(Use Excel) A recent report criticizes SAT-test-preparation providers for promis
ID: 3259167 • 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.
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
Score on Mock SAT = x
Score on Real SAT = y
d = x – y
x
y
d
1852
1805
47
1794
1734
60
1999
2068
-69
2171
2222
-51
1679
1714
-35
1804
1956
-152
1967
1809
158
1788
1706
82
x
y
d
1852
1805
47
1794
1734
60
1999
2068
-69
2171
2222
-51
1679
1714
-35
1804
1956
-152
1967
1809
158
1788
1706
82
d bar =
5
sd =
99.2745
t = d bar / ( sd / sqrt (n))
= 5 / (99.2745/sqrt(8))
= 0.14
Excel function:
=TDIST(0.14,7,1)
Test statistics = 0.14
p-value = 0.4463
x
y
d
1852
1805
47
1794
1734
60
1999
2068
-69
2171
2222
-51
1679
1714
-35
1804
1956
-152
1967
1809
158
1788
1706
82
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