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A coffee shop chain wants to compare the average daily sales of two different branches, Branch X and Branch Y.
  • Branch X (\(n_1=30\) days): Mean \(\bar{x}_1 = \dollar 1500\), Standard deviation \(s_1 = \dollar 200\).
  • Branch Y (\(n_2=30\) days): Mean \(\bar{x}_2 = \dollar 1420\), Standard deviation \(s_2 = \dollar 180\).
Test at the \(5\pourcent\) significance level whether there is a significant difference in the daily sales between the two branches.
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