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A city officials claim that average transit usage in the city is less than 20%. Based...

A city officials claim that average transit usage in the city is less than 20%. Based on previous studies in different parts of the city, it is known that the share of transit is normally distributed in the city with a standard deviation of 3.5. A research group collected data for different parts of the city and ended up with 12 observations for transit usage in different parts of the city: 20, 18, 19, 16, 18, 26, 22, 19, 24, 16, 14, 17

a. Carry out an appropriate hypothesis test to examine the validity of the city officials.

b. Evaluate the claim if the assumption about the standard deviation of 3.5 is not considered.

Math   Statistics-And-Probability   
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