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.
|Student||Score on Mock SAT||Score on Real SAT|
|Click here for the Excel Data File|
|Let the difference be defined as scores on Mock SAT – Real SAT.|
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.)
|c.||At the 5% significance level, do the sample data support the test-prep providers’ claims?|
The table given below ,
|Student||Score on Mock SAT(X)||Score on Real SAT(Y)||di=X-Y||di^2|
From table ,
a) Hypothesis: Vs
b) The test statistic is ,
The Excel function is , =TDIST(1.08,7,1)
c) Decision : Here , p-value=0.1580 >
Therefore , Do not reject H0 since the p-value is more than α.
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