Minitab Assignment Number 2

The following data are commute times (in minutes) from your professor’s home to work for 25 consecutive workdays. Key the data in Minitab in C1 and name the column Commute Times.

Construct a histogram in Minitab of your professor’s commute times. Your first Minitab assignment walks you through how to create a histogram, and there are videos in your Canvas course.

Make sure your histogram includes the following:

Appropriate title

Appropriate time units identified in the plot on the x-axis (title)

Footnote explaining what the class length is and an example of the first-class lower and upper boundaries.

Copy graph below this line and size it as: 4 X 6

Explain the shape of the histogram in detail, what, why, when, how

Questions:

What is the shape of the histogram, and explain in detail the what, why, when, how, etc.?

What is the class length?

What would you recommend at this point and why?

The 21stcommute time, 37.4 minutes, reflects a day when your professor left home without his laptop computer and had to turn around to retrieve it. Remove this outlier from the data set and reconstruct the histogram.

Copy the second histogram below this line and size it 4 X 6

Explain the shape of the histogram in detail, what, why, when, how

What is the shape of the histogram and explain in detail the what, why, when, how, etc.?

What is the class length?

What would you recommend at this point and why?

Run Basic Statistics on the data in column C1.

.> Go to Stat>Basic Statistics>Display Distributive Statistics and select the column. Select the Statistics button and select the options we have learned in class: mean, sd, variance, coefficient of variation, first quartile, median, third quartile, interquartile range, mode, minimum, maximum, range.

Statistics

Variable

Mean

SE Mean

StDev

Variance

CoefVar

Minimum

Q1

Median

Q3

Maximum

C2

18.131

0.0883

0.442

0.195

2.44

17.200

17.850

18.100

18.435

19.100

Variable

Range

IQR

Mode

N for

Mode

C2

1.900

0.585

18

5

Answer these questions

By looking at the results, what makes you think the shape is symmetrical? Explain

Explain coefVar

Explain Q1, Q3, IQR

Explain the variance and how we use it

What is the interval for 68, 95, 99 percentage of the data?

What would be your cursory prediction be about the professor’s commute times?

Below is a stem-and-leaf plot of the NBA teams’ payroll salaries for the 2013-14 season, in millions of dollars.

How many teams had salaries of at least 70 million dollars?

What is the median team salary for the 30 NBA teams?

What percentage of teams had salaries at least 59 million?

What salary represents the 75 percentile?

What shape is the data?

What percentile is the fifth position number of 59 million?

Below are the ages at which U.S. presidents began their first terms, increasing in order from George Washington to Barack Obama, with Grover Cleveland serving 2 nonconsecutive terms. This is an entire population of data, not a sample.

(a) Create a histogram and run basic statistics.

Explain what you see in detail:

Statistics

Variable

Mean

SE Mean

StDev

Variance

CoefVar

Minimum

Q1

Median

Q3

Maximum

C3

54.432

0.895

5.935

35.228

10.90

42.000

51.000

54.500

57.750

69.000

Variable

Range

IQR

Mode

N for

Mode

C3

27.000

6.750

51, 54

5