In the Western United States there is a saying, "Whisky is for drinken but water is for fighten!" Water and water rights have been fought over ever since ranchers and settlers moved into Wyoming, Montana, and the West. Even today farmers and ranchers fight cities and large developments over water from snowmelt that originates deep in the Rocky Mountains.A river starts in a massive and beautiful lake. Then it flows through prime trout fishing areas to a famous waterfall. After it leaves the park, the river is an important source of water for wildlife, ranchers, farmers, and cities downstream. How much water does leave the park each year? The annual flow of the river (units 108 cubic meters) is shown here for 19 recent years. 25.9 32.4 33.1 19.1 17.5 24.9 21.0 45.1 30.8 34.3 27.1 29.1 25.6 31.8 23.6 24.1 23.9 25.9 18.6 (a) Is there a "guaranteed" amount of water farmers, ranchers, and cities will get from the river each year? Yes, flows occur at the same rate at corresponding times throughout the year.Yes, flows average out to the same value across each year. No, annual flows change at a steady rate from year to year.No, annual flows are a random variable.Yes, flows occur at a constant rate. (b) What is the "expected" annual flow from the snowmelt? Find the mean, median, and mode. (Round your answers to two decimal places.) mean median mode (c) Find the range and standard deviation of annual flow. (Round your answers to two decimal places.) range standard deviation (d) Find a 75% Chebyshev interval around the mean. (Round your answers to two decimal places.) Lower Limit Upper Limit (e) Give a five-number summary of annual water flow from the river. min Q1 median Q3 max Make a box-and-whisker plot. Interpret the five-number summary and the box-and-whisker plot. Where does the middle portion of the data lie? The middle portion of the data are found to have an annual flow between a lower value of and a higher value of . The total spread of annual flows goes from a lower value of to a higher value of . What is the interquartile range?Can you find data outliers? (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) 45.1 (f) Another river is a smaller but very important source of water flowing out of the park from a different drainage. Ten recent years of annual water flow data are shown below (units 108 cubic meters). 3.83 3.81 4.01 4.84 5.81 5.50 4.31 5.81 4.31 4.27 Although smaller, is the new river more reliable? Use the coefficient of variation to make an estimate. (Round your answers to two decimal place.) original river's coefficient of variation smaller river's coefficient of variation What do you conclude? The original river is more consistent.The smaller river is more consistent. Neither river is more consistent. (g) Based on the data, would it be safe to allocate at least 30 units of the orginal river water each year for agricultural and domestic use? Why or why not? Yes, Q1 is greater than 30 which means over three quarters of the river flows are at or above 30.No, the median is less than 30 which means more than half the river flows are below 30. No, Q3 is less than 30 which means more than three quarters of the river flows are below 30.No, since 30 is an upper outlier it will be very rare to have a flow at or above 30.Yes, since 30 is an lower outlier it will be very rare to have a flow below 30.

