3 of 14 Next > To see what might be happoning when we rogroup data, consider an experiment that takes 12 subjects and divides them into 2 groups at random. The pontrol group contains 6 subjects and the treatment group contains 6 subjects. To explore what's possible, assume the control group rsuits in the data: 1, 3, 4, 6, 8, and 10. The treatment group results in the data: 2, 5, 7, 9, 11, and 12. Find the differonce in means for the original groups by subtracting the control group mean from the troatrmont group mean. With a smaller data set like this, we can actually consider all of the different arrangements of the data. Thore aro 924 distinct ways to separate the 12 valuos into 2 groups of 6. The frequency table shows all the possible differences in means and how often they occur. Notice that a difference in means of 4.33 occurs 7 times and a difference of -4.33 also occurs 7 times. The dot plot shows the same information. 6 54 3 210 1 23 4 56 difference in means What proportion of possible groupings have a difference at least as great as the difforenco in means for tho original groups? Explain or show your reasoning. Difference in means Frequency

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To see what might be happoning when we regroup data, consider an experiment that takes 12 subjects and divides them into 2 groups at random. The
control group contains 6 subjects and the treatment group contains 6 subjects. To explore what's possible, assume the control group resuits in the data: 1,
3, 4, 6, 8, and 10. The treatment group results in the data: 2, 5, 7, 9, 11, and 12,
Find the difference in means for the original groups by subtracting the control group mean from the treatrment group mean.
With a smaller data set like this, we can actually consider
all of the different arrangements of the data. There are
924 distinct ways to separate the 12 values into 2 groups
of 6. The frequency table shows all the possible
differences in means and how often they occur. Notice
that a difference in means of 4.33 occurs 7 times and a
difference of -4.33 also occurs 7 times. The dot plot
shows the same information.
-5 4 3 -2 1 0 1 2 3 4 56
What proportion of possible groupings have a difference
at least as great as the difforence in means for the original
groups? Explain or show your reasoning.
difference in means
Difference in means
Frequency
+5.67
t6.33
= 5
Share with Class
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!!
Transcribed Image Text:T-Mobile Wi-Fi ? I 9:41 PM • 27% O Done 1 of 4 a FJJ F FI O F e i student.cesmos.cumvactivityouildarjstudant6o8abcza0626440cbddeet97scroonid-tabac431-0181-4443-29-a50o107esica a GGG Ne Update I Aaos a CnCourse Cormec Cwa Destiny sha. O Emainyment Center Lagin Sesskn onation S (maieyment Center b Saling Asae late. Sgnin P vie Pertt Fra. O Nursire: Tradlie. Nursing: Tradtin. = Unit 4, Lesson 14: Using Normal Distributions for Exper.. Dasiny Ctcesbu 3 pf 14 Next > To see what might be happoning when we regroup data, consider an experiment that takes 12 subjects and divides them into 2 groups at random. The control group contains 6 subjects and the treatment group contains 6 subjects. To explore what's possible, assume the control group resuits in the data: 1, 3, 4, 6, 8, and 10. The treatment group results in the data: 2, 5, 7, 9, 11, and 12, Find the difference in means for the original groups by subtracting the control group mean from the treatrment group mean. With a smaller data set like this, we can actually consider all of the different arrangements of the data. There are 924 distinct ways to separate the 12 values into 2 groups of 6. The frequency table shows all the possible differences in means and how often they occur. Notice that a difference in means of 4.33 occurs 7 times and a difference of -4.33 also occurs 7 times. The dot plot shows the same information. -5 4 3 -2 1 0 1 2 3 4 56 What proportion of possible groupings have a difference at least as great as the difforence in means for the original groups? Explain or show your reasoning. difference in means Difference in means Frequency +5.67 t6.33 = 5 Share with Class esc & 4. 7. 8. delete Q R Y U P A S D F G H K L ret C V B option command command option !!
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