Construct a 95% confidence interval for the mean gas mileage for this car model is ( 26.1 , 28.9 )
What is a confidence interval?
An estimation range for an unknowable parameter is referred to as a confidence interval in frequentist statistics. The 95% confidence level is the most popular, however other levels, such 90% or 99%, are occasionally used when computing confidence intervals.
what is the mean?
In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Simply put, the mean is the average of the values in the given set
Given,
X'= 27.5
sigma = 5
n = 49
z = 1.96
95% confidence interval = X' ± z * ( sigma √n )
= 27.5 ± 1.96 * ( 5 √49)
= 27.5 ±1.4
95% confidence interval = ( 26.1 , 28.9 )
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