Random Samples of Several Days' Sales of Handguns Per Day

question 124

Essay

Random samples of several days' sales of handguns per day in three different states are shown below. We are interested in determining whether or not there is a significant difference in the average sales of guns in the three states
$$\begin{array} { c c c } \text { T ennessee } & \text { Kentucky } & \text { Texas } \\12 & 15 & 16 \\13 & 19 & 18 \\17 & 20 & \\10 & & \\18 & &\end{array}$$
a. Compute the overall mean .
b. State the null and alternative hypotheses to be tested.
c. Show the complete ANOVA table for this test including the test statistic.
d. The null hypothesis is to be tested at 95% confidence. Determine the critical value for this test. What do you conclude?
e. Determine the p-value and use it for the test.

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Definitions:

Fluid-Filled Sac

A pouch within the body encased by a thin membrane containing liquid; it can occur in various tissues and organs.

Tendons

Fibrous connective tissues that attach muscles to bones, transmitting the force from muscle contraction to move the bone or structure.

Articular Cartilage

A smooth, white tissue that covers the ends of bones where they come together to form joints, helping reduce friction and absorb shock.

Epiphyses

The rounded end of a long bone, which is separated from the main bone by a growth plate during development and later fuses to allow growth in length.