There is emerging evidence of a relationship between timing of feeding and weight regulation. In one study, researchers followed 402 obese or overweight individuals through a 20-week weight-loss treatment. To investigate the timing of food intake, participants were grouped into early eaters and late eaters, based on the timing of their main meal. Here are the summary statistics of their weight loss over the 20 weeks, in kilograms (kg):
Group n x^- s
Early eater 202 9.9 5.9
Late eater 200 8.1 6.1
a) Calculate (+_ 0.001) the pooled standard deviation and the pooled standard error for the two groups in terms of fats consumed.
Sp = , SED =
b) Calculate (+_ 0.001) the pooled t test statistic, df, P-value and perform the significance test using α = 0.05.
t = , df = , P =
O there is no evidence of a difference in mean fat consumption for the two groups
O there is evidence of a difference in mean fat consumption for the two groups