Statistical Inference Assignment

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Data

The data are from the marketing survey that you completed in class. They are entered into an Excel spreadsheet and can be obtained by clicking on your name below:

The data are coded as follows:

! Age = number of years

! Sex = 1 if female, 0 if male

! 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

! Car = 1 if bought a car in the last year, 0 if not

! Smart = 1 if own a smart TV, 0 if not

! Gym = 1 if a member of a gym, 0 if not

! Yoga = 1 if regularly practice yoga, 0 if not

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Analysis

Use your data and a spreadsheet program to do the following:

1. Calculate the sample mean, the median, the sample variance, and the sample standard deviation for any one variable involving numerical data.

2. Construct a 99% confidence interval for the mean of any one variable.
   
   
3. Construct a 99% confidence interval for any one proportion.
   
   
4. Test at the 5% significance level an hypothesis involving the mean of any one variable.
   
   
5. Test at the 5% significance level an hypothesis involving any one proportion.
   
   
6. Test at the 10% significance level an hypothesis involving the means of two populations.
   
   
7. Test at the 10% significance level an hypothesis involving two population proportions.

• Note: For parts 4 - 7 above, at least one of the tests should be one-tailed, and at least one should be two-tailed.

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Final Output

Please submit the following by Monday, March 27:

• A short summary of your results

- #1 - Indicate what the values are

- #s 2 and 3 - Mention the population parameter estimated and the calculated confidence intervals

- #s 4 - 7 - Give the null and alternative hypotheses, the rejection region, the calculated test statistic, and the conclusion

• 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.