To test the efficacy of a new cholesterol-lowering medication, 10 people are sel

Question

To test the efficacy of a new cholesterol-lowering medication, 10 people are selected at random. Each has their LDL levels measured (shown below as Before), then take the medicine for 10 weeks, and then has their LDL levels measured again (After).

Give a 92.8% confidence interval for BABA, the difference between LDL levels before and after taking the medication.

Confidence Interval =

Subject Before After 1 170 139 2 121 86 3 128 134 4 127 118 5 178 143 6 164 169 7 176 184 8 159 162 9 169 139 10 164 178

Explanation / Answer

Std. Err. = Std. Dev./sqrt(N)

For 92.8%, tcrit = +/- 2.0380
92.8% CI = Mean +/- tcrit*SE = 10.4 +/- 2.0380*6.360 = (-2.56, 23.36)

Subject Before After Difference 1 170 139 31 2 121 86 35 3 128 134 -6 4 127 118 9 5 178 143 35 6 164 169 -5 7 176 184 -8 8 159 162 -3 9 169 139 30 10 164 178 -14 Mean 10.4 Std. Dev. 20.112 Std. Err. 6.360

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