Does the shape of the glass influence how fast a person drinks? As part of a larger study, some participants drank lager from a 12-ounce glass that was either curved or had straight sides. To distract them, they were told their task was to find words in a puzzle but they were videoed and the times they took to finish the drink were recorded.4 The summary statistics are

(a) Calculate s2pooled. Is it reasonable to pool variances in this case?
(b) Conduct a test of hypotheses with the intent of establishing that the mean time to finish drinking lager from the curved glass is the smallest. Take α = .025.

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Time (min) Straight Curved 20 Number Mean 19 11.30 Standard Deviation 4.43 7.12 4.78