Randolph College
Department of Mathematics and Computer Science

 

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.