If anyone can help me with this, I\'d really appreciate it!Will rate :) Reading
ID: 2954923 • Letter: I
Question
If anyone can help me with this, I'd really appreciate it!Will rate :)Reading Japanese Books. Refer to the Reading aForeign Language experiment to improve the Japanese readingcomprehension levels of University of Hawaii students. Recall that14 students participated in a ten-week extensive reading program ina second semester Japenese course. The numbers of books read byeach student and the student's course grade are reportedbelow: Number of Books Grade 53 A 42 A 40 A 40 B 39 A 34 A 34 A 30 A 28 B 24 A 22 C 21 B 20 B 16 B (a). Consider two populations of students who participate inthe reading program prior to taking a second semester Japanesecourse--those who earn an A and those who earn a B or C grade. Ofinterest is the difference in the mean number of books read by thetwo populations of students. Identify the parameter of interest inwords and symbols. (b). Form a 95% confidence interval for the target parameteridentified in part (a). (c). Give a practical interpretation for the target parameteridentified in part (a). If anyone can help me with this, I'd really appreciate it!Will rate :)
Reading Japanese Books. Refer to the Reading aForeign Language experiment to improve the Japanese readingcomprehension levels of University of Hawaii students. Recall that14 students participated in a ten-week extensive reading program ina second semester Japenese course. The numbers of books read byeach student and the student's course grade are reportedbelow: Number of Books Grade 53 A 42 A 40 A 40 B 39 A 34 A 34 A 30 A 28 B 24 A 22 C 21 B 20 B 16 B (a). Consider two populations of students who participate inthe reading program prior to taking a second semester Japanesecourse--those who earn an A and those who earn a B or C grade. Ofinterest is the difference in the mean number of books read by thetwo populations of students. Identify the parameter of interest inwords and symbols. (b). Form a 95% confidence interval for the target parameteridentified in part (a). (c). Give a practical interpretation for the target parameteridentified in part (a).
Explanation / Answer
A: n1=8, xbar1=37, s1=8.7 B,C: n2=6, xbar2=24.5, s2=8.53 (a) The test hypothesis is Ho:1=2 Ha:1 not equal 2 The test statistic is Z=(xbar1-xbar2)/[s1^2/n1+s2^2/n2] =(37-24.5)/sqrt(8.7^2/8+8.53^2/6) =2.69 If =0.05, Z(0.025)=1.96 (check normal table) Since Z=2.69>1.96, we reject Ho. (b) The 95% CI is (xbar1-xbar2) ± Z*[s1^2/n1+s2^2/n2] --> (37-24.5) ± 1.96*sqrt(8.7^2/8+8.53^2/6) --> (3.39, 21.61)