Pooled t By Hand

A researcher samples customers of an Amsterdam pizza restaurant: 20 who visit at the weekend and 20 different customers who visit on weekdays.

Group n mean spend (euro) sd (euro)
Weekend visitors 20 78 22
Weekday visitors 20 67 20

Spending is approximately normal and the two population variances may be taken as equal. Compute the pooled two-sample t statistic for the weekend minus weekday difference in mean spend.

Answer format: round to 3 decimal places.