Data on fifth-grade test scores (reading and mathematics) for 439 school districts in California yield Y = 594.5 and standard deviation sy = 17.9. The 95% confidence interval for the mean test score...


Data on fifth-grade test scores (reading and mathematics) for 439 school districts in California yield Y = 594.5 and standard deviation sy = 17.9.<br>The 95% confidence interval for the mean test score in the population is ( 592.83 , 596.17 ). (Round your responses to two decimal places.)<br>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<br>found:<br>Class Size<br>Average Score (Y)<br>Standard Deviation (sy)<br>n<br>Small<br>604.8<br>17.8<br>243<br>Large<br>598.0<br>16.5<br>185<br>Is there statistically significant evidence that the districts with smaller classes have higher average test scores?<br>The t-statistic for testing the null hypothesis is 4.08 . (Round your response to two decimal places.)<br>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.<br>

Extracted text: Data on fifth-grade test scores (reading and mathematics) for 439 school districts in California yield Y = 594.5 and standard deviation sy = 17.9. The 95% confidence interval for the mean test score in the population is ( 592.83 , 596.17 ). (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)="" n="" small="" 604.8="" 17.8="" 243="" large="" 598.0="" 16.5="" 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="" 4.08="" .="" (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="">

Jun 11, 2022
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