. A developmental psychologist would like to determine how much fine motor skill improves 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. Scores are recorded in the table below.Is there a significant difference in the motor skills from age three to four? Test with an α = 0.05.What type of error is possible based on the outcome?What is the mean motor skill score for the children at age three? What is the mean motor skill score for the children at age four?Explain the advantage of using a dependent measures design over the independent measures design. What are some disadvantages? Score at Score at3-years 4-years363348463527504445363930404639354235

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Description: . A developmental psychologist would like to determine how much fine motor skill improves 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. H

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. A developmental psychologist would like to determine how much fine motor skill improves 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. Scores are recorded in the table below.

1. 1. Is there a significant difference in the motor skills from age three to four? Test with an α = 0.05.
  2. What type of error is possible based on the outcome?
  3. What is the mean motor skill score for the children at age three? What is the mean motor skill score for the children at age four?

Explain the advantage of using a dependent measures design over the independent measures design. What are some disadvantages?

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

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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