A study was conducted to assess the effectiveness of treating vertigo (motion sickness)

with the transdermal therapeutic system

(TTS; a patch worn on the skin). Two other treatments, both oral (one pill containing a drug and one a placebo), were used. The age and the gender of the patients for each treatment are listed here.

TTS Antivert Placebo 47-f 53-m 51-f 43-f 67-f 38-m 41-f 58-f 53-f 56-f 52-m 59-m 63-m 62-f 27-m 48-m 47-m 33-f 59-f 34-f 29-f 52-f 35-f 32-f 62-f 47-f 31-f 19-f 37-f 26-f 24-m 35-f 25-f 31-f 40-f 37-m 43-m 34-f 52-f 48-f 31-f 49-f 20-m 63-m 55-f 53-m 45-f 49-m 55-f 46-f 32-f 63-m 41-f 38-f 51-f 54-m 49-m 21-f Is there a significant difference between the mean age of the three test groups? Use   0.05. Use a computer or calculator to complete this exercise.

a. Solve using the p-value approach.

b. Solve using the classical approach.