salaries of 39 college graduates who took a statistics course
by Dr. Jeromy Schinner
Published 3 years ago
Updated 2 years ago
8 min read
MathStatisticsQ&A LibrarySalaries of 39 college graduates who took a statistics course in college have a mean, x of $63,300. Assuming a standard deviation
standard deviation
The standard deviation of a random variable, sample, statistical population, data set, or probability distribution is the square root of its variance. It is algebraically simpler, though in practice less robust, than the average absolute deviation.
https://en.wikipedia.org › wiki › Standard_deviation
σ, of $13,741 construct a 99% confidence interval for estimating the population mean μ.
Question
Salaries of 39 39 college graduates who took a statistics course in college have a mean, x x , of $61,700 $ 61, 700 . Assuming a standard deviation, σ σ , of $19,411 $ 19, 411 , Construct a 90% 90 % confidence interval for the population mean μ μ .
Confidence Interval
In this question, a normal distribution is used to construct and calculate the 90% confidence interval for the population mean. A normal distribution is used because of the population standard deviation is known to us. An excel function NORMINV () is used to get the confidence coefficient.