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Chapter 6: Q.31 (page 357)

Better readers?(1.3) Did students have higher reading scores after participating in the chess program? Give appropriate statistical evidence to support your answer.

Short Answer

Expert verified

Yes, students are getting higher marks.

Step by step solution

01

Step 1: Given information

It is given in the question that,

The graphs and numerical summaries below provide information on the subjects鈥� pretest scores, posttest scores, and the difference (post 鈥� pre) between these two scores.

02

Explanation

The presented boxplots of Pre and Post are overlapping, and the difference between Post and Pre is decreasing below 0, implying that there is no increase in all students' scores after participating in the chess programmes.

It's also worth noting that the median and mean differences are not negative, implying that the scores have changed. As a result, it is possible to conclude that students' results improve after participating in chess programmes, however not for the majority of pupils.

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Most popular questions from this chapter

Benford鈥檚 law and fraud A not-so-clever employee decided to fake his monthly expense report. He believed that the first digits of his expense amounts should be equally likely to be any of the numbers from 1to 9. In that case, the first digit Yof a randomly selected expense amount would have the probability distribution shown in the histogram.

(a). Explain why the mean of the random variable Y is located at the solid red line in the figure.

(b) The first digits of randomly selected expense amounts actually follow Benford鈥檚 law (Exercise 5). What鈥檚 the expected value of the first digit? Explain how this information could be used to detect a fake expense report.

(c) What鈥檚 P(Y>6)? According to Benford鈥檚 law, what proportion of first digits in the employee鈥檚 expense amounts should be greater than 6? How could this information be used to detect a fake expense report?

Suppose you roll a pair of fair, six-sided dice. Let T= the sum of the spots showing on the up-faces.

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(c) The store clerk is surprised when three of the friends win a prize. Is this group of friends just lucky, or is the company鈥檚 1-in-6 claim inaccurate? Compute P(X鈮�3) and use the result to justify your answer.

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