1. An experiment compared the ability of a group of chefs versusamateur cooks to taste spices in a dish. The researchers recordedthe total number of spices each person identified and calculatedthe statistics below. Group n Mean Variance Chefs 10 8.3 1.3Amateurs 10 5.5 3.1 (a) Calculate the 99% confidence interval forthe difference between the means of the two groups. (b) Do youthink the mean difference between the groups in the populationcould be 0.5? Why or why not? z-scores Confidence z Interval 80%1.282 85% 1.440 90% 1.645 95% 1.960 99% 2.576 99.5% 2.807 99.9%3.291 t-scores df 0.95 0.99 2 4.303 9.925 5 2.571 4.032 6 2.4473.707 7 2.365 3.499 8 2.306 3.355 9 2.262 3.25 10 2.228 3.169 182.101 2.878 19 2.093 2.861 20 2.086 2.845 21 2.080 2.831
