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?

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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 spoke 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?
2. In a previous research project for University of Maryland Eastern Shore, you
i wanted to know to what extent students were a morning person. Using a scale from
1 (not a morning person) to 7 (very much a morning person), you had a mean of
3.40 and a standard deviation of 1.47. You examine your data and find you have a
student named Julian with a raw score of 6.
2.a. What is that student's z score?
2.b. What percent of students are below Julian's z score?
2.c. What percent are above Julian's z score?
3. You have another student, Monika from your university study regarding whether
they are a morning person or not. Her raw score is 1.0.
3.a. What is Monika's z score?
3.b. What is the area (proportion) between Monika and Julian's Z scores?
3.c. What is the area below Monika's z score?
3.D What is the area above Monika's z score?
Transcribed Image Text: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 spoke 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? 2. In a previous research project for University of Maryland Eastern Shore, you i wanted to know to what extent students were a morning person. Using a scale from 1 (not a morning person) to 7 (very much a morning person), you had a mean of 3.40 and a standard deviation of 1.47. You examine your data and find you have a student named Julian with a raw score of 6. 2.a. What is that student's z score? 2.b. What percent of students are below Julian's z score? 2.c. What percent are above Julian's z score? 3. You have another student, Monika from your university study regarding whether they are a morning person or not. Her raw score is 1.0. 3.a. What is Monika's z score? 3.b. What is the area (proportion) between Monika and Julian's Z scores? 3.c. What is the area below Monika's z score? 3.D What is the area above Monika's z score?
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