72 students who struggle in math classes at a large university were selected to participate in a study. The university is hoping that an intervention program will help these students. 33 students were randomly assigned to an intervention to address their struggles while the rest received no intervention. The mean score on an assessment taken after the intervention for those in the intervention group was 82.4 points with a standard deviation of 5.2 points while the mean score on the same assessment for those not receiving the intervention was 79.8 points with a standard deviation of 7.3 points. Let µ1 receiving the intervention and U2 = the true mean score for all students like these not receiving the intervention. = the true mean score for all students like these What is the standardized test statistic and P-value for conducting a significance test of µ1 – µ2? You may assume the conditions have been met.

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72 students who struggle in math classes at a large university were selected to
participate in a study. The university is hoping that an intervention program will help
these students. 33 students were randomly assigned to an intervention to address
their struggles while the rest received no intervention. The mean score on an
assessment taken after the intervention for those in the intervention group was 82.4
points with a standard deviation of 5.2 points while the mean score on the same
assessment for those not receiving the intervention was 79.8 points with a standard
deviation of 7.3 points. Let µ1
receiving the intervention and µ2
not receiving the intervention.
= the true mean score for all students like these
= the true mean score for all students like these
What is the standardized test statistic and P-value for conducting a significance test
of µi – µ2? You may assume the conditions have been met.
Transcribed Image Text:72 students who struggle in math classes at a large university were selected to participate in a study. The university is hoping that an intervention program will help these students. 33 students were randomly assigned to an intervention to address their struggles while the rest received no intervention. The mean score on an assessment taken after the intervention for those in the intervention group was 82.4 points with a standard deviation of 5.2 points while the mean score on the same assessment for those not receiving the intervention was 79.8 points with a standard deviation of 7.3 points. Let µ1 receiving the intervention and µ2 not receiving the intervention. = the true mean score for all students like these = the true mean score for all students like these What is the standardized test statistic and P-value for conducting a significance test of µi – µ2? You may assume the conditions have been met.
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