In the Western United States there is a saying, "Whisky is for drinken but water is for fighten!" Water and water rights have been fought over ever since ranchers and settlers moved into Wyoming, Montana, and the West. Even today farmers and ranchers fight cities and large developments over water from snowmelt that originates deep in the Rocky Mountains.A river starts in a massive and beautiful lake. Then it flows through prime trout fishing areas to a famous waterfall. After it leaves the park, the river is an important source of water for wildlife, ranchers, farmers, and cities downstream. How much water does leave the park each year? The annual flow of the river (units 108 cubic meters) is shown here for 19 recent years. 25.9 32.4 33.1 19.1 17.5 24.9 21.0 45.1 30.8 34.3 27.1 29.1 25.6 31.8 23.6 24.1 23.9 25.9 18.6 (a) Is there a "guaranteed" amount of water farmers, ranchers, and cities will get from the river each year? Yes, flows occur at the same rate at corresponding times throughout the year.Yes, flows average out to the same value across each year. No, annual flows change at a steady rate from year to year.No, annual flows are a random variable.Yes, flows occur at a constant rate. (b) What is the "expected" annual flow from the snowmelt? Find the mean, median, and mode. (Round your answers to two decimal places.) mean median mode (c) Find the range and standard deviation of annual flow. (Round your answers to two decimal places.) range standard deviation (d) Find a 75% Chebyshev interval around the mean. (Round your answers to two decimal places.) Lower Limit Upper Limit (e) Give a five-number summary of annual water flow from the river. min Q1 median Q3 max Make a box-and-whisker plot. Interpret the five-number summary and the box-and-whisker plot. Where does the middle portion of the data lie? The middle portion of the data are found to have an annual flow between a lower value of and a higher value of . The total spread of annual flows goes from a lower value of to a higher value of . What is the interquartile range?Can you find data outliers? (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) 45.1 (f) Another river is a smaller but very important source of water flowing out of the park from a different drainage. Ten recent years of annual water flow data are shown below (units 108 cubic meters). 3.83 3.81 4.01 4.84 5.81 5.50 4.31 5.81 4.31 4.27 Although smaller, is the new river more reliable? Use the coefficient of variation to make an estimate. (Round your answers to two decimal place.) original river's coefficient of variation smaller river's coefficient of variation What do you conclude? The original river is more consistent.The smaller river is more consistent. Neither river is more consistent. (g) Based on the data, would it be safe to allocate at least 30 units of the orginal river water each year for agricultural and domestic use? Why or why not? Yes, Q1 is greater than 30 which means over three quarters of the river flows are at or above 30.No, the median is less than 30 which means more than half the river flows are below 30. No, Q3 is less than 30 which means more than three quarters of the river flows are below 30.No, since 30 is an upper outlier it will be very rare to have a flow at or above 30.Yes, since 30 is an lower outlier it will be very rare to have a flow below 30.

Name: In the Western United States there is a saying, "Whisky is for drinken
Uploaded: 2024-03-05T11:52:21.000Z
Channel: Bartleby
Description: In the Western United States there is a saying, "Whisky is for drinken but water is for fighten!" Water and water rights have been fought over ever since ranchers and settlers moved into Wyoming, Montana, and the West. Even today farmers and ranchers

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Topic Video

Question

25.9	32.4	33.1	19.1	17.5	24.9	21.0	45.1	30.8	34.3
27.1	29.1	25.6	31.8	23.6	24.1	23.9	25.9	18.6

(a) Is there a "guaranteed" amount of water farmers, ranchers, and cities will get from the river each year?

Yes, flows occur at the same rate at corresponding times throughout the year.Yes, flows average out to the same value across each year. No, annual flows change at a steady rate from year to year.No, annual flows are a random variable.Yes, flows occur at a constant rate.

(b) What is the "expected" annual flow from the snowmelt? Find the mean, median, and mode. (Round your answers to two decimal places.)

mean
median
mode

range
standard deviation

(d) Find a 75% Chebyshev interval around the mean. (Round your answers to two decimal places.)

Lower Limit
Upper Limit

(e) Give a five-number summary of annual water flow from the river.

min	Q1	median	Q3	max

Make a box-and-whisker plot.

Interpret the five-number summary and the box-and-whisker plot. Where does the middle portion of the data lie?

The middle portion of the data are found to have an annual flow between a lower value of and a higher value of . The total spread of annual flows goes from a lower value of to a higher value of .

What is the interquartile range?

Can you find data outliers? (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

45.1

(f) Another river is a smaller but very important source of water flowing out of the park from a different drainage. Ten recent years of annual water flow data are shown below (units 10⁸ cubic meters).

3.83

3.81

4.01

4.84

5.81

5.50

4.31

5.81

4.31

4.27

Although smaller, is the new river more reliable? Use the coefficient of variation to make an estimate. (Round your answers to two decimal place.)

original river's coefficient of variation
smaller river's coefficient of variation

What do you conclude?

The original river is more consistent.The smaller river is more consistent. Neither river is more consistent.

(g) Based on the data, would it be safe to allocate at least 30 units of the orginal river water each year for agricultural and domestic use? Why or why not?

Yes, Q1 is greater than 30 which means over three quarters of the river flows are at or above 30.No, the median is less than 30 which means more than half the river flows are below 30. No, Q3 is less than 30 which means more than three quarters of the river flows are below 30.No, since 30 is an upper outlier it will be very rare to have a flow at or above 30.Yes, since 30 is an lower outlier it will be very rare to have a flow below 30.

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Application of Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.