Discuss the following in detail:
Q1.The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is mound shaped and symmetric with a mean of 25.9 mpg and a standard deviation of 9.5 mpg. If 30 such cars are tested, what is the probability the average mpg achieved by these 30 cars will be greater than 28?
Q2. The length of time to complete a door assembly on an automobile factory assembly line is normally distributed with mean 6.7 minutes and standard deviation 2.2 minutes. For a door selected at random, what is the probability the assembly line time will be between 5 and 10 minutes?
Q3. On average, what percentage of the people in the fifty states and the District of Columbia does not have health insurance?
The table below contains data on the percentage of people without health insurance coverage. These data are based on samples taken in 2004 for the fifty states and the District of Columbia.
|
State
|
|
|
State
|
|
|
State
|
|
|
Alabama
|
13.5
|
|
Kentucky
|
14.6
|
|
North Dakota
|
8.3
|
|
Alaska
|
12.5
|
|
Louisiana
|
20.5
|
|
Ohio
|
11.9
|
|
Arizona
|
20.4
|
|
Maine
|
13.5
|
|
Oklahoma
|
19.2
|
|
Arkansas
|
17.9
|
|
Maryland
|
15.3
|
|
Oregon
|
12.5
|
|
California
|
20.6
|
|
Massachusetts
|
11.1
|
|
Pennsylvania
|
9.9
|
|
Colorado
|
14.8
|
|
Michigan
|
9.7
|
|
Rhode Island
|
12.9
|
|
Connecticut
|
8.8
|
|
Minnesota
|
8.0
|
|
South Carolina
|
14.6
|
|
Delaware
|
15.7
|
|
Mississippi
|
19.7
|
|
South Dakota
|
9.4
|
|
District of Columbia
|
17.3
|
|
Missouri
|
14.6
|
|
Tennessee
|
14.8
|
|
Florida
|
18.3
|
|
Montana
|
12.7
|
|
Texas
|
24.5
|
|
Georgia
|
17.9
|
|
Nebraska
|
9.0
|
|
Utah
|
11.7
|
|
Hawaii
|
8.9
|
|
Nevada
|
18.7
|
|
Vermont
|
13.2
|
|
Idaho
|
14.0
|
|
New Hampshire
|
10.0
|
|
Virginia
|
13.5
|
|
Illinois
|
11.0
|
|
New Jersey
|
14.2
|
|
Washington
|
12.4
|
|
Indiana
|
12.6
|
|
New Mexico
|
25.6
|
|
West Virginia
|
15.3
|
|
Iowa
|
11.3
|
|
New York
|
15.2
|
|
Wisconsin
|
7.3
|
|
Kansas
|
12.4
|
|
North Carolina
|
14.3
|
|
Wyoming
|
15.9
|