Complete (Fourth Edition) online problems: 6.25, 6.29, 6.36, 6.46, 6.51 Over a p

Question

Complete (Fourth Edition) online problems: 6.25, 6.29, 6.36, 6.46, 6.51 Over a period of many months, a particular 5-year-old boy's play activity was observed. The length of time spent in each episode of play with toys was recorded. The paper "A Temporal Analysis of Free Toy Play and Distractibility in Young Children" (Journal of Experimental Child Psychology, 1991, pages 41-69) reported the accompanying data on the play-episode lengths. Display this information in a density histogram. Use the density histogram to estimate the proportion of play-episode that lasted at most 75 seconds. To help students improve their reading, a school district decides to implement a reading program. It is to be administered to the bottom 15% of the students in the district, based on the scores on a reading achievement exam given in the child's dominant language. The reading - score for the pooled students in the district is approximately normally distributed with a mean of 122 points, and standard deviation of 18 points. What fraction of students score above 140 points? Find the cutoff score that will make a student eligible for the program.

Explanation / Answer

Result:

Q3 answered

Z value for 140, z = (140-122)/18 = 1

P( x >140) = P( z >1)

=0.1587

b).

z value for bottom 15% = -1.036

x =122-1.036*18 = 103.352

Those who score less than 103.35 are eligible

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