The table below contains data about the English reading comprehension scores (on a scale of 1-100) of a random sample of five Grade 7 learners, before and after they received supplemental workbooks. Assume that the reading comprehension scores of these learners are normally distributed. Using this information, the difference between the sample means (using sample of X - sample of Y method or mean of X -mean of Y method) is? the standard deviation of the differences between the sample means is? . Further, the 99% confidence interval for the mean difference in reading comprehension scores before and after the receipt of the supplementary workbooks is for the lower limit and for the upper limit. More so, the value of the test statistic that must be used to test the hypothesis that the mean reading comprehension scores before receipt of the supplementary workbooks were less than the mean reading comprehension scores after receipt of the supplementary workbooks, rounded to 3 decimal places is negative . Finally, testing at the 1% level, the critical value that must be used to test the hypothesis that the mean reading comprehension scores before receipt of the supplementary workbooks are less than the mean reading comprehension scores after receipt of the supplementary workbooks, rounded to 3 decimal places is negative .
QUESTION 4
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The table below contains data about the English reading comprehension scores (on a scale of 1-100) of a random sample of five Grade 7 learners, before and after they received supplemental workbooks. Assume that the reading comprehension scores of these learners are
normally distributed .
Using this information, the difference between the sample means (using sample of X - sample of Y method ormean of X -mean of Y method) is? the standard deviation of the differences between the sample means is?. Further, the 99% confidence interval for the mean difference in reading comprehension scores before and after the receipt of the supplementary workbooks is for the lower limit and for the upper limit. More so, the value of the test statistic that must be used to test the hypothesis that the mean reading comprehension scores before receipt of the supplementary workbooks were less than the mean reading comprehension scores after receipt of the supplementary workbooks, rounded to 3 decimal places is negative .
Finally, testing at the 1% level, the critical value that must be used to test the hypothesis that the mean reading comprehension scores before receipt of the supplementary workbooks are less than the mean reading comprehension scores after receipt of the supplementary workbooks, rounded to 3 decimal places is negative .
(Note: In the process, you must round your t score to 3 decimal places (e.g if you get 3.5, add 2 zeros to have 3.500). You must also write your final answers to 3 decimal places. When writing your answers, use "." (e.g. 3.250) instead of "," (i.e. 3,250) with no spaces between digits).
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