BSE Engineering Statistics and Data-Driven Decision Making

Question 1

A manufacturing process produces components with a mean diameter of 50 mm and a standard deviation of 0.5 mm. What percentage of parts fall within ±2 standard deviations of the mean under a normal distribution?

Accepted Answer

95.45%

Answer

The empirical rule states that ±2 standard deviations from the mean captures approximately 95.45% of data in a normal distribution.

Question 2

In hypothesis testing, a Type II error occurs when:

Accepted Answer

A false null hypothesis is not rejected

Answer

A Type II error (false negative) occurs when the null hypothesis is false but the test fails to reject it.

Question 3

Which control chart is most appropriate for monitoring the proportion of defective items in a production batch?

Accepted Answer

p-chart

Answer

The p-chart monitors the proportion (fraction) of defective items in samples, making it the correct choice for attribute data expressed as a proportion.

Question 4

An engineering manager wants to determine the relationship between machine age (years) and maintenance cost ($). Which statistical method is most appropriate?

Accepted Answer

Simple linear regression

Answer

Simple linear regression models the relationship between one independent variable (machine age) and one dependent variable (maintenance cost).

Question 5

The coefficient of variation (CV) is defined as:

Accepted Answer

Standard deviation divided by mean, expressed as a percentage

Answer

CV = (Standard Deviation / Mean) × 100%, and it measures relative variability, allowing comparison across datasets with different units or scales.

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