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Q. 10
Expert-verifiedA new medicine is said to help improve sleep. Eight subjects are picked at random and given the medicine. The means
hours slept for each person were recorded before starting the medication and after.
The test is for paired or matching samples.
Eight people were chosen at random and given drugs to help them sleep better. The average sleep hours for each person are recorded before and after they get drugs.
Assuming a mean difference in sleeping hours before and after drug administration as
The null and alternative hypotheses are stated as follows:
This shows that this hypothesis test is for matching or paired test.
A study was conducted to investigate how effective a new diet was in lowering cholesterol. Results for the
randomly selected subjects are shown in the table. The differences have a normal distribution. Are the subjects’
cholesterol levels lower on average after the diet? Test at the level.
Subject | A | B | C | D | E | F | G | H | I |
Before | 209 | 210 | 205 | 198 | 216 | 217 | 238 | 240 | 222 |
After | 199 | 207 | 189 | 209 | 217 | 202 | 211 | 223 | 201 |
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