A logger knows the average time for his cutting machine to cut 20 trees is 9.8 minutes. A new machine on the market claims to cut the trees in less than 9.8 minutes. A random sample of 25 test runs on the new machine yielded a mean of 8.5 minutes with a standard deviation of 1.5. Does the sample data suggest the new machine cuts faster than the logger's machine? Test at the = 0.05 level. Assume the cutting time is normally distributed and interpret your results.
Test Statistic = ______________
____________________________
The new machine ______________ cut faster than the logger's machine.

Question

A logger knows the average time for his cutting machine to cut 20 trees is 9.8 minutes. A new machine on the market claims to cut the trees in less than 9.8 minutes. A random sample of 25 test runs on the new machine yielded a mean of 8.5 minutes with a standard deviation of 1.5. Does the sample data suggest the new machine cuts faster than the logger's machine? Test at the  = 0.05 level. Assume the cutting time is normally distributed and interpret your results.
Test Statistic = ______________
____________________________
The new machine ______________ cut faster than the logger's machine.

Quizplus · Accepted Answer

The Answer of A logger knows the average time for his cutting machine to cut 20 trees is 9.8 minutes. A new machine on the market claims to cut the trees in less than 9.8 minutes. A random sample of 25 test runs on the new machine yielded a mean of 8.5 minutes with a standard deviation of 1.5. Does the sample data suggest the new machine cuts faster than the logger's machine? Test at the  = 0.05 level. Assume the cutting time is normally distributed and interpret your results.
Test Statistic = ______________
____________________________
The new machine ______________ cut faster than the logger's machine.

A Logger Knows the Average Time for His Cutting Machine