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 one-sided 99% t-interval for
the average solution density
μ
. Is it plausible that the average solution density is less
than 0.765?
2 Textbook 8-88 page 279
II
Proportion Parameter Estimation
1 A stamping machine produces can tops. Randomly selected can top produced by this
machine is non-conforming with probability 0.003.
i. What is the exact theoretical distribution for the number of non-confirming items
in a batch of
n
items. What assumptions about the production process should
be made so that this distributional assumption is valid.
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- Fall '07
- SHIM
- Statistics, Standard Deviation, average solution density
-
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