Suppose that the 101 randomly selected eighth-grade students (mentioned in question 6) took a “practice” test similar to the official standardized test a month before the official test was administered. The researchers reported that the (two-tailed) statistical test of the difference between the practice and official test scores resulted in t100 = -2.32, p < .05.(a) Given that the difference score was computed as D = (practice score – official score), do the reported results indicate that students scored significantly higher or lower on the official test relative to the practice test? Explain.(b) If we constructed the corresponding 95% confidence interval for the mean difference (between the practice and official test scores) in the population, would it include zero? Explain. 6. The State of Wisconsin is interested in the performance of its eighth-grade students on the standardizedeighth-grade mathematics assessment test. A research team, tasked by the State, obtains a random sampleof 101 eighth-grade student scores and finds that the sample mean is 265 and the sample standarddeviation is 55. The scores are approximately normally distributed.(a) Construct a 95% confidence interval for the mean test score in the population of Wisconsin eighth-graders and fully interpret your result.(b) The national average on this standardized eighth-grade mathematics assessment test is 260. Basedon the available data from Wisconsin (as described above), would you conclude that the averageperformance of Wisconsin students is significantly different from theperformance? Explain.averagenational

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Description: Suppose that the 101 randomly selected eighth-grade students (mentioned in question 6) took a “practice” test similar to the official standardized test a month before the official test was administered. The researchers reported that the (two-tailed)

From the provided information, The test statistic t = -2.32 And p < 0.05

Answered: Suppose that the 101 randomly selected…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

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Suppose that the 101 randomly selected eighth-grade students (mentioned in question 6) took a “practice” test similar to the official standardized test a month before the official test was administered. The researchers reported that the (two-tailed) statistical test of the difference between the practice and official test scores resulted in t100 = -2.32, p < .05.

(a) Given that the difference score was computed as D = (practice score – official score), do the reported results indicate that students scored significantly higher or lower on the official test relative to the practice test? Explain.

(b) If we constructed the corresponding 95% confidence interval for the mean difference (between the practice and official test scores) in the population, would it include zero? Explain.

6. The State of Wisconsin is interested in the performance of its eighth-grade students on the standardized
eighth-grade mathematics assessment test. A research team, tasked by the State, obtains a random sample
of 101 eighth-grade student scores and finds that the sample mean is 265 and the sample standard
deviation is 55. The scores are approximately normally distributed.
(a) Construct a 95% confidence interval for the mean test score in the population of Wisconsin eighth-
graders and fully interpret your result.
(b) The national average on this standardized eighth-grade mathematics assessment test is 260. Based
on the available data from Wisconsin (as described above), would you conclude that the average
performance of Wisconsin students is significantly different from the
performance? Explain.
average
national

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