Question

The city of St. Louis wants drivers to drive slowly in town! The city is wondering if their speed bumps are too high and if they should invest millions of dollars to repave their roads containing speed bumps. They take a simple random sample of 42 speed bumps in town and find that they have a mean height of 3.6 inches. It is known that the standard deviation of 0.2 inches. If the city finds that the speed bumps are higher than 3.3 inches they will repave. Test the claim that the mean height of speed bumps in Moorpark are more than 3.3 inches with a 95% confidence level.

Answer 1

The test hypothesis is

This is a right-tailed test because the alternative hypothesis is formulated to detect claim if difference of data is more than 0.
Now, the value of test static can be found out by following formula:

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