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StatisticsProbability and Statistics for Engineering and the SciencesGrip is applied to produce normal surface forces that compress the object being gripped. Examples include two people shaking hands, or a nurse squeezing a patient’s forearm to stop bleeding. The article “Investigation of Grip Force, Normal Force, Contact Area, Hand Size, and Handle Size for Cylindrical Handles” ( Human Factors , 2008: 734-744) included the following data on grip strength (N) for a sample of 42 individuals: a. Construct a stem-and-leaf display based on repeating each stem value twice, and comment on interesting features. b. Determine the values of the fourths and the fourthspread. c. Construct a boxplot based on the five-number summary, and comment on its features. d. How large or small does an observation have to be to qualify as an outlier? An extreme outlier? Are there any outliers? e. By how much could the observation 403, currently the largest, be decreased without affecting f s ?BuyFind*arrow_forward*

9th Edition

Jay L. Devore

Publisher: Cengage Learning

ISBN: 9781305251809

Chapter 1.4, Problem 54E

Textbook Problem

Grip is applied to produce normal surface forces that compress the object being gripped. Examples include two people shaking hands, or a nurse squeezing a patient’s forearm to stop bleeding. The article “Investigation of Grip Force, Normal Force, Contact Area, Hand Size, and Handle Size for Cylindrical Handles” (*Human Factors*, 2008: 734-744) included the following data on grip strength (N) for a sample of 42 individuals:

**a.**Construct a stem-and-leaf display based on repeating each stem value twice, and comment on interesting features.**b.**Determine the values of the fourths and the fourthspread.**c.**Construct a boxplot based on the five-number summary, and comment on its features.**d.**How large or small does an observation have to be to qualify as an outlier? An extreme outlier? Are there any outliers?**e.**By how much could the observation 403, currently the largest, be decreased without affecting*f*?_{s}

Expert Solution

**a.**

To determine

Draw the stem and leaf graph.

Comment on the interesting features of the data set.

**Given info:**

The data represents the grip strength (N) for a sample of 42 individuals.

**Calculation:**

*Stem and leaf plot:*

**Software procedure:**

Step by step procedure to draw the stem and leaf graph using MINITAB software.

- Select
**Graph**>**Stem and leaf**. - Select
**Grip strength**in Graph variables. - Select
**OK**...

Expert Solution

**b.**

To determine

Find the values of fourths and fourth spreads.

Expert Solution

**c.**

To determine

Draw the box plot based on five number summary.

Comment on the interesting features of boxplot.

Expert Solution

**d.**

To determine

Identify the values which decide the observations of data set as outliers and an extreme outlier.

Check whether the data set contains any outliers.

Expert Solution

**e.**

To determine

Find the maximum decrement in the highest observation 403N without affecting the fourth spread.

Probability and Statistics for Engineering and the Sciences

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