Question
Home Harvest, a local homeless support charity in the northeastern U.S. traditