D.60 An elementary school principal wants to compare the learning outcomes of two different methods for teaching first grade children to read. The two methods are phonics and rote. The first graders at the principal's school are randomly assigned to two classes at the beginning of the school year. During that school reading by phonics while the teacher of the other class teaches by the rote method. At the end of the school year the two classes are given a standardized reading test. The scores are presented in Table 12. Does this data give statistically significant evidence that the phonics method tends to produce higher test scores than the rote method? Test at significance level .05, using a one-sided test, and state your conclusion in words. Use the t-test that assumes homoscedasticity. year, the teacher in one class teaches phonics rote 80 75 68 84 60 72 81 65 76 76 83 74 80 63 62 85 76 70 72 71 77

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Chapter10: Statistics
Section: Chapter Questions
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10.60 An elementary school principal wants to compare the learning outcomes
of two different methods for teaching first grade children to read. The
two methods are phonics and rote. The first graders at the principal's
school are randomly assigned to two classes at the beginning of the
school year. During that school year, the teacher in one class teaches
reading by phonics while the teacher of the other class teaches by the
rote method. At the end of the school year the two classes are given a
standardized reading test. The scores are presented in Table 12. Does
this data give statistically significant evidence that the phonics method
tends to produce higher test scores than the rote method? Test at
significance level .05, using a one-sided test, and state your conclusion
in words. Use the t-test that assumes homoscedasticity.
phonics
rote
80 75 68
84
60 72 81
65
76
76 83
74
80
63
62 85
76
70
72
71
77
Table 12: Reading Test Scores
Transcribed Image Text:10.60 An elementary school principal wants to compare the learning outcomes of two different methods for teaching first grade children to read. The two methods are phonics and rote. The first graders at the principal's school are randomly assigned to two classes at the beginning of the school year. During that school year, the teacher in one class teaches reading by phonics while the teacher of the other class teaches by the rote method. At the end of the school year the two classes are given a standardized reading test. The scores are presented in Table 12. Does this data give statistically significant evidence that the phonics method tends to produce higher test scores than the rote method? Test at significance level .05, using a one-sided test, and state your conclusion in words. Use the t-test that assumes homoscedasticity. phonics rote 80 75 68 84 60 72 81 65 76 76 83 74 80 63 62 85 76 70 72 71 77 Table 12: Reading Test Scores
10.62 Referring to Problem 10.60, use a randomization test with 4000 repli-
cates to test the claim that the phonics method tends to produce
higher scores than the rote method against the null hypothesis urote
Hphonics- Give (a) the estimated 1-tailed P-value and (b) the conclu-
sion. Before running your program, set the random number seed to
26*y + pos where y is the last digit of the current year and pos is
the position in the alphabet of the first letter of your last name.
Transcribed Image Text:10.62 Referring to Problem 10.60, use a randomization test with 4000 repli- cates to test the claim that the phonics method tends to produce higher scores than the rote method against the null hypothesis urote Hphonics- Give (a) the estimated 1-tailed P-value and (b) the conclu- sion. Before running your program, set the random number seed to 26*y + pos where y is the last digit of the current year and pos is the position in the alphabet of the first letter of your last name.
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