In an Experiment to See Whether the Amount of Coverage

question 62

Essay

In an experiment to see whether the amount of coverage of light-blue interior paint depends either on the brand of paint or on the brand of roller used, 1 gallon of each of four brands of paint was applied using each of three brands of roller, resulting in the following data (number of square feet covered). $$\begin{array} { l l | c c c } \hline & & { \text { Roller Brand } } \\\hline & & \mathbf { 1 } & \mathbf { 2 } & \mathbf { 3 } \\\text { Paint Brand } & \mathbf { 2 } & 404 & 396 & 401 \\& \mathbf { 2 } & 396 & 394 & 397 \\& \mathbf { 3 } & 389 & 392 & 394 \\& \mathbf { 4 } & 394 & 387 & 393 \\\hline\end{array}$$
a. Construct the ANOVA table.
b. State and test hypotheses appropriate for deciding whether paint has any effect on coverage. Use $\alpha - .05$
c. Repeat part (b) for brand of roller.
d. Use Tukey's method to identify significant differences among brands. Is there one brand that seems clearly preferable to the others?

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Definitions:

Disbursements

Payments made by a business, including expenses, cash distributions to shareholders, or investments.

Financing

The act of supplying capital for company operations, acquisitions, or investment activities.

Collections from Customers

The process or total amount of money received from customers in payment for sales of goods or services.

Cash Collected

The total amount of cash received by a company during a specific period.