What affects the time a consumer spends looking at a product on the shelf prior to selection? The following data summarized elapsed time (in seconds) for purchasers of fabric softener and washing-up liquid; the former is much more expensive than the latter. These products were chosen because they’re similar with respect to shelf space and number of brands available.

a. What assumptions, if any, are necessary for the inferential procedures of this section to be valid in this situation? Why?
b. Assuming that σ₁ = σ₂ = 8.5 s, test to see if there is a significant difference in the true average time purchasers spend looking at these two products, at the α = .01 significance level.

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Product Fabric softener Washing-up liquid Sample size 15 19 Sample mear 30.42 26.53