Assignment 2 - Statistical
Inference
Data
The data are from the
marketing survey that you completed on the first day of
class. They are entered into an Excel spreadsheet that
will be sent to you as an e-mail attachment.
Alternatively, you can bring a 3.5" disk to class to
get the data. The data are coded as follows:
! Age = number of years
! Sex = 1 if female, 0 if male
! US = 1 if born in U.S., 0 if not
! Years = Number of years of work experience
! Income
= 1 if $0 -
$20,000
= 2 if $20,000 -
$40,000
= 3 if $40,000 -
$60,000
= 4 if $60,000 -
$80,000
= 5 if $80,000 -
$100,000
= 6 if $100,000+
! Rent/own = 1 if own, 0 if rent
! Monthly = monthly rent or
mortgage payment, in dollars
! Clothes = amount spent on
clothes in a year, in dollars
! Groceries = amount spent on
groceries in a month, in dollars
! Out = number of times eating
out in a month
! Movies = number of times going
to the movies in a year
! Laptop = 1 if own a laptop computer, 0 if
not
If you wish, you may use
another data set that may be of more interest to you.
Analysis
Use your data and a
spreadsheet program to do the following:
- Construct a 99%
confidence interval for the mean of any one
variable.
- Construct a 99%
confidence interval for any one proportion.
- Test at the 5%
significance level an hypothesis involving the
mean of any one variable.
- Test at the 5%
significance level an hypothesis involving any
one proportion.
- Test at the 10%
significance level an hypothesis involving the
means of two populations.
- Test at the 10%
significance level an hypothesis involving two
population proportions.
- Create a contingency
or cross-classification table involving income
and any one of the other variables. Using a level of significance of
your choosing and the chi-square test, is there
evidence that the other variable differs
depending on the level of income?
- Note: For parts 3 - 6
above, at least one of the tests should be
one-tailed, and at least one should be
two-tailed.
Final Output
Please submit the
following by Wednesday, October 1:
- A transmittal memo
summarizing your results
- A printout of the
computer results
If the output is a hard
copy, it should be typed on 8 ½ x 11 or A4 paper. The
output may also be submitted as an e-mail attachment.
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