Exercise 9-22 Algo It is advertised that the average brakingdistance for a small car traveling at 65 miles per hour equals 120feet. A transportation researcher wants to determine if thestatement made in the advertisement is false. She randomly testdrives 34 small cars at 65 miles per hour and records the brakingdistance. The sample average braking distance is computed as 116feet. Assume that the population standard deviation is 22 feet.(You may find it useful to reference the appropriate table: z tableor t table)
a. State the null and the alternative hypotheses for the test.H0: μ = 120; HA: μ ≠120 H0: μ ≥ 120; HA: μ < 120 H0: μ ≤ 120;HA: μ > 120
b. Calculate the value of the test statistic and the p-value.(Negative value should be indicated by a minus sign. Roundintermediate calculations to at least 4 decimal places and finalanswer to 2 decimal places.)
Find the p-value. p-value < 0.01 0.01 p-value < 0.0250.025 p-value < 0.05 0.05 p-value < 0.10 p-value 0.10
c. Use α = 0.05 to determine if the average breaking distancediffers from 120 feet.
