1. You are a sociologist studying children’s communication interaction with children 3 to 5 years in a laboratory setting. During your observations over the past year, you counted how many times a child spoke directly to another child in 90- minute settings. Jacob is a child in your laboratory study whose parents brought him to you for evaluation because they feared he was not developing socially. You recorded Jacob speaking with other children about 8 times in a 90-minute period. Your previous study had a speaking mean of 12 with a standard deviation of 4. From this we know Jacob spoke less often than the average of all children, but it is not extremely different. However, you need more details before making a recommendation to Jacob’s parents. Let’s standardize Jacob’s speaking interaction to your previous study. 1.a. Find the Z score for Jacob’s average speaking time. 1.b. What percent of children from the study are above Jacob’s Z score? 1.c. What percent are below Jacob’s Z score?
1. You are a sociologist studying children’s communication interaction with
children 3 to 5 years in a laboratory setting. During your observations over the past
year, you counted how many times a child spoke directly to another child in 90-
minute settings. Jacob is a child in your laboratory study whose parents brought
him to you for evaluation because they feared he was not developing socially.
You recorded Jacob speaking with other children about 8 times in a 90-minute
period. Your previous study had a speaking mean of 12 with a standard deviation
of 4.
From this we know Jacob spoke less often than the average of all children, but it is
not extremely different. However, you need more details before making a
recommendation to Jacob’s parents.
Let’s standardize Jacob’s speaking interaction to your previous study.
1.a. Find the Z score for Jacob’s average speaking time.
1.b. What percent of children from the study are above Jacob’s Z score?
1.c. What percent are below Jacob’s Z score?
Given that,
(1a)
The Z score for Jacob’s average speaking time is,
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