Question
A researcher at an auto insurance company is studying accident occurrences at a dangerous intersection and makes the claim that the average age of a
A researcher at an auto insurance company is studying accident occurrences at a dangerous intersection and makes the claim that the average age of a driver involved in an accident at this intersection is more than35
years old.
To test this claim, the auto insurance company plans to conduct a hypothesis test for the age of drivers involved in accidents at this particular intersection. The auto insurance company collects a sample of65
accidents and finds that the average age of drivers involved in accidents is35.4
. From this sample data, the sample standard deviation is determined to be1.75
.
The null and alternative hypothesis for this hypothesis test is as follows:
H
0
:?=35
;H
a
:?>35
, which is a right-tailed test.
The auto insurance company is planning to use a level of significance of5%
for this hypothesis test.
Use a TI-83, TI-83 plus, or TI-84 calculator to test the claim that the average age of a driver involved in an accident at this intersection is more than35
years old.
Identify the test statistic,t
, andp
-value from the calculator output, rounding to three decimal places.
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