In: Statistics and Probability
A drug which is used for treating high blood pressure has
potentially dangerous side effects if it is taken at an improper
dosage. The drug is manufactured at two different plants, plant A
and plant B. A medical researcher believes that tablet A has a
smaller variance in dosage than the variance in dosage from tablet
B. The sample variance of a sample of 6 dosages of tablet A is
0.009. The sample variance of a sample of 20 dosages of tablet B is
0.017. Test the claim using a 0.025 level of significance. Let σ12
represent the population variance for tablet A.
Q1: Compute the value of the test statistic. Round your answer to
four decimal places.
Q2: Find the P-value
Q3: Make a decision (Reject the null hypothesis or Fail to
reject the null hypothesis. Is there enough evidence to support the
null hypothesis, or not?).
GIVEN ANSWERS:
H0: σ21 ≥ σ22
Ha: σ21 < σ22