Which factors are relevant to the time a consumer spends looking at a product on the shelf prior to selection? The article "Effects of Base Price Upon Search Behavior of Consumers in a Supermarket" (J. Econ. Psycho., 2003: 637-652) reported the following data on elapsed time (sec) for fabric softener purchasers and washing-up liquid purchasers; the former product is significantly more expensive than the latter. These products were chosen because they are similar with respect to allocated shelf space and number of alternative brands. Calculate a 90% confidence interval for the true difference between the means for the two products.

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Explanation:

In this case we need to compute a 90% confidence interval for the true difference between the mean elapsed time (sec) for fabric softener purchasers and washing-up liquid purchasers.

It is provided that these products were chosen because they are similar with respect to allocated shelf space and number of alternative brands.

The (1 - α)% confidence interval for the true difference between the means, when the population standard deviations are not known, is given as follows:

Here,

The formula to compute the value of [pooled standard deviation is:

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