# Independent sample t

To test the hypothesis that students who finish an exam first get better grades, Professor Hardtack kept track of the order in which papers were handed in.

+ The first 25 papers showed a mean score of 77.1 with a standard deviation of 19.6

+ The last 24 papers showed a mean score of 69.3 with a standard deviation of 24.9.

Is this a significant difference at ¦Á = .05?

RQ: Do students who finish an exam first earn better grades than those who finish the exam last?

A. Choose the Hypothesis

B. Specify the Decision Rule

C. Calculate the Test Statistic (assume equal variances)

D. Make the Decision

E. Give an interpretation of the Decision

F. P-value Method

1. Calculate the P-value, what is it?

2. Does that P-value support the Decision in Part D

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#### Solution Preview

Hypothesis test two sample student

To test the hypothesis that students who finish an exam first get better grades, Professor Hardtack kept track of the order in which papers were handed in.

+ The first 25 papers showed a mean score of 77.1 with a standard deviation of 19.6

+ The last 24 papers showed a mean score of 69.3 with a standard deviation of 24.9.

Is this a significant difference at α = .05?

RQ: Do students who finish an exam first earn better grades than those who finish the exam last?

A. Choose the Hypothesis

H0: There is no significant difference in the mean grade of students who finish their exam early and those who finish it last.

H1: The mean grade of students who finish their exam ...

#### Solution Summary

The solution provides step by step method for the calculation of t test statistic. Formula for the calculation and Interpretations of the results are also included.