IASSC Certified Lean Six Sigma Black Belt (ICBB) — Question 41

‘A drug was given to 10 patients and the increase in blood pressure was recorded to be 3, 6, -2, 4, -3, 4, 6, 0, 0, and 2. Is it reasonable to believe that the drug has no effect on the change of blood pressure?’ Which suitable test statistic can you use?

Answer options

• A. F test
• B. One sample t-test
• C. One sample z-test
• D. One proportion z-test

Correct answer: C

Explanation

The One sample z-test is appropriate here because it assesses whether the mean of a single sample differs from a known value, which is suitable for determining if the drug has an effect on blood pressure changes. The F test is used for comparing variances, while the One sample t-test is applicable for smaller sample sizes or when the population standard deviation is unknown. The One proportion z-test is meant for categorical data, making it irrelevant in this context.