SOLUTION: A random sample of 50 calls initiated on cellular car phones had a mean duration of 3.5 minutes with standard deviation 1.2 minutes. Find 99% confidence interval for the mean dura

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Question 610782: A random sample of 50 calls initiated on cellular car phones had a mean duration of 3.5 minutes with standard deviation 1.2 minutes. Find 99% confidence interval for the mean duration of telephone calls initiated on a cellular car phone.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
50 calls initiated on cellular car phones with mean duration of 3.5 minutes & SD = 1.2 minutes
Find 99% confidence interval for the mean duration of telephone calls initiated on a cellular car phone.
ME = +2.576%2A1.2%2Fsqrt%2850%29 = .437
CI: 3.5-.437> u < 3.5+.437
CI: 3.063 > u < 3.947
Note: -------------------------------------------------------------
a a/2 crtical regions
80% 0.2 10% z <-1.28155 z >+1.28155
90% 0.1 5% z <-1.645 z >+1.645
92% 0.8 4% z <-1.751 z >+1.751
95% 0.05 2.50% z <-1.96 z >+1.96
98% 0.02 1% z <-2.33 z >+2.33
99% 0.01 0.50% z<-2.576 z >+2.576