Quantitative Quiz 1MarkMarch 7, 2025Quantitative Aptitude Welcome to your Quantitative Quiz 1 In Lean Six Sigma, which of the following best describes the purpose of the DMAIC methodology? Develop, Measure, Adjust, Improve, Control Define, Measure, Analyze, Improve, Control Design, Modify, Assess, Integrate, Confirm Deploy, Manage, Align, Implement, Certify None Which of the following is used to determine if there is a significant difference between the means of multiple groups? Regression Analysis ANOVA Pareto Analysis Histogram None What is the main objective of a hypothesis test? To estimate population parameters To summarize data graphically To rank data based on frequency To determine if a claim about a population parameter is likely true None A p-value less than 0.05 in a hypothesis test typically indicates: Strong evidence against the null hypothesis No significant difference A need to collect more data That the null hypothesis is accepted None Which tool is used in Six Sigma to identify and prioritize the most frequent problems? Fishbone Diagram Control Chart Pareto Chart Run Chart None What is the purpose of an Ishikawa diagram? To monitor process control To identify potential causes of a problem To test statistical significance To measure project progress None What does the term “sigma level” refer to in Six Sigma? The percentage of defective products The standard deviation of a process The capability of a process to produce defect-free products The total cycle time in a process None In project management, what is the critical path? The longest sequence of dependent activities The shortest time needed to complete the project The path with the most tasks The least expensive route of execution None What is the primary measure of central tendency? Mean, median, and mode Range and variance Standard deviation Confidence interval None In an ANOVA test, what does a high F-statistic suggest? No significant difference between groups Equal variances between groups No variation in data A significant difference between groups None What does an R-squared value of 0.85 indicate in a regression model? 85% of the variance in the dependent variable is explained by the independent variable 85% of the data points fit the normal distribution The correlation coefficient is 0.85 The model is inaccurate None What is the primary function of a control chart? To compare two different processes To determine if a process is stable To forecast future trends To rank defects by severity None A Type I error occurs when: A false null hypothesis is not rejected A study has insufficient power A true null hypothesis is rejected Data are collected incorrectly None What is a confidence interval? A range of values that likely contains the true population parameter The range of a dataset The probability of a hypothesis being true A measurement of variance None In hypothesis testing, what does the null hypothesis (H0) typically represent? The claim being tested The alternative hypothesis The most extreme value The sample mean None The purpose of a scatter plot is to: Display frequency distributions Monitor process stability Rank categorical data Show the relationship between two variables None What is a key assumption of ANOVA? Equal variances among groups Data must be ordinal Only two groups are compared The mean and median must be equal None Which probability distribution is typically used for modeling defect rates? Normal Distribution Poisson Distribution Binomial Distribution Uniform Distribution None A process capability index (Cp) greater than 1.0 indicates: The process is capable of meeting specifications The process is not capable The process needs improvement The process is centered None Which Lean tool is used to visually map a process to identify waste? Histogram Value Stream Mapping Regression Analysis Chi-Square Test None What is the primary goal of Design of Experiments (DOE)? To visualize process performance To collect random data To identify factors affecting a process To conduct surveys None What does a high correlation coefficient (close to ±1) indicate? A weak relationship between variables No relationship at all A strong relationship between two variables A skewed distribution None What is the primary function of a Gantt chart in project management? To display the project schedule visually To allocate project costs To track only the critical path To measure team performance None In hypothesis testing, what is a Type II error? Rejecting a true null hypothesis Using an incorrect test statistic Incorrectly calculating the p-value Accepting a false null hypothesis None What is the primary purpose of regression analysis? To compare means of different groups To visualize data trends To predict the value of a dependent variable based on one or more independent variables To calculate standard deviation None What is the primary purpose of a time series analysis? To compare categorical variables To establish causality To create control charts To analyze data points collected over time None What does the term "kaizen" mean in Lean methodology? Waste elimination Quality control Continuous improvement Customer satisfaction None In probability, the complement rule states that: The sum of probabilities is greater than 1 The probability of an event not occurring is 1 minus the probability of it occurring Events are always mutually exclusive Probabilities can be negative None 29. What is the total surface area of a cube with side 6 cm? 216 cm² 108 cm² 72 cm² 36 cm² None 30. The speed of a car is 60 km/h. How much distance will it cover in 2.5 hours? 120 km 150 km 160 km 180 km None 1 out of 6 Time's upTime is Up! Post Views: 68
