In: Statistics and Probability
The physician-recommended dosage of a new medication is 14mg. Actual
administered doses vary slightly from dose to dose and are normally distributed. A
representative of a medical review board wishes to see if there is any evidence that the
mean dosage is different than recommended. To test this, she selects 16 doses at random
and determines the weight of each. She finds the sample mean to be 14.12mg and the
sample standard deviation to be 0.24mg. Use a = 0.05 to test the claim that the mean
dosage is different than recommended (that is, not equal to 14mg.)
Complete the 4 step process:
Step 1: State the hypotheses
Step 2: Model (check the assumptions)
Step 3: Mechanics (find the test statistic and the P-value)
Step 4: Conclusion
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