Randolph College
Department of Mathematics and Computer Science

 

Homework # 19 - MATH 2227


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

 First name:   Last name:


 

1.  Every gardener knows that not every seed will germinate and grow into a plant. We plant 500 seeds of a certain variety of tomato and find that 185 of them germinate and grow. Find a 90% confidence interval for the proportion of this variety of tomato seed that we can expect to germinate and grow.

a.  (.334, .406)

b.  (.352, .424)

c.  (.316, .390)

d.  (.342, .434)

d.  (.010, .730)

 

2.  Given the preliminary estimate for p from the first question, how many seeds would you need to test to reduce the standard error to 2% at the 90% confidence level?

a.  1377

b.  1577

c.  1777

d.  1977

d.  2177