3. An article by S. M. Berry titled “Drive for Show and Putt for Dough (Chance, Vol 12(4), pg 50-54)” discussed driving distances of PGA players. The mean distance for tee shots on the 1999 men’s PGA tour is 272.2 yards with a standard deviation of 8.12 yards. Assuming that the 1999 tee-shot distances are normally distributed, find the percentage of such tee shots that went a. between 260 and 280 yards. b. more than 300 yards.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

3. An article by S. M. Berry titled “Drive for Show and Putt for Dough (Chance, Vol 12(4), pg 50-54)” discussed driving distances of PGA players. The mean distance for tee shots on the 1999 men’s PGA tour is 272.2 yards with a standard deviation of 8.12 yards. Assuming that the 1999 tee-shot distances are normally distributed, find the percentage of such tee shots that went

a. between 260 and 280 yards.

b. more than 300 yards.

4. Do Exercise 6.103 on page 288 in the textbook. Show work.

(image attached)

5. Refer to question 3 in this homework. The article “Drive for Show and Putt for Dough (Chance, Vol 12(4), pg 50-54)” discussed driving distances of PGA players. The mean distance for tee shots on the 1999 men’s PGA tour is 272.2 yards with a standard deviation of 8.12 yards. Assuming that the 1999 tee-shot distances are normally distributed answer the following questions:

a. Determine the quartiles of the driving distances

b. Find the 95th percentile. 

c. Obtain the third decile (i.e. 30th percentile). 

d. Interpret your answers in parts a-c

6. Use Excel to answer questions (3), (4) and (5) a-c above (i.e. repeat the hand- calculations using Excel. Label questions appropriately in excel worksheets. Hand in Excel output.

**Gibbon Song Duration Study**

A preliminary behavioral study of the Jingdong black gibbon, a primate endemic to the Wuliang Mountains in China, found that the mean song bout duration in the wet season is 12.59 minutes with a standard deviation of 5.31 minutes.

**Source:** L. Sheeran et al., “Preliminary Report on the Behavior of the Jingdong Black Gibbon (*Hylobates concolor jingdongensis*),” *Tropical Biodiversity*, Vol. 5(2), pp. 113–125.

Assuming that song bout duration is normally distributed, determine the percentage of song bouts with durations within:

a. One standard deviation to either side of the mean.
b. Two standard deviations to either side of the mean.
c. Three standard deviations to either side of the mean.
Transcribed Image Text:**Gibbon Song Duration Study** A preliminary behavioral study of the Jingdong black gibbon, a primate endemic to the Wuliang Mountains in China, found that the mean song bout duration in the wet season is 12.59 minutes with a standard deviation of 5.31 minutes. **Source:** L. Sheeran et al., “Preliminary Report on the Behavior of the Jingdong Black Gibbon (*Hylobates concolor jingdongensis*),” *Tropical Biodiversity*, Vol. 5(2), pp. 113–125. Assuming that song bout duration is normally distributed, determine the percentage of song bouts with durations within: a. One standard deviation to either side of the mean. b. Two standard deviations to either side of the mean. c. Three standard deviations to either side of the mean.
Expert Solution
Step 1

Hey there! Thank you for posting the question. Since there are multiple questions posted, we will answer the first question. If you want any specific question to be answered then please submit that question only or specify the question number in your message.

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman