In Great Britain, the Time Use Survey17 studied how a random sample of Brits spend their time on a typical day. For those who reported working full time, Table 7.18 reports the mean and standard deviation of the reported average number of minutes per day spent on cooking and washing up.

(a) Estimate the difference between the means for women and men, and find its standard error.

(b) Compare the population means using a two-sided significance test. Interpret the P-value.