Mathematics

Question

Spatial perception is measured on a scale from 0 to 10. Two groups of 8th grade children are tested for spatial perception. The students in group 1 were first given a short course on spatial concepts. The students in group 2 received no such instruction. R software was used to calculate descriptive statistics for the two samples. What is the value of the pooled standard error

1 Answer

  • Answer:

    Pooled Standard Error      =0.7157

    Step-by-step explanation:

    The missing data is

                      Mean          n          Std. Deviation      Std. Error

    group1      6.89           9            1.269                       0.423

    group2     5.33           9            1.732                        0.577

    Standard Error= Std. Deviation / √n

    First we calculate pooled standard deviation from the pooled variance formula

    Sp²= (n1 – 1)* (s1)² + (n2 – 1) *(s2)²/(n1 + n2 – 2)

          = 8*(1.269)² + 8 (1.732)²/ ( 9+9-2)

          = 12.882888 + 23.998592/16

          =2.3050925

    Sp = √ 2.3050925 =1.51825

    Pooled Standard Error = Sp *sqrt(1/n1 + 1/n2)

                                           =1.51825 *(0.4714)

                                             =0.7157

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