researcher would like to evaluate the effect of a new reading program for second-grade students. For the past five years, a standardized test given at the end of second grade has produced a mean score of ? = 45. A sample of n = 25 students is placed in the new program and, at the end of the school year they obtain a mean test score of M = 51 with

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A researcher would like to evaluate the effect of a new reading program for second-grade students. For the past five years, a standardized test given at the end of second grade has produced a mean score of ? = 45. A sample of n = 25 students is placed in the new program and, at the end of the school year they obtain a mean test score of M = 51 with SS = 9600. Based on these data can the researcher conclude that the new program has a significant effect on reading scores. Use a two-tailed test with ? = .05.

(a) Using symbols, state the hypotheses for this test.


(b) Locate the critical region for ? = .05.


(c) Calculate the t statistic for this sample.



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