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# Perform hypothesis testing under t distribution with given data

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I'm working on a project that deals with the impact of age on helicopter pilots and want to see if that after age 40 accidents occur more frequently. I would like to use a T test to test this but an unsure how to go about doing it.
I think the hypothesis would be:
H1: Accidents occur more frequently above the age of 40.
H0: Number of accidents above age 40 are the same as below that age.
There are a total of 50 randomly selected accidents
The mean age is 48.12
The age standard deviation is
Age Range Frequency
24-31 5
32-39 8
40-46 8
47-54 9
55-62 16
63-70 4.

https://brainmass.com/statistics/students-t-test/perform-hypothesis-testing-under-tdistribution-data-605538

#### Solution Preview

Answer: we first calculate the mean and standard deviation of 50 data points.

Age Range Frequency Midpoint
24-31 5 (24+31)/2=27.5
32-39 8 (32+39)/2=35.5
40-46 8 (40+46)/2=43
47-54 ...

#### Solution Summary

The solution gives detailed steps on performing a hypothesis testing under t distribution with given data.

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