Question 1084115: The program office budgets $30,000 per program review at the contractor's site. Your concern for "end of year" spending drills is that you have budgeted enough for the reviews (i.e. you are only concerned if the actual costs are higher than the $30,000 target). A sample of 16 trips yielded a mean of $32,500 and a standard deviation of $3,500. Test the budgeted amount at the 80% level of confidence. Select the correct answer out of each pair of choices.
The tp is 1.341
We would REJECT the null hypothesis
We would conclude that it is reasonsable to USE the $30,000 budget figure
We would recommend revising the budget figure
The tp is 0.866
The tc is 11.429
The tc is 2.857
We would fail to reject the null hupothesis
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The program office budgets $30,000 per program review at the contractor's site. Your concern for "end of year" spending drills is that you have budgeted enough for the reviews (i.e. you are only concerned if the actual costs are higher than the $30,000 target). A sample of 16 trips yielded a mean of $32,500 and a standard deviation of $3,500. Test the budgeted amount at the 80% level of confidence. Select the correct answer out of each pair of choices.
The tp is 1.341
We would REJECT the null hypothesis
We would conclude that it is reasonsable to USE the $30,000 budget figure
We would recommend revising the budget figure
The tp is 0.866
The tc is 11.429
The tc is 2.857
We would fail to reject the null hupothesis
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Note:: 80% level of significance implies alpha = 10%
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Ho:: u = 30000
Ha:: u > 30000
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sample mean for 16 samples:: 32500
test stat:: z(32500) = (32500-30000)/(3500/sqrt(16)) = 2.85
P(value) = P(z > 2.85) = normalcdf(2.85,100) = 0.002
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Conclusion:: Since the p-value is less than 10%, reject Ho.
Conclusion:: The test results support Ha ; revise the budget figure.
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Cheers,
Stan H.
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