Asked by Bryan Torres on Jun 08, 2024
Verified
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.
Cutting Time
The period during which a machine tool is actively shaping, removing, or altering material in a manufacturing process.
Normal Distribution
A probability distribution that is symmetrically centered around the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
- Master and execute hypothesis testing in the context of population means.
- Perform calculations on, and offer interpretations of, test statistics and p-values.
- Differentiate between one-tailed tests and two-tailed tests.
Verified Answer
CT
Learning Objectives
- Master and execute hypothesis testing in the context of population means.
- Perform calculations on, and offer interpretations of, test statistics and p-values.
- Differentiate between one-tailed tests and two-tailed tests.