An investigator randomly sorts 17 participants’ anxiety scores into three groups, no anxiety, low medium anxiety, and high anxiety. Each participant was interviewed and was rated from 0 to 100. At the end of the study, each subject’s ratings are across all three groups. 

The below data gives these scores for each subject in each group. 

No anxiety low-medium anxiety high anxiety 52 66 63 46 49 65 62 64 58 48 53 70 57 68 71 54 73

a) Is the data normally distributed? Provide reasons for your answer 

b) Determine if the three groups’ scores are the same? Hence, write a summary of what the results show.