3. A high school teacher wanted to determine the effectiveness of teaching. He gave a pre-test at the beginning of class and a post-test at the end of the class to each student to measure improvement. He selected 15 random students and got these results: Pre 60 61 65 71 68 67 65 62 63 68 69 70 65 62 57 Post 80 87 91 97 89 86 85 83 89 93 94 99 92 91 93 Construct a 90% confidence interval for the true difference between scores.
could you please work this out so I can see how it's done? Thank you
Since we know that
z @ 90.0% = 1.6449
Required confidence interval = (64.8667-89.9333-2.7726,
64.8667-89.9333+2.7726)
Required confidence interval = (-27.8392, -22.294)
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