SOLUTION: Can someone please help me, I submitted a question and ot no answer. A machine puts plastic into sheets that are 30 feet(360 inches)long. Assume that the population of lengths i

Question 482955: Can someone please help me, I submitted a question and ot no answer.
A machine puts plastic into sheets that are 30 feet(360 inches)long. Assume that the population of lengths is normally distrubuted. Complete parts (a) and (b)
a) The company wants to estimate the mean length the machine is cutting the plastic within 0.25 inc. Determine the minimum sample sia required to construct a 95% confidence interval for the population mean. Assume the population standard deviation is 0.50 inch.
n=
b) Repeat part (a) using an error tolerance of 0.125 inc.
n=
Which error tolerane requires a larger sample size? Explain.
A The tolerance E= 0.125 inch requires a larger sample size. As error size increases, a larger sample must be taken to ensure the desired acuracy.
B. The tolerance E=0.25 inch requires a larger sample size. As erro size increases a larger sample must be taken to ensure the desired accuracy.
C. The tolerance E=0.25 inch requires a larger sample size. As error size
decreases, a larger sample must be taken to ensure the desired accuracy.
D. The tolerance E = 0.125 inch requires a larger sample size. As error size decreases, a larger sample must be taken to ensure the desired accuracy.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A machine puts plastic into sheets that are 30 feet(360 inches)long. Assume that the population of lengths is normally distrubuted.
Complete parts (a) and (b)
----------------------
a) The company wants to estimate the mean length the machine is cutting the plastic within 0.25 inc. Determine the minimum sample size required to construct a 95% confidence interval for the population mean. Assume the population standard deviation is 0.50 inch.
--------------
n= [z*s/E]^2
n = [1.96*0.50/0.25]^2
n = 16 when rounded up
=================================
b) Repeat part (a) using an error tolerance of 0.125 inc.
n= {1.96*0.50/0.125]^2
n = 62 when rounded up
=============================
Which error tolerance requires a larger sample size? Explain.
A The tolerance E= 0.125 inch requires a larger sample size. As error size increases, a larger sample must be taken to ensure the desired acuracy.
B. The tolerance E=0.25 inch requires a larger sample size. As erro size increases a larger sample must be taken to ensure the desired accuracy.
C. The tolerance E=0.25 inch requires a larger sample size. As error size
decreases, a larger sample must be taken to ensure the desired accuracy.
D. The tolerance E = 0.125 inch requires a larger sample size. As error size decreases, a larger sample must be taken to ensure the desired accuracy.
0 solutions
=============
Answer: D ; Error size and sample size are indirectly related.
As the amount of allowed error decreases the sample size must rise.
==================================
Cheers,
Stan H.
================

RELATED QUESTIONS
Hi I submitted these problems but no one has help me, can someone please help me I... (answered by josmiceli)

ples please someone....I NEED HELP WITH THIS QUESTION I HAVE SUBMITTED IT SEVERAL TIMES... (answered by Theo)

can u please find it in yolur heart ot help me with a problem that I am having trouble... (answered by Lacey020991)

Decide on ANY ONE quadratic function of your choice whose graph will be a parabola. 1.... (answered by drk)

Please help me understand this can you please show me how you get your answers so i can... (answered by stanbon)

i have absolutely no idea what this means. can someone please help me with this... (answered by ankor@dixie-net.com)

please help me i am ot soo good with word problems. if u can please help me i would... (answered by mananth)

Please help me answer this question. Half of a set of parts are manufactured by... (answered by stanbon)

Please help again. Submitted question earlier and no response. 3) Suppose you throw a (answered by venugopalramana)