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.)  %

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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.)
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