This preview shows pages 1–2. Sign up to view the full content.
1.
Using16 measurements (in millimeters) of a critical dimension on a random sample of auto engine
crankshafts from a Normally distributed population, we obtained the following 95% confidence
interval estimate for
μ
: (223.97, 224.03)
a.
What are the simple conditions for this confidence interval for
μ
?
SRS, Normal population
b.
What is the population about which we want to make an inference?
All auto engine crankshafts
c.
What is the parameter we estimated with this confidence interval?
The mean critical dimension of all auto engine crankshafts
d.
Using the information in parts b and c, interpret the confidence interval for
μ
in context.
We are 95% confident that the mean critical dimension of all auto engine crankshafts is
between
223.97 mm and 224.03 mm.
e.
The following are true/false statements about this interval:
i.
This interval tells us that reasonable values for
μ
are all numbers between 223.97 and 224.03.
True
ii.
We are 95% confident that the value of the sample mean of the 16 measurements will be in
the interval, (223.97, 224.03).
False
iii.
95% of the time, when sampling crankshafts from this process, we will get the confidence
interval, (223.97, 224.03).
False
iv.
95% of all possible crankshaft measurements will be in the interval, (223.97, 224.03).
False
v.
The probability that the value for
μ
is in this 95% confidence interval, (223.97, 224.03), is
0.95.
False
vi.
95% confidence
means that 95% of the time, we will get the value of
μ
in this confidence
interval, (223.97, 224.03).
False
vii.
95% confidence
means that 95% of all possible random samples of 16 crankshafts will yield
95% confidence intervals for
μ
that actually contain the value of
μ
.
True
viii.
95% confidence
means that using this 95% confidence interval procedure for
μ
, we will
obtain confidence intervals that actually contain the value of
μ
for 95% of such intervals.
True
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.
This note was uploaded on 10/16/2011 for the course STAT 05604 taught by Professor Brucejaycollings during the Spring '10 term at BYU.
 Spring '10
 BRUCEJAYCOLLINGS

Click to edit the document details