When the districts were divided into districts with small 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) Small 644.3 19.0 228 Large 637.0 17.5 185 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 4.06 . (Round your response to two decimal places.) The p-value for the test is|. (Round your response to six decimal places.) Hint: Use the Excel function Norm.S.Dist to help answer this question.

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Data on fifth-grade test scores (reading and mathematics) for 408 school districts in California yield Y = 633.3 and standard deviation sy = 19.1.
The 95% confidence interval for the mean test score in the population is ( 631.45, 635.15 ). (Round your responses to two decimal places.)
When the districts were divided into districts with small 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)
Small
644.3
19.0
228
Large
637.0
17.5
185
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 4.06. (Round your response to two decimal places.)
The p-value for the test is|. (Round your response to six decimal places.) Hint: Use the Excel function Norm.S.Dist to help answer this question.
Transcribed Image Text:Data on fifth-grade test scores (reading and mathematics) for 408 school districts in California yield Y = 633.3 and standard deviation sy = 19.1. The 95% confidence interval for the mean test score in the population is ( 631.45, 635.15 ). (Round your responses to two decimal places.) When the districts were divided into districts with small 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) Small 644.3 19.0 228 Large 637.0 17.5 185 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 4.06. (Round your response to two decimal places.) The p-value for the test is|. (Round your response to six decimal places.) Hint: Use the Excel function Norm.S.Dist to help answer this question.
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