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in Testing the Hypotheses H0:μ1μ2=0H _ { 0 } : \mu _ { 1 } - \mu _ { 2 } = 0

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In testing the hypotheses H0:μ1μ2=0H _ { 0 } : \mu _ { 1 } - \mu _ { 2 } = 0 vs. H1:μ1μ20H _ { 1 } : \mu _ { 1 } - \mu _ { 2 } \neq 0 , two random samples from two populations of college of business graduates majoring in global marketing and international business produced the following statistics regarding their starting salaries (in $1000s): n1=50n _ { 1 } = 50 , xˉ1=35\bar { x } _ { 1 } = 35 , s1=28s _ { 1 } = 28 , n2=50n _ { 2 } = 50 , xˉ2=30\bar { x } _ { 2 } = 30 , and s2=10s _ { 2 } = 10 . (Assume the salaries have normal distributions.)
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-The service manager of a car dealer wants to determine if owners of new cars (two years old or less) tune up their cars more frequently than owners of older cars (more than two years old). From his records he takes a random sample of ten new cars and ten older cars and determines the number of times the cars were tuned up in the last 12 months. The data follow. Do these data allow the service station owner to infer at the 10% significance level that new car owners tune up their cars more frequently than older car owners?
 Frequency of Tunsups in past 12 Month  New Car Owmers  Old Cars Owners 64323132433262535241\begin{array}{l}\text { Frequency of Tunsups in past 12 Month }\\\begin{array} { |c | c| } \hline \text { New Car Owmers } & \text { Old Cars Owners } \\\hline 6 & 4 \\3 & 2 \\3 & 1 \\3 & 2 \\4 & 3 \\3 & 2 \\6 & 2 \\5 & 3 \\5 & 2 \\4 & 1 \\\hline\end{array}\end{array}


Definitions:

Realistic

Pertaining to the acceptance and representation of things as they are, often in contrast to how they might be idealized or imagined.

Strategic Goals

Long-term objectives that guide an organization's efforts towards achieving its vision and mission.

Top Management

The highest tier of executives and administrators in an organization, responsible for setting strategies, policies, and making crucial decisions.

Quality Management

The act of overseeing all activities and tasks needed to maintain a desired level of excellence in products or services.

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