A meteorologist who sampled 13
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A meteorologist who sampled13 randomly selected thunderstorms found that the average speed atwhich they traveled across a certain state was 1.7 miles per hour.The standard deviation of the sample was 1.7 mph. Find the 99%confidence interval of the mean. Do not round the t value from thetable. Round the t-interval to one decimal place, example 1.2 <μ < 3.4
T value from the table for the formula:
T-interval: < μ <
Answer:
The provided sample mean is 
= 1.7 and the sample standard deviation is s =1.7. The size of the sample is n = 13 andthe required confidence level is 99%.
The degrees of freedom is df=13−1=12, and thesignificance level is α=0.01.
T value from the table is tc =3.055.
The 99% confidence for the population mean μ is computed usingthe following expression
CI = (1.7−1.44,1.7+1.44) = (0.26,3.14) 
(0.3, 3.1)
T-interval: 0.3 < 
< 3.1
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