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Question #4: 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 ?. A representative of a medical review board selects 16 doses at random and determines the weight of each. He finds the sample mean to be x? = 14.12 mg and the sample standard deviation to be s = 0.24 mg. Based on these data, a. (5 points) Calculate a 95% confidence interval for the population mean ?. b. (5 points) The representative of a medical review board wishes to see if there is any evidence that the mean dosage is more than recommended and so intends to test the following hypotheses: H0: ? = 14 versus Ha: ? > 14 Test the above using 1% significance level – follow the 5-step. c. (3 points) Does the conclusion from the confidence interval (a) and the conclusion from the test of hypotheses (b) match? Explain! d. (5 points) The representative of a medical review board selected randomly one dose, what is the probability that the dose is greater than 14.5 assuming doses vary slightly from dose to dose and are Normally distributed, with mean ? = 14 and standard deviation ? = 0.24.

          Question #4: 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 ?. A representative of a medical review board selects 16 doses at random and determines the weight of each. He finds the sample mean to be x? = 14.12 mg and the sample standard deviation to be s = 0.24 mg. Based on these data,

a. (5 points) Calculate a 95% confidence interval for the population mean ?.
b. (5 points) The representative of a medical review board wishes to see if there is any evidence that the mean dosage is more than recommended and so intends to test the following hypotheses:
H0: ? = 14 versus Ha: ? > 14
Test the above using 1% significance level – follow the 5-step.

c. (3 points) Does the conclusion from the confidence interval (a) and the conclusion from the test of hypotheses (b) match? Explain!
d. (5 points) The representative of a medical review board selected randomly one dose, what is the probability that the dose is greater than 14.5 assuming doses vary slightly from dose to dose and are Normally distributed, with mean ? = 14 and standard deviation ? = 0.24.

Question #4: 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 ?. A representative of a medical review board selects 16 doses at random and determines the weight of each. He finds the sample mean to be x? = 14.12 mg and the sample standard deviation to be s = 0.24 mg. Based on these data,

a. (5 points) Calculate a 95% confidence interval for the population mean ?.
b. (5 points) The representative of a medical review board wishes to see if there is any evidence that the mean dosage is more than recommended and so intends to test the following hypotheses:
H0: ? = 14 versus Ha: ? > 14
Test the above using 1% significance level – follow the 5-step.

c. (3 points) Does the conclusion from the confidence interval (a) and the conclusion from the test of hypotheses (b) match? Explain!
d. (5 points) The representative of a medical review board selected randomly one dose, what is the probability that the dose is greater than 14.5 assuming doses vary slightly from dose to dose and are Normally distributed, with mean ? = 14 and standard deviation ? = 0.24.

Added by Kevin E.

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