SOLUTION: According to the Coffee Research Organization (http://www.coffeeresearch.org) the typical American coffee drinker consumes an average of 3.1 cups per day. A sample of 12 senior cit

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Question 381118: According to the Coffee Research Organization (http://www.coffeeresearch.org) the typical American coffee drinker consumes an average of 3.1 cups per day. A sample of 12 senior citizens revealed they consumed the following amounts of coffee, reported in cups, yesterday. At the .05 significance level does this sample data suggest there is a difference between the national average and the sample mean from senior citizens?

3.1
3.3
3.5
2.6
2.6
4.3
4.4
3.8
3.1
4.1
3.1
3.2

(a.) State the null hypothesis and the alternate hypothesis. (Round your answers to 1 decimal place.)
(b.)State the decision rule for .05 significance level. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.)

(c.)Compute the value of the test statistic. (Round your answer to 3 decimal places.)

Answer by hohostar(1)   (Show Source): You can put this solution on YOUR website!
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  • This is an equation! Solutions: x=2.
  • Graphical form: Equation was fully solved.
  • Text form: x+x-x+2x=6 simplifies to 0=0
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DETAILED EXPLANATION

Look at .
Eliminated similar terms highlight_red%28+x+%29,highlight_red%28+x+%29,highlight_red%28+-x+%29,highlight_red%28+2%2Ax+%29 replacing them with highlight_green%28+%281%2B1-1%2B2%29%2Ax+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-6+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+3%2Ax-6=0+%29 equivalent to 3*x-6 =0
It becomes .
Result:
This is an equation! Solutions: x=2.

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Done!
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(x=1, y=1}
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