Lower scores? Newspaper headlines recently announceda decline in science scores among high school seniors.In 2000, a total of 15,109 seniors tested by The NationalAssessment in Education Program (NAEP) scored amean of 147 points. Four years earlier, 7537 seniors hadaveraged 150 points. The standard error of the differencein the mean scores for the two groups was 1.22.a) Have the science scores declined significantly?Cite appropriate statistical evidence to support yourconclusion.b) The sample size in 2000 was almost double that in1996. Does this make the results more convincing orless? Explain.

Lower scores? Newspaper headlines recently announceda decline in science scores among high school seniors.In 2000, a total of 15,109 seniors tested by The NationalAssessment in Education Program (NAEP) scored amean of 147 points. Four years earlier, 7537 seniors hadaveraged 150 points. The standard error of the differencein the mean scores for the two groups was 1.22.a) Have the science scores declined significantly?Cite appropriate statistical evidence to support yourconclusion.b) The sample size in 2000 was almost double that in1996. Does this make the results more convincing orless? Explain.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Lower scores? Newspaper headlines recently announced
a decline in science scores among high school seniors.
In 2000, a total of 15,109 seniors tested by The National
Assessment in Education Program (NAEP) scored a
mean of 147 points. Four years earlier, 7537 seniors had
averaged 150 points. The standard error of the difference
in the mean scores for the two groups was 1.22.
a) Have the science scores declined significantly?
Cite appropriate statistical evidence to support your
conclusion.
b) The sample size in 2000 was almost double that in
1996. Does this make the results more convincing or
less? Explain.

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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