2028: Basic Statistical Methods
Homework 4
This homework is due Thursday, October 6th in class
BEFORE class starts
. Late papers will
not be accepted. Please do not turn in any papers to any mailbox.
•
Please remember to staple if you turn in more than one page.
•
You must
SHOW ALL WORK.
If you do not show your work, you may not receive full
credit.
I
Mean Confidence Interval Estimation
1 A sample of 61 bottles of chemical solution is obtained and the solution densities
are measured. The sample mean is ¯
x
= 0
.
768 and the sample standard deviation is
s
= 0
.
0231. Find the value
c
for which
μ
∈
(
c,
∞
) is a onesided 99% tinterval for
the average solution density
μ
. Is it plausible that the average solution density is less
than 0.765?
2 Textbook 888 page 279
II
Proportion Parameter Estimation
1 A stamping machine produces can tops. Randomly selected can top produced by this
machine is nonconforming with probability 0.003.
i. What is the exact theoretical distribution for the number of nonconfirming items
in a batch of
n
items. What assumptions about the production process should
be made so that this distributional assumption is valid.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '07
 SHIM
 Statistics, Standard Deviation, average solution density

Click to edit the document details