaurant manager wants to compare mean daily sales between two of his restaurants located several miles apart in the same city. For a one-week period the following sales data are recorded.
Sunday: restaurant 1 (1916) restaurant 2 (1771)
Monday: restaurant 1(991) restaurant 2 (904)
Tuesday: restaurant 1 (1112) restaurant 2 (996)
Wednesday: restaurant 1 (1212) restaurant 2 (1258)
Thursday: restaurant 1(1461) restaurant 2 (1385)
Friday: restaurant1 (2017) restaurant 2 (1867)
Saturday: restaurant 1(2406) restaurant 2 (2192)
a.Explain why these data can be considered matched pairs.
b.Test the hypothesis that the mean daily sales for restaurant 1 is higher. Use alpha = .005

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The solution provides step by step method for the calculation of matched pair t test. Formula for the calculation and Interpretations of the results are also included.

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10. A restaurant manager wants to compare mean daily sales between two of his restaurants located several miles apart in the same city. For a one-week period the following sales data are recorded.
Sunday: restaurant 1 (1916) restaurant 2 (1771)
Monday: restaurant 1(991) restaurant 2 (904)
Tuesday: restaurant 1 (1112) restaurant 2 (996)
Wednesday: restaurant 1 (1212) restaurant 2 (1258)
Thursday: restaurant 1(1461) restaurant 2 (1385)
Friday: restaurant1 (2017) ...

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