Data on fifth-grade test scores (reading and mathematics) for 414 school districts in California yleld Y -613 9 and standard deviation ay 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 small classes (<20 students per teacher) and large classes (220 students per teacher), the following results were found Class Size Average Score (Y) Standard Deviation (sy) Small 624.5 18 4 244 Large 6175 17.0 180 s 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 six decimal pleces) lo there statistically significant evidence that the districts with smaller classes have higher average test scores? Vwith a high degree of confidence Hence, statistically significant evidence uggests that the null hypothesis that the districts with smaller classes have higher average test scores 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 omal 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
Iis 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?
with a high degree of confidence Hence,
statistically significant evidence
The
suggests that the null hypothesis
that the districts with smaller dasses have higher average test scores.
Time Remaining: 01 10 50
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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 omal 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 Iis 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? with a high degree of confidence Hence, statistically significant evidence The suggests that the null hypothesis that the districts with smaller dasses have higher average test scores. Time Remaining: 01 10 50 Next
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