Step 1 – State Hypothesis in context of the problem.
Step 2 – Gather data, check assumptions, and find rejection region using α.
Step 3 – Calculate the appropriate test statistic and p-value.
Step 4 – State conclusion in context of the problem.
Step 1
Step 2
Step 3
Step 4
A property and casualty insurance company (which provides fire coverage for dwellings) felt that the mean...
A fire insurance company thought that the mean distance from a home to the nearest fire department in a suburb of Chicago was at least 4.6 miles. It set its fire insurance rates accordingly. Members of the community set out to show that the mean distance was less than 4.6 miles. This, they thought, would convince the insurance company to lower its rates. They randomly indentified 61 homes and measured the distance to the nearest fire department from each. The...
A fire insurance company thought that the mean distance from a home to the nearest fire department in a suburb of Chicago was at least 4.5 miles. It set its fire insurance rates accordingly. Members of the community set out to show that the mean distance was less than 4.5 miles. This, they thought, would convince the insurance company to lower its rates. They randomly indentified 52 homes and measured the distance to the nearest fire department from each. The...
1. A fire insurance company thought that the mean distance from a home to the nearest fire department in a suburb of Chicago was at least 5.3 miles. It set its fire insurance rates accordingly. Members of the community set out to show that the mean distance was less than 5.3 miles. This, they thought, would convince the insurance company to lower its rates. They randomly indentified 57 homes and measured the distance to the nearest fire department from each....
A fire insurance company thought that the mean distance from a home to the nearest fire department in a suburb of Chicago was at least 4.6 miles. It set its fire insurance rates accordingly. Members of the community set out to show that the mean distance was less than 4.6 miles. This, they thought, would convince the insurance company to lower its rates. They randomly indentified 61 homes and measured the distance to the nearest fire department from each. The...
2. Suppose a fire insurance company wants to relate the amount of fire damage in major residential fires to the distance between the burning house and the nearest fire station. A random sample of 15 fires in a large suburb is selected. The amount of damage (thousands of dollars) and the distance (miles) between the fire and the nearest fire station are recorded for each fire. The following simple linear regression model was used: Fire Damagei=B0+B1(Distance from Fire Station)i+Ei Coefficients...
Waterbury Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (x) and the amount of fire damage, in thousands of dollars (). The MegaStat output is reported below ANOVA table...
Waterbury Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (x) and the amount of fire damage, in thousands of dollars (). The MegaStat output is reported below. ANOVA table...
Waterbury Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (x) and the amount of fire damage, in thousands of dollars (%). The MegaStat output is reported here: df ANOVA...
Waterbury Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (x) and the amount of fire damage, in thousands of dollars (). The MegaStat output is reported here: ANOVA table...
A fire insurance company wants to see if the amount of fire damage (y) in major residential fires is related to the distance between the residence and the nearest fire station (x). The study is to be conducted in a large suburb of a major city, a sample of 15 recent fires in this suburb is selected. The 15 values and the printout follow: A) State the Null and Alternative Hypotheses. In Excel B) Construct a scatter diagram for the...