Name: A group of researchers are investigating whether social interactions can b

Question

Name: A group of researchers are investigating whether social interactions can be used to diagnose children on the previous researchers (-15), and implementing it by compiling observations in a preschool classroom with both autism-diagnosed and non-diagnosed children (control). The higher the autism spectrum. They are using a 'sociality score' that has been developed by score, the more social a child is. The following are the sociality scores of each group: Control Autism-spectrum l 6 7 15 14 16 19 29 12 6 Answer the following questions. Attach this cover sheet to your homework when you hand it in. You must show your work in order to get full credit. Use full sentences when answering. Are there any outliers in either group? Use the interquartile range and a boxplot for each group to support your response 1. 2. Based on the data, would a score of S be more extreme in the Autism-spectrum or the Control group? Use z-scores to make your case. o-1.5 whichis more 3. Based on the data, what would an X-score of 1S be in terms of z-scores for each group? What does that tell you about an X-score of 15 as it relates to each group?

Explanation / Answer

Z-score is defined as:

Z = X - mean / SD

The z-score for x-score of 15 has been as shown above.

It shows, z-score = 3.08 in case of autism-spectrum.

The value is above 3 and hence can be considered as an outlier. The value of 15 would be considered as an outlier for the autism spectrum but not for the control group.

Hope this helps. ask if you have any doubts.

Autism Control 6 8 2 9 8 7 12 15 5 14 6 16 3 19 7 29 5 3 Mean 6.000 13.333 SD 2.915 7.762 Z-score (15) 3.086974533 0.21471888

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