Homework # 15 - MATH 2227
The problems on this homework must be done alone. The honor code is in effect.
First name: Last name:
Say the weight of fruit produced by a single cherry tree of a certain variety is normally distributed with mean 40 lbs and standard deviation 8 lbs
1. Say you're testing the mean \(\mu\), and the null hypothesis is \(\mu = 20.0\)kg, and there will be a problem if \(\mu\) is significanly higher {\bf or} lower than that. What is the alternate hypothesis?
a. \(\mu \neq 20.0\)
b. \(\mu < 20.0\)
c. \(\mu > 20.0\)
2. 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
3. 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.