Data on fifth-grade test scores (reading and mathematics) for 414 school districts in California yleld Y = 613.9 and standard deviation sy = 185 The 95% confidence interval for the mean test score in the population is D) (Round your responses to two decimal places) When the districts were divided into districts with omall classes (<20 students per teacher) and large classes (2 20 students per teacher), the following results were found Class Size Average Score (Y) Standard Deviation (sy) Smal 624.5 18 4 244 Large 6175 17.0 180 is there statistically significant evidence that the districts with smaller classes have higher average test scores? The t-statistic for testing the null hypothesis is (Round your reaponse to two decimal places) The p value for the test is (Round your response to ax decimal places) Is there statistically significant evidence that the districts with smaller classes have higher average test scores? statistically significant evidence suggests that the null hypothesis that the districts with smaller dasses have higher average test scores Vwith a high degree of confidence Hence, The

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Data on fifth-grade test scores (reading and mathematics) for 414 school districts in California yleld Y = 613.9 and standard deviation sy= 18 5
The 95% confidence interval for the mean test score in the population is D (Round your responses to two decimal places.)
When the districts were divided into districts with omall classes (<20 students per teacher) and large classes (220 students per teacher), the following results were
found
Class Size
Average Score (Y)
Standard Deviation (ay)
Smal
624.5
18 4
244
Large
617.5
17.0
180
Is there statistically significant evidence that the districts with smaller classes have higher average test scores?
The t-statistic for testing the null hypothesis is (Round your reaponse to two decimal places)
The p value for the test is (Round your response to ax decimal places)
Is there statistically significant evidence that the districts with smaller classes have higher average test scores?
statistically significant evidence
suggests that the null hypothesis
that the districts with smaller dasses have higher average test scores
V with a high degree of confidence Hence,
The
Transcribed Image Text:Data on fifth-grade test scores (reading and mathematics) for 414 school districts in California yleld Y = 613.9 and standard deviation sy= 18 5 The 95% confidence interval for the mean test score in the population is D (Round your responses to two decimal places.) When the districts were divided into districts with omall classes (<20 students per teacher) and large classes (220 students per teacher), the following results were found Class Size Average Score (Y) Standard Deviation (ay) Smal 624.5 18 4 244 Large 617.5 17.0 180 Is there statistically significant evidence that the districts with smaller classes have higher average test scores? The t-statistic for testing the null hypothesis is (Round your reaponse to two decimal places) The p value for the test is (Round your response to ax decimal places) Is there statistically significant evidence that the districts with smaller classes have higher average test scores? statistically significant evidence suggests that the null hypothesis that the districts with smaller dasses have higher average test scores V with a high degree of confidence Hence, The
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