(Use Excel) A recent report criticizes SAT-test-preparation providers for promis
ID: 3226224 • Letter: #
Question
(Use Excel) A recent report criticizes SAT-test-preparation providers for promising big score gains without any hard data to back up such claims (The Wall Street Journal, May 20, 2009). Suppose eight college-bound students take a mock SAT, complete a three-month test-prep course, and then take the real SAT. Let the difference be defined as Score on Mock SAT minus Score on Real SAT. Use Table 2.
Specify the competing hypotheses that determine whether completion of the test-prep course increases a student’s score on the real SAT.
Assuming that the SAT scores difference is normally distributed, calculate the value of the test statistic and its associated p-value. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places. Compute the p-value using your unrounded test statistic value. Round "Test statistic" value to 2 decimal places and "p-value" to 4 decimal places.)
(Use Excel) A recent report criticizes SAT-test-preparation providers for promising big score gains without any hard data to back up such claims (The Wall Street Journal, May 20, 2009). Suppose eight college-bound students take a mock SAT, complete a three-month test-prep course, and then take the real SAT. Let the difference be defined as Score on Mock SAT minus Score on Real SAT. Use Table 2.
Explanation / Answer
a) H0: D 0; HA: D > 0
c) Do not reject H0 since the p-value is more than .
Score on Mock SAT Score on Real SAT difference(d) 1853 1836 17 1793 1794 -1 2069 1963 106 2045 2108 -63 1648 1602 46 1803 1962 -159 1928 1826 102 1749 1651 98 mean 18.250 std deviaition 92.7635 sample size 8.0000 std error= std dev/(n)^(1/2) 32.7969 t stat= (d)/std error 0.5565 p value = 0.2976Related Questions
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