The physician-recommended dosage of a new medication is 14 mg. Actual administered doses vary slightly from dose to dose and are normally distributed with mean μ.  A representative of a medical review board wishes to see if there is any evidence that the mean dosage is more than recommended and intends to test the hypotheses: 𝐻 𝑂 : 𝜇 = 14 𝑎 𝑛 𝑑 𝐻 𝐴 : 𝜇 > 14 To do this, he selects 17 doses at random and determines the weight of each.  He finds the sample mean to be 13.75 mg, the sample standard deviation to be 0.24 mg. What is the conclusion for this test at the 5% level of significance? (Assume all conditions were met, which may or may not have been correct.) Output for this data and t-test are below.  One Sample t-test data:  medicine$dosage t = -0.18925, df = 16, p-value = 0.5739 alternative hypothesis: true mean is greater than 14 95 percent confidence interval:  13.74578      Inf sample estimates: mean of x   13.97514 单项选择题

A

There is evidence at the 5% level to show the true mean dosage is more than 14 mg.

B

There is not evidence at the 5% level to show the true mean dosage is more than 14 mg.

C

There is evidence at the 5% level to show the true mean dosage is less than 14 mg.

D

There is not evidence at the 5% level to show the true mean dosage is less than 14 mg.

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