Six Sigma Black Belt Session 9 Questions with Correct Answers| Latest Update
Guaranteed Success
Which of the following is the correct definition of Power of a test? (Note: Ho = null hypothesis,
Ha = alternative hypothesis)
A) P(Reject Ho/Ho is true)
B) P(Do not Reject Ho/Ho is true)
C) P(Do not Reject Ho/Ha is true)
D) P(Reject Ho/Ha is true) D) P(Reject Ho/Ha is true)
Which of the following statements about parametric tests is true?
A) They are used to make inferences about the sample mean, variance or proportion.
B) They can be used with any data distribution as long as it is continuous.
C) They make fairly strict assumptions about the distribution underlying the sampled data.
D) All of the above. C) They make fairly strict assumptions about the distribution underlying
the sampled data.
You want to compare two different treatment medications for headache and have collected
data from two groups of subjects, one for each treatment. However, you have reason to believe
that the response variable is not normally distributed. Which of the following tests will you use?
A) Unequal Variances t-test
B) Wilcoxon Signed Ranks Test for paired samples
C) Paired Samples t-test
D) Mann-Whitney-Wilcoxon test for two samples D) Mann-Whitney-Wilcoxon test for two
samples
A radiologist at a clinic providing Magnetic Resonance Imaging (MRI) services is trying to reduce
the turnaround time for the MRI machine. Historically, the average turnaround time is claimed
to be 1 hour and 15 minutes (1.25 hours) but the radiologist suspects it is actually higher. He
, collects data on 25 randomly selected cases and finds a sample mean of 1.33 hours with a
sample standard deviation of 0.27 hours. Question: Assuming the turnaround times are
normally distributed, which hypothesis test should he use to test whether the average
turnaround time is higher than that claimed?
A) Chi-Square test
B) Z-test for one mean
C) t-test for one mean
D) Z-test for two means
E) Paired samples t-test C) t-test for one mean
A radiologist at a clinic providing Magnetic Resonance Imaging (MRI) services is trying to reduce
the turnaround time for the MRI machine. Historically, the average turnaround time is claimed
to be 1 hour and 15 minutes (1.25 hours) but the radiologist suspects it is actually higher. He
collects data on 25 randomly selected cases and finds a sample mean of 1.33 hours with a
sample standard deviation of 0.27 hours. Question: Which alternative hypothesis should be
used to test against the null hypothesis H0: µ = 1.25 hours?
A) µ < 1.25 hours
B) µ > 1.33 hours
C) µ < 1.33 hours
D) µ > 1.25 hours
E) µ = 1.33 hours D) µ > 1.25 hours
A radiologist at a clinic providing Magnetic Resonance Imaging (MRI) services is trying to reduce
the turnaround time for the MRI machine. Historically, the average turnaround time is claimed
to be 1 hour and 15 minutes (1.25 hours) but the radiologist suspects it is actually higher. He
collects data on 25 randomly selected cases and finds a sample mean of 1.33 hours with a
sample standard deviation of 0.27 hours. Question: What is the decision criterion if the
radiologist sets the level of significance at 10%?
A) Reject H0 if alpha < 0.10
B) Reject H0 if p-value > 0.90
Guaranteed Success
Which of the following is the correct definition of Power of a test? (Note: Ho = null hypothesis,
Ha = alternative hypothesis)
A) P(Reject Ho/Ho is true)
B) P(Do not Reject Ho/Ho is true)
C) P(Do not Reject Ho/Ha is true)
D) P(Reject Ho/Ha is true) D) P(Reject Ho/Ha is true)
Which of the following statements about parametric tests is true?
A) They are used to make inferences about the sample mean, variance or proportion.
B) They can be used with any data distribution as long as it is continuous.
C) They make fairly strict assumptions about the distribution underlying the sampled data.
D) All of the above. C) They make fairly strict assumptions about the distribution underlying
the sampled data.
You want to compare two different treatment medications for headache and have collected
data from two groups of subjects, one for each treatment. However, you have reason to believe
that the response variable is not normally distributed. Which of the following tests will you use?
A) Unequal Variances t-test
B) Wilcoxon Signed Ranks Test for paired samples
C) Paired Samples t-test
D) Mann-Whitney-Wilcoxon test for two samples D) Mann-Whitney-Wilcoxon test for two
samples
A radiologist at a clinic providing Magnetic Resonance Imaging (MRI) services is trying to reduce
the turnaround time for the MRI machine. Historically, the average turnaround time is claimed
to be 1 hour and 15 minutes (1.25 hours) but the radiologist suspects it is actually higher. He
, collects data on 25 randomly selected cases and finds a sample mean of 1.33 hours with a
sample standard deviation of 0.27 hours. Question: Assuming the turnaround times are
normally distributed, which hypothesis test should he use to test whether the average
turnaround time is higher than that claimed?
A) Chi-Square test
B) Z-test for one mean
C) t-test for one mean
D) Z-test for two means
E) Paired samples t-test C) t-test for one mean
A radiologist at a clinic providing Magnetic Resonance Imaging (MRI) services is trying to reduce
the turnaround time for the MRI machine. Historically, the average turnaround time is claimed
to be 1 hour and 15 minutes (1.25 hours) but the radiologist suspects it is actually higher. He
collects data on 25 randomly selected cases and finds a sample mean of 1.33 hours with a
sample standard deviation of 0.27 hours. Question: Which alternative hypothesis should be
used to test against the null hypothesis H0: µ = 1.25 hours?
A) µ < 1.25 hours
B) µ > 1.33 hours
C) µ < 1.33 hours
D) µ > 1.25 hours
E) µ = 1.33 hours D) µ > 1.25 hours
A radiologist at a clinic providing Magnetic Resonance Imaging (MRI) services is trying to reduce
the turnaround time for the MRI machine. Historically, the average turnaround time is claimed
to be 1 hour and 15 minutes (1.25 hours) but the radiologist suspects it is actually higher. He
collects data on 25 randomly selected cases and finds a sample mean of 1.33 hours with a
sample standard deviation of 0.27 hours. Question: What is the decision criterion if the
radiologist sets the level of significance at 10%?
A) Reject H0 if alpha < 0.10
B) Reject H0 if p-value > 0.90
