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a random sample of 110 lightning flahes resulted in radar echoes with a mean of .81 seconds and a standard deviation of .34 seconds. whats the parent distribution and calculate a 90% ci for the mean



Answer :

A 90% confidence interval for the mean is (0.7567, 0.8633)

We know that the formula for confidence interval is;

CI = x' ± z(σ/√n)

Where;

x' is sample mean

z is critical value at confidence interval

σ is standard deviation

n is sample size

From given data we have,

n = 110

Sample mean x' = 0.81

Confidence level CL = 90%

Standard deviation σ = 0.34

z at confidence level of 99% is 1.645

CI = 0.81 ± 1.645(0.34/√110)

CI = 0.81 ± 0.0533

CI = ((0.81 - 0.0533), (0.81 + 0.0533))

CI = (0.7567, 0.8633)

Therefore, the confidence interval is (0.7567, 0.8633)

Learn more about confidence interval here:

brainly.com/question/17097944

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