Carolina, Inc A Compute the Overall Mean

question 141

Essay

Carolina, Inc. has three stores located in three different areas. Random samples of the sales of the three stores in
$1,000) are shown below. Please note that the sample sizes are not equal.
$\begin{array}{lll}\text { store } 1&\text { store } 52&\text { store } 3\\88 & 76 & 85 \\84 & 78 & 67 \\88 & 60 & 58 \\82 & 62 & \\93 & &\end{array}$
a. Compute the overall mean .
b. At 95% confidence, test to see if there is a significant difference in the average sales of the three stores. Use both the critical value and p-value approaches. Show your complete work and the ANOVA table.

---

Definitions:

Parsimonious

Referring to the principle in science and philosophy where the simplest explanation or strategy tends to be the right one.

Replicable

The ability of a study or experiment to be repeated and yield the same results.

Falsifiable

A criterion of the scientific method stating that for a proposition to be considered scientifically valid, it must be possible to conceive an observation that could prove the proposition false.

Psychoanalytic

Pertaining to a therapeutic and theoretical approach originated by Sigmund Freud that emphasizes unconscious motivations and conflicts in understanding human behavior.