7) The interval (7, 11) is a 80% confidence interval. Calculate the standard dev
ID: 3313171 • Letter: 7
Question
7) The interval (7, 11) is a 80% confidence interval. Calculate the standard deviation.(hint: calculate the error, look at the table middle for 80% probability and the solve error-Zs) a) 0.1 b) 1.56 c) 1.2 d) 1 e) None For the last 25 days I recorded the number of times people knock at my door. The Maximum was 19 and the minimum 11 and the average was 15 times per day, build a 95% confidence interval. 8) a) (11,23) b) (15.16,17.51) c) (15.1,17.6) d) (14.2,15.8) e) None For a normally distributed random variable with average 1000 and standard deviation 100 a 68% confidence interval will look like this a) (1000,1100) b) (900,2100) c) 68% d) (900, 1100) e) None 9)Explanation / Answer
Ans:
7)Margin of error=(11-7)/2=4/2=2
z value for 80% CI is 1.28
2=1.28*standard deviation
standard deviation=2/1.28=1.56
Option b is correct.
8)
Range=19-11=8
standard deviation=8/4=2
z value for 95% CI is 1.96
95% CI =15+/-1.96*2/sqrt(25)
=15+/-0.8
=(14.2,15.8)
Option d is correct.
9)z value for 68% CI is 1
68% CI=1000+/-1*100
(900,1100)
Option d is correct.
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