Interpreting Standard Errors

You would like to estimate the mean height of all GC students, so you consult the m111survey data frame:

favstats(~height,data=m111survey)

## min Q1 median Q3 max mean sd n missing
## 51 65 68 71.75 79 67.99 5.296 71 0

As you can see, the sample mean x-bar is 67.99 inches. But you know that, due to chance error in the sampling process, this is unlikely to be exactly mu, the population mean.

So you also compute the standard error of x-bar:

5.296414/sqrt(71)

## [1] 0.6286

What's a good way to summarize your results to other people?

Group of answer choices

( )The sample mean is somewhere around 67.99 inches, give or take 0.63 inches or so for chance error in the sampling process.

( ) I figure that the mean height of all GC students is somewhere around 67.99 inches, give or take 0.63 inches or so for chance error in the sampling process.

( )The mean height of all GC students has to be within 0.63 inches of my sample mean of 67.99 inches.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

Expert Solution

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions