18 workers at a large assembly plant were asked the time it took to commute to work. The data was analyzed in Minitab and the Descriptive Statistics for the data appears below.

Descriptive Statistics: Minutes
Variable N Mean Median TrMean StDev SE Mean
Minutes 18 30.06 29.50 30.06 5.68 1.34

Variable Minimum Maximum Q1 Q3
Minutes 19.00 41.00 26.50 34.00

What is your question?

To analyze the data provided, the workers at the assembly plant were asked about the time it took them to commute to work. The data was then analyzed using a statistical software called Minitab to calculate the descriptive statistics.

The descriptive statistics provide the following information:

1. N (Number of observations): In this case, there were 18 workers who provided responses about their commute time.

2. Mean (Average): The mean is calculated by adding up all the commute times and dividing it by the total number of observations. In this case, the mean commute time is 30.06 minutes.

3. Median: The median is the middle value in the sorted list of commute times. In this case, the median commute time is 29.50 minutes.

4. TrMean (Trimmed Mean): The trimmed mean is calculated by removing a certain percentage of extreme values (usually both the highest and lowest values) and then calculating the mean of the remaining values. In this case, since the TrMean is the same as the Mean, it means no extreme values were trimmed.

5. StDev (Standard Deviation): The standard deviation measures the spread of the data points around the mean. In this case, the standard deviation of the commute times is 5.68 minutes.

6. SE Mean (Standard Error of the Mean): The standard error of the mean estimates the variability of the sample mean. It is calculated by dividing the standard deviation by the square root of the number of observations. In this case, the standard error of the mean commute time is 1.34 minutes.

7. Minimum: The minimum commute time reported by the workers is 19.00 minutes.

8. Maximum: The maximum commute time reported by the workers is 41.00 minutes.

9. Q1 (First Quartile): The first quartile represents the value below which 25% of the commute times fall. In this case, the first quartile is 26.50 minutes.

10. Q3 (Third Quartile): The third quartile represents the value below which 75% of the commute times fall. In this case, the third quartile is 34.00 minutes.

These descriptive statistics provide a summary and understanding of the commute times reported by the workers at the assembly plant.