Q:

) A random sample of 110 lighting flashes in a certain region resulted in a sample average radar echo duration of 0.81 sec and a sample standard deviation of 0.34 sec. Calculate 99% (two-sided) confidence interval for the true average echo duration µ.

Accepted Solution

A:
Answer:99% (two-sided) confidence interval for the true average echo duration µ is(0.73<µ<0.89) Step-by-step explanation:Confidence Interval can be calculated using M±ME where M is average radar echo duration (0.81 sec)ME is the margin of error from the mean And margin of error (ME) around the mean can be calculated using the formulaME=[tex]\frac{z*s}{\sqrt{N} }[/tex] where z is the corresponding statistic in 99% confidence level(2.58)s is the standard deviation of the sample(0.34)N is the sample size(110)Then ME=[tex]\frac{2.58*0.34}{\sqrt{110} }[/tex] ≈0,08499% Confidence interval would be 0.81±0,08 or (0.73, 0.89)