Randolph College
Department of Mathematics and Computer Science

 

Homework # 16 - MATH 2227


The problems on this homework must be done alone.  The honor code is in effect.

 First name:   Last name:


 

 

In questions 1 through 3 you're testing to see if a coin is fair. You flip it 10,000 times and it comes up heads 5144 times.

 

1.  Is this a left-tailed, a right-tailed, or a two-tailed test?

a.  Left-tailed

b.  Right-tailed

c.  Two-tailed

 

2.  Compute the p-value of your result.

a.  0.2%

b.  0.4%

c.  0.8%

d.  2.0%

d.  4.0%

 

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.

 

In questions 4 through 6, 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

 

4.  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.  \(\mu > 20.0\)

 

5.  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

 

6.  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.