Children’s attitude toward reading. In the journal Knowledge Quest (January/February 2002)...

Children’s attitude toward reading. In the journal Knowledge Quest (January/February 2002), education professors at the University of Southern California investigated children’s attitudes toward reading. One study measured third through sixth graders’ attitudes toward recreational reading on a 140-point scale (where higher scores indicate a more positive attitude). The mean score for this population of children was 106 points, with a standard deviation of 16.4 points. Consider a random sample of 36 children from this population, and let   represent the mean recreational reading attitude score for the sample.

a. What is

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b. What is

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c. Describe the shape of the sampling distribution of

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d. Find the z -score for the value  = 100 points .

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e. Find P( < 100).