Acar manufacturer is trying to develop a new sports car. engineers are hoping that the average amount of time that the car takes to go from 0 to 60 miles per hour is below 6 seconds. the car company tested 12 of the cars and clocked their performance times. three of the cars clocked in at 5.8 seconds, 5 cars at 5.9 seconds, 3 cars at 6.0 seconds, and 1 car at 6.1 seconds. at a 5% level of significance, test if the new sports car is meeting its goal to go from 0 to 60 miles per hour in less than 6 seconds. assume a normal distribution for the analysis. a. specify the competing hypotheses to test this belief.
h0: μ = 6; ha: μ ≠ 6h0: μ ≥ 6; ha: μ < 6h0: μ ≤ 6; ha: μ > 6

b-1.
calculate the value of the test statistic. (negative value should be indicated by a minus sign. round your answer to 2 decimal places.)

b-2. select the p-value.
0.005 < p-value < 0.01
p-value < 0.01
0.01 ≤ p-value < 0.025
0.025 ≤ p-value < 0.05
0.05 ≤ p-value < 0.10
p-value ≥ 0.10

c. use α = 0.05 to test if the new sports car is meeting its goal.(click to select)reject h0do not reject h0 . at the 5% level of significance, we (click to select)cancannot conclude that the average clock time of all cars is less than 6 seconds.