Answer:
The answer is below
Step-by-step explanation:
The mean (μ) = 3.7 m, standard deviation (σ) = 1.17 m, confidence (C) = 95% = 0.95, sample size (n) = 50
a) α = 1 - C = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
The z score of α/2 is the same as the z score of 0.475 (0.5 - 0.025) which is 1.96. Hence:
The margin of error (E) =
The confidence interval = μ ± E = 3.7 ± 0.32 = (3.38, 4.02)
b) This means that we are 95% sure that any distance between the taxi and the lead car is between 3.38 m and 4.02 m