The Paralyzed Veterans of America (PVA) is a Congressionally chartered veterans’ service organization that represents the interests of paralyzed veterans. The agency provides a range of services to veterans who have spinal cord injury or dysfunction. It derives most of its funding from contributions. The data set PVA contains a sample of the donors who recently gave money to the organization. We would like to use the sample to understand the donors in the entire database. The following variables are included:

a) Describe the distribution of the donors’ ages, including any unusual features. Give a 95% confidence interval for the mean age of all donors in the database.
b) The average age at which people buy homes in the United States is about 34. So, in general, homeowners are older than non-homeowners. Test whether homeowners, on average, are older than non-homeowners in this data set. Explain the discrepancy.
c) Are men more likely than women to own homes? Use the data set to test a hypothesis and comment on the result.
d) Describe the distribution of Current Gift for these donors.

Transcribed Image Text:

Variable Name Age Own Home? Children Income Sex Total Wealth Gifts to Other Orgs Number of Gifts Time Between Gifts Smallest Gift Largest Gift Previous Gift Average Gift Current Gift Sqrt(Smallest Gift) Sqrt(Largest Gift) Sqrt(Previous Gift) Sqrt(Average Gift) Sqrt(Current Gift) Units (if applicable) Years H = Yes; U = No or unknown Counts M = Male; F = Female Counts Counts Months 69 69 69 69 $ $ $ $ Sqrt(S) Sqrt(S) Sqrt(S) Sqrt(S) Sqrt(S) Description 1 = Lowest; 7 = Highest 0 Lowest; 9 = Highest Number of Gifts (if known) to other philanthropic organizations in the same time period Number of Gifts to this organization in this time period Time between first and second gifts Smallest Gift (in $) in the time period Largest Gift (in $) in the time period Gift (in S) (or previous campaign Total amount donated divided by total number of gifts Gift (in S) to organization this campaign Square Root of Smallest Gift in $ Square Root of Largest Gift in $ Square Root of Previous Gift in S Square Root of Average Gift in S Square Root of Current Gift in S Remarks Based on national medians and percentiles Based on national medians and percentiles See also Sqrt(Smallest Gift) See also Sqrt(Largest Gift) See also Sqrt(Previous Gift) See also Sqrt(Average Gift) See also Sqrt(Current Gift)