It is advertised that the average braking distance for a small car traveling at 70 miles per hour equals 120 feet. A transportation researcher wants to determine if the statement made in the advertisement is false. She randomly test drives 35 small cars at 70 miles per hour and records the braking distance. The sample average braking distance is computed as 113 feet. Assume that the population standard deviation is 22 feet. (You may find it useful to reference the appropriate table: z table or table) a. State the null and the alternative hypotheses for the test. OHO: * = 120; HA: * 120 OHO: M2 120; HA: x < 120 OHO: HS 120; NAM > 120 b. Calculate the value of the test statistic and the p-value. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic
Find the p-value. Op-value 20.10 O p-value < 0.01 O 0.01 p-value < 0.025 O 0.025 s p-value < 0.05 O 0.05 s p-value < 0.10 c. Use a = 0.10 to determine if the average breaking distance differs from 120 feet. The average breaking distance is from 120 feet
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