Determine Whether the Samples Are Independent or Dependent Use a 001 Significance Level to Test the Claim That the Mean

question 36

Essay

Determine whether the samples are independent or dependent.
-A paint manufacturer wishes to compare the drying times of two different types of paint. Independent 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. $$\begin{array} { | c | l | } \hline \text { Type } \mathrm { A } & { \text { Type } \mathrm { B } } \\\hline \overline { \mathrm { x } } _ { 1 } = 76.8 \mathrm { hrs } & \overline { \mathrm { x } } _ { 2 } = 66.1 \text { hrs } \\\mathrm { s } _ { 1 } = 4.5 \mathrm { hrs } & \mathrm { s } _ { 2 } = 5.1 \mathrm { hrs } \\\mathrm { n } _ { 1 } = 11 & \mathrm { n } _ { 2 } = 9 \\\hline\end{array}$$ Use a 0.01 significance level to test the claim that the mean drying time for paint type A is equal to the mean
drying time for paint type B. Use the P-value method of hypothesis testing.

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Definitions:

Technical Qualifications

The specific skills, knowledge, and abilities required to perform a particular job or task effectively.

Division Of Labor

The assignment of different parts of a manufacturing process or task to different individuals in order to improve efficiency.

Specialization

The process of focusing on a narrow area of expertise or activity, often to increase efficiency or skill.

Bureaucracy

An organizational system characterized by structured hierarchy, formal rules and procedures, and a clear division of labor, often resulting in slow decision-making processes.