To properly treat patients, drugs prescribed by physicians must not only have a

Question

To properly treat patients, drugs prescribed by physicians must not only have a mean potency value as specified on the drug's container, but also the variation in potency values must be small. Otherwise, pharmacists would be distributing drug prescriptions that could be harmfully potent or have a low potency and be ineffective. A drug manufacturer claims that his drug has a potency of 5 ± 0.1 milligram per cubic centimeter mg/cc. A ran o sam e o our containers gave potency readings equa 5.09, 5.04, and 4.91 mg/cc. (a) Do the data present sufficient evidence to indicate that the mean potency differs from 5 mg/cc? (Use = 0.05. Round your answers to three decimal places.) 1-2. Null and alternative hypotheses: Ho: = 5 versus Ha: 5 0H0: = 5 versus Hai #5 3. Test statistic: 4. Rejection region: If the test is one-tailed, enter NONE for the unused region. t> 5. Conclusion: Ho is not rejected. There is sufficient evidence to indicate that the mean potency differs from 5 mg/cc. Ho is not rejected. There is insufficient evidence to indicate that the mean potency differs from 5 mg/cc. O Ho is rejected. There is insufficient evidence to indicate that the mean potency differs from 5 mg/cc. Ho is rejected. There is sufficient evidence to indicate that the mean potency differs from 5 mg/cc.

Explanation / Answer

Below are the null and alternate hypothesis
H0: mu = 5
H1: mu not equals to 5

Sample mean = 4.995
Sample std. dev. = 0.084261498

SE = 0.084261498/sqrt(5) = 0.037682887

test statistics, t = (4.995 - 5)/0.037682887 = -0.132686224

Critical region (two tailed)
t > 2.776445105
t < -2.776445105

H0 is not rejected. Option B

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