Question

In: Statistics and Probability

A researcher suspects that there is a direct relationship between hand-eye coordination and academic success in math.

 

7) A researcher suspects that there is a direct relationship between hand-eye coordination and academic success in math. A sample of n = 16 students who have demonstrated above average performance on a second-grade math test is selected. These students are given a standardized hand-eye coordination task where the average score for this group is μ = 55. The 16 students in the sample produced a mean of 61 with SS of 540.

     a) Are the data sufficient to conclude that the high math achievement students have hand-eye

          coordination scores that are significantly different from the general population? Use a two-tailed

          test with α = .01.

     b) Are the data sufficient to conclude that the high math achievement students have hand-eye

          coordination scores that are significantly better than the general population? Use a one-tailed  

          test with α = .01.

8) A newspaper article reported that the typical American family spent an average of μ = $81 for Halloween candy and costumes last year. A sample of n =16 families this year produced a mean of $85 with SS = 6000. Do these data indicate a significant change in holiday spending? Use a two tailed test with α = .05.

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