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INEN314 Homework #5
(Due 10/10)
Problems 12 are related to your experiments in Lab#5.
You need to use the data collected from the
Lab to finish this homework.
1. [10 pts]
(Part 1 from in Lab #5).
1a)
What do you think would be the most appropriate distribution to assume for
x
and
y
? Why?
1b) Let
µ
x
,
y
,
σ
x
, and
y
denote the population mean and standard deviation of
x
and
y
. Calculate
point estimates of
μ
x
and
μ
y
. Calculate the sample standard deviation of
x
and
y
.
For the
remaining parts of Problems 1 and 2, assume the population standard deviations (which you
do not know) are equal to the sample standard deviations
.
1c)
Find a twosided
95% confidence interval for
x
. Based on the confidence interval, do you think it
is unlikely that
x
is equal to the target value 0?
1d)
Find a lower onesided
99% (not 95%) confidence interval for
y
.
2. [8 pts]
(Part 2 from Lab #5).
2a)
Assuming your data are normally distributed, what is the distribution of
new
x
−
old
x
? You can
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 Spring '10
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