Medicare's new medical plans offer a wide range of variations and choices for seniors when picking a drug plan. The monthly cost for a stand-alone drug plan varies from plan to plan and from state to state. The accompanying table gives the premium for the plan with the lowest cost for each state. State Cost per Month (dollars) Alabama 3.84 Alaska 1.87 Arizona 13.87 Arkansas 8.26 California 19.88 Colorado 10.63 Connecticut 4.34 Delaware 6.29 District of Columbia 7.01 Florida 17.73 Georgia 12.39 Hawaii 6.22 Idaho 9.73 Illinois 20.86 Indiana 3.28 Iowa 8.86 Kansas 1.87 Kentucky 8.75 Louisiana 9.65 Maine 1.87 Maryland 6.78 Massachusetts 10.68 Michigan 17.59 Minnesota 8.99 Mississippi 9.60 Missouri 10.10 Montana 10.13 Nebraska 10.33 Nevada 1.87 New Hampshire 10.00 New Jersey 13.92 New Mexico 8.87 New York 13.17 North Carolina 17.90 North Dakota 12.55 Ohio 1.87 Oklahoma 6.41 Oregon 1.87 Pennsylvania 15.68 Rhode Island 6.96 South Carolina 7.20 South Dakota 10.16 Tennessee 12.75 Texas 20.45 Utah 14.25 Vermont 7.28 Virginia 10.61 Washington 7.11 West Virginia 6.60 Wisconsin 8.98 Wyoming 8.44 (a) Use class intervals of $0 to <$3, $3 to <$6, $6 to <$9, etc., to create a relative frequency distribution for these data. (Round your answers for relative frequency to three decimal places.) Class Interval Frequency Relative Frequency $0 - <$3     $3 - <$6 3 0.059 $6 - <$9     $9 - <$12     $12- <$15     $15 - <$18 4 0.078 $18 - <$21 3 0.059 TOTAL 51   (b) Construct a histogram.   Comment on its shape. This is a bimodal distribution with peaks at the 12-15 and 18-21 classes. The distribution is negatively skewed.This is a unimodal distribution with a peak at the 9-12 class. The distribution is reasonably symmetric.    This is a unimodal distribution with a peak at the 0-3 class. The distribution is positively skewed.This is a bimodal distribution with peaks at the 0-3 and 6-9 classes. The distribution is positively skewed. (c) Using the relative frequency distribution or the histogram, estimate the proportion of the states that have a minimum monthly cost of less than $12.00 a month. (Round your answer to one decimal place.)  %

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
icon
Concept explainers
Topic Video
Question

Medicare's new medical plans offer a wide range of variations and choices for seniors when picking a drug plan. The monthly cost for a stand-alone drug plan varies from plan to plan and from state to state. The accompanying table gives the premium for the plan with the lowest cost for each state.

State Cost per Month (dollars)
Alabama 3.84
Alaska 1.87
Arizona 13.87
Arkansas 8.26
California 19.88
Colorado 10.63
Connecticut 4.34
Delaware 6.29
District of Columbia 7.01
Florida 17.73
Georgia 12.39
Hawaii 6.22
Idaho 9.73
Illinois 20.86
Indiana 3.28
Iowa 8.86
Kansas 1.87
Kentucky 8.75
Louisiana 9.65
Maine 1.87
Maryland 6.78
Massachusetts 10.68
Michigan 17.59
Minnesota 8.99
Mississippi 9.60
Missouri 10.10
Montana 10.13
Nebraska 10.33
Nevada 1.87
New Hampshire 10.00
New Jersey 13.92
New Mexico 8.87
New York 13.17
North Carolina 17.90
North Dakota 12.55
Ohio 1.87
Oklahoma 6.41
Oregon 1.87
Pennsylvania 15.68
Rhode Island 6.96
South Carolina 7.20
South Dakota 10.16
Tennessee 12.75
Texas 20.45
Utah 14.25
Vermont 7.28
Virginia 10.61
Washington 7.11
West Virginia 6.60
Wisconsin 8.98
Wyoming 8.44
(a) Use class intervals of $0 to <$3, $3 to <$6, $6 to <$9, etc., to create a relative frequency distribution for these data. (Round your answers for relative frequency to three decimal places.)
Class Interval Frequency Relative Frequency
$0 - <$3    
$3 - <$6 3 0.059
$6 - <$9    
$9 - <$12    
$12- <$15    
$15 - <$18 4 0.078
$18 - <$21 3 0.059
TOTAL 51  

(b) Construct a histogram.
 
Comment on its shape.
This is a bimodal distribution with peaks at the 12-15 and 18-21 classes. The distribution is negatively skewed.This is a unimodal distribution with a peak at the 9-12 class. The distribution is reasonably symmetric.    This is a unimodal distribution with a peak at the 0-3 class. The distribution is positively skewed.This is a bimodal distribution with peaks at the 0-3 and 6-9 classes. The distribution is positively skewed.

(c) Using the relative frequency distribution or the histogram, estimate the proportion of the states that have a minimum monthly cost of less than $12.00 a month. (Round your answer to one decimal place.)
 %
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
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.
Similar 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