BSE Engineering Statistics and Data-Driven Decision Making 2

Question 1

A 95% confidence interval for the mean diameter of a part is (49.8 mm, 50.2 mm). Which interpretation is correct?

Accepted Answer

If the procedure were repeated many times, 95% of such intervals would contain the true mean

Answer

A confidence interval is a procedure such that, in repeated sampling, 95% of constructed intervals will contain the true population mean.

Question 2

In statistical process control, a process is said to be 'in control' when:

Accepted Answer

Only common cause variation is present

Answer

A process is in statistical control when only common (random) cause variation is present, with no special (assignable) causes affecting the process.

Question 3

An engineer computes a p-value of 0.03 in a hypothesis test with a significance level of α = 0.05. The correct conclusion is:

Accepted Answer

Reject H₀ because 0.03 < 0.05

Answer

When the p-value (0.03) is less than the significance level α (0.05), there is sufficient evidence to reject the null hypothesis.

Question 4

Which of the following is a nonparametric alternative to the one-sample t-test?

Accepted Answer

Wilcoxon signed-rank test

Answer

The Wilcoxon signed-rank test is the nonparametric equivalent of the one-sample t-test, used when normality cannot be assumed.

Question 5

Process capability index Cpk is different from Cp because Cpk:

Accepted Answer

Accounts for process centering relative to specification limits

Answer

Cpk adjusts for how well-centered the process is between the specification limits, making it a more accurate measure when the process mean is not centered.

BSE - Mgt Bachelor of Science in Engineering Management Practice Test

BSE - Mgt Bachelor of Science in Engineering Management Practice Test

BSE Engineering Statistics and Data-Driven Decision Making 2