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 response to two decimal places.)

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Data on fifth-grade test scores (reading and mathematics) for 434 school districts in California yield Y =
678.5 and standard deviation sy = 20.5.
The 95% confidence interval for the mean test score in the population is (676.58, 680.42 ). (Round your
responses to two decimal places.)
When the districts were divided into districts with small classes (<20 students per teacher) and large
classes (>20 students per teacher), the following results were found:
Class Size
Standard Deviation (sy)
20.4
18.8
Small
Large
Average Score (V)
690.3
682.5
n
235
187
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 response to two decimal places.)
Transcribed Image Text:Data on fifth-grade test scores (reading and mathematics) for 434 school districts in California yield Y = 678.5 and standard deviation sy = 20.5. The 95% confidence interval for the mean test score in the population is (676.58, 680.42 ). (Round your responses to two decimal places.) When the districts were divided into districts with small classes (<20 students per teacher) and large classes (>20 students per teacher), the following results were found: Class Size Standard Deviation (sy) 20.4 18.8 Small Large Average Score (V) 690.3 682.5 n 235 187 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 response to two decimal places.)
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