Preliminary Data Analyses Indicate That You Can Reasonably Use Nonpooled

question 36

Essay

Preliminary data analyses indicate that you can reasonably use nonpooled t-procedures on the given data. Apply anonpooled t-test to perform the required hypothesis test, using either the critical-value approach or the P-value approachas indicated.
-A paint manufacturer wished to compare the drying times of two different types of paint. Independent simple random samples of 11 cans of type A and 9 cans of type B were selected and applied to similar surfaces. The drying times, in hours, were recorded. The summary statistics are as follows. $$\begin{array} { r | r } \ { \text { Type A } } & \text { Type B } \\\hline\bar{{ x} _ { 1 }} = 74.7 & \bar{ { x } _ { 2 } }= 64.4 \\\mathrm {~s} _ { 1 } = 4.5 & \mathrm {~s} _ { 2 } = 5.1 \\\mathrm { n } _ { 1 } = 11 & \mathrm { n } _ { 2 } = 9\end{array}$$ At the 1% significance level, do the data provide sufficient evidence to conclude that the mean drying time for type A differs from the mean drying time for type B? Use the critical-value approach.

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Definitions:

Stock Split

A process initiated by a corporation to split its current stock into several shares in order to increase the shares' liquidity.

Market Price

The current price at which an asset or service can be bought or sold in the financial markets.

Dividend Per Share

The total dividends declared by a company divided by the number of outstanding shares.