A developmental psychologist would like to determine how much fine motor skill changes for children from age 3 to age 4. He takes a random sample of 9 three-year old children and gives each a manual dexterity test that measures fine motor skill. He tests these same children a year later, when they are each four-years old. Higher scores on this test indicate better fine motor skills. Using the data in the table below, provide a point estimate, the 80% confidence interval, and the 90% confidence interval for the population mean of the difference scores.

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A developmental psychologist would like to determine how much fine motor skill changes for children from age 3 to age 4. He takes a random sample of 9 three-year old children and gives each a manual dexterity test that measures fine motor skill. He tests these same children a year later, when they are each four-years old. Higher scores on this test indicate better fine motor skills. Using the data in the table below, provide a point estimate, the 80% confidence interval, and the 90% confidence interval for the population mean of the difference scores.

 

Score at
Score at
3-years
33
46
4-years
36
48
27
35
44
50
36
45
30
39
39
35
40
46
35
42
Transcribed Image Text:Score at Score at 3-years 33 46 4-years 36 48 27 35 44 50 36 45 30 39 39 35 40 46 35 42
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