A better drug? In a pilot study, a company's new cholesterol-reducing drug outperforms the currently available drug. If the data provide convincing evi- dence that the mean cholesterol reduction with the new drug is more than 10 milligrams per deciliter of blood (mg/dl) greater than with the current drug, the company will begin the expensive process of mass-producing the new drug. For the 14 subjects who were assigned at random to the current drug, the mean cholesterol reduction was 54.1 mg/dl with a standard deviation of 11.93 mg/dl. For the 15 sub- jects who were randomly assigned to the new drug, the mean cholesterol reduction was 68.7 mg/dl with a standard deviation of 13.3 mg/dl. Graphs of the data reveal no outliers or strong skewness. Carry out an appropriate significance test. What conclusion would you draw? (Note that the null hypothesis is not Ho: 1-2=0.) Based on your conclusion in part (a), could you have made a Type I error or a Type II error? Justify your answer.

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A better drug? In a pilot study, a company's new
cholesterol-reducing drug outperforms the currently
available drug. If the data provide convincing evi-
dence that the mean cholesterol reduction with the
new drug is more than 10 milligrams per deciliter
of blood (mg/dl) greater than with the current drug,
the company will begin the expensive process of
mass-producing the new drug. For the 14 subjects
who were assigned at random to the current drug,
the mean cholesterol reduction was 54.1 mg/dl with
a standard deviation of 11.93 mg/dl. For the 15 sub-
jects who were randomly assigned to the new drug,
the mean cholesterol reduction was 68.7 mg/dl with
a standard deviation of 13.3 mg/dl. Graphs of the
data reveal no outliers or strong skewness.
Carry out an appropriate significance test. What
conclusion would you draw? (Note that the null
hypothesis is not Ho: μμ2=0.)
Based on your conclusion in part (a), could you have
made a Type I error or a Type II error? Justify your
answer.
Transcribed Image Text:A better drug? In a pilot study, a company's new cholesterol-reducing drug outperforms the currently available drug. If the data provide convincing evi- dence that the mean cholesterol reduction with the new drug is more than 10 milligrams per deciliter of blood (mg/dl) greater than with the current drug, the company will begin the expensive process of mass-producing the new drug. For the 14 subjects who were assigned at random to the current drug, the mean cholesterol reduction was 54.1 mg/dl with a standard deviation of 11.93 mg/dl. For the 15 sub- jects who were randomly assigned to the new drug, the mean cholesterol reduction was 68.7 mg/dl with a standard deviation of 13.3 mg/dl. Graphs of the data reveal no outliers or strong skewness. Carry out an appropriate significance test. What conclusion would you draw? (Note that the null hypothesis is not Ho: μμ2=0.) Based on your conclusion in part (a), could you have made a Type I error or a Type II error? Justify your answer.
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