## Suppose you asked 100 commuters how much they spend each year and obtained a mean of $167 spent on transportation and a standard deviation o Question Suppose you asked 100 commuters how much they spend each year and obtained a mean of$167 spent on transportation and a standard deviation of $40. Using the 2 SE rule of thumb, calculate a 95% confidence interval for the mean and select the values that come closest to those that would fill the spaces in the following interpretation: we can be 95% confident that the mean amount of money spent on transportation lies between _________ and _________.A.$149 and $185 B.$163 and $171 C.$163 and $170 D.$155 and $212 in progress 0 3 weeks 2021-09-10T08:16:44+00:00 1 Answer 0 ## Answers ( ) 1. Answer: B.$163 and $171 Step-by-step explanation: from the question, we were given the following: mean=$167

standard deviation, =$40 sample size, n = 100 significance level, α= i- confidence level= 1- 0.95=0.05 from the z table, we get; critical value, error margin = critical value × = 1.96× = 7.84 thus lower limit = mean – error margin =$167 – $7.84 =159.16 the upper limit = mean + error margin =$167 + $7.84 =$174.84

the closest is B. $163 and$171