Mitchell Zebro Minitab Assignment 1 PDF

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Mitchell S. Zebro and Matt Anderson Descriptive Statistics: Cycles to Breakage Variable Cycles to Breakage

Mean 222.0

StDev 144.6

Variance 20914.4

Q1 125.8

Median 195.5

Q3 283.5

IQR 157.8

1) What do our descriptive statistics suggest about the symmetry or skewness of this dataset? -The Data suggests that that this seems to be fairly symmetrical with the mean and the median being close together, however, looking at the data this may have a positive skewness. Boxplot of Cycles to Breakage

Dotplot of Cycles to Breakage 900 800

0

120

240

360 480 Cycles to Breakage

600

720

840

Cycles to Breakage

700 600 500 400 300 200 100 0

2)

Do these plots support your conclusion in problem (1)? -Yes, we see that the data is symmetrical and has a skewness in the positive direction when you include the outliers. Do they indicate any outliers in this data set? -Yes, We see in both the dot plot and the box plot that the we have values that are well outside the value of 520.2 which was found using the equation 𝑸𝟑 + 𝟏. 𝟓 ∗ 𝑰𝑸𝑹. (it seems like there are four data points). Histogram of Cycles to Breakage

Histogram of Cycles to Breakage

25

35 30

20

Frequency

Frequency

25

15

10

20 15 10

5 5

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0

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300 450 Cycles to Breakage

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750

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400 600 Cycles to Breakage

800

3) Do these support your symmetry/skewness conclusion? - Yes, the histograms has a positive skewness and is quite symmetrical. Do your histograms give you any reason to suspect multiple modes (subpopulations) in this data? - No, I believe that the date for the most part is unimodal. Which histogram do you prefer?

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I believe the second histogram best represents our data. Chart of Injury

Pie Chart of Injury Category AC L tear MC L tear mensical tear patella dislocation PC L tear

25 6.6%

2.6%

Count

20

27.6%

15

32.9%

10

5

30.3%

0 mensical tear

MCL tear

ACL tear Injury

patella dislocation

PCL tear

4) What is the most frequently occurring injury? - The most occurring Injury is the Mensical tear. The least Frequent? - The PCL tear The three most commonly occurring injuries account together for what percent of all injuries? - ACL tear, and MCL tear, and Mensical tear, account for 90.8%. Chart of Manufacturer, Shelf

Chart of Manufacturer, Shelf

25

Shelf 3 2 1

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8

15

6

Count

Count

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4

10

2

5

0 Manufacturer

General Mills

Kellogs

Other

0 Shelf Manufacturer

1 2 3 General Mills

1

2 3 Kellogs

1

2 3 Other

5) What are some of the key ways in which the manufacturers differ by distribution of self-usage? -Looking at the data the General Mills tends to stack their products fairly evenly between shelves. Using the data Kellogs tends to stack most of their products on shelves 2 and 3, farther away from the flour and more at eye level. The “Other” brands tend to stack their products on shelves 1 and 3.

Boxplot of Control, Treatment1, Treatment2 6.5

6.0

Data

5.5

5.0

4.5

4.0

3.5 Control

Treatment1

Treatment2

6) A) which condition appears to produce the greatest growth? The least? -

Treatment 2 appears to produce the most growth in the plants. As we see in the boxplot, treatment 1 seems to stunt the growth of the plant more that the control group. So treatment 1 produces the least amount of growth. Boxplot of count 25

count

20

15

10

5

0 A

B

C

D

E

F

spray

6)

B) What conclusions can you draw about the effectiveness of the six insecticides? - As we can see in the data the insecticides labeled A, B, and F had the highest counts of insects while insecticides C, D, and E seemed to be more effective in killing the insects....