SOLUTION: To estimate with 95% confidence the average number of kilometres that students living off-campus commute to classes every day, a random sample of 20 students was taken and produced

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Question 1207861: To estimate with 95% confidence the average number of kilometres that students living off-campus commute to classes every day, a random sample of 20 students was taken and produced a mean equal to 5.2 km and a standard deviation of 3.05 km. Under these circumstances, what is the appropriate critical value?
a) 2.093
b) 1.960
c) 2.086
d) 1.729

Found 2 solutions by Boreal, math_tutor2020:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
For 95% confidence look at at a t-table (because it is a sample) and frankly the easiest way is to look for the column where it is just more than 1.96 at df=19. That is 2.093

Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

Answer: Choice A

For an explanation, refer to this previous solution
https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1207888.html
Please let me know if you have any questions.