Homework # 20 - MATH 2227
The problems on this homework must be done alone. The honor code is in effect.
First name: Last name:
1. Say you're testing the mean \(\mu\), and the null hypothesis is \(\mu = 20.0\), and the alternate hypothesis is \(\mu \neq 20.0\). If \(\sigma\) is known to equal \(1.5\), and you take a sample of size 100 and compute \(\overline{x} = 19.6\), compute the P-value.
a. .00379
b. .00758
c. .03246
d. .21186
d. .42372
2. In the above test, if \(\alpha = 1%\), what should we do?
a. Accept the null hypothesis.
b. Fail to reject the null hypothesis.
c. Reject the null hypothesis.