A reporter bought hamburgers at randomly selected stores of two different restaurant chains, and had the number of Calories in each hamburger measured. Can the reporter conclude, at α = 0.05, that the hamburgers from the two chains have a different number of Calories?
Chain A Chain B
Sample size 5 9
Sample mean 230 Cal 285 Cal
Sample standard deviation 23 Cal 29 Cal
A) No, because the test value -0.28 is inside the noncritical region -2.306 < t < 2.306
B) Yes, because the test value -0.28 is inside the noncritical region -2.776 < t < 2.766
C) Yes, because the test value -3.90 is outside the noncritical region -22.776 < t < 2.776
D) No, because the test value -1.26 is inside the noncritical region -2.306 < t < 2.306