The program office budgets 30000 per program review at the c

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 $32,000 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. (Carry intermediate calculations to three decimal places.)

The tp is 1.341
The tp is 0.866

The tc is 11.429
The tc is 2.286

We would reject the null hypothesis
We would fail to reject the null hypothesis

We would conclude that it is reasonable to use the $30,000 budget figure
We would recommend revising the budget figure

Solution

tp = 1.341

tc = (32000 - 30000)/ (3500/16)

= 2.286

We would reject the null hypothesis

We would conclude that it is reasonable to use the $30000 budget figure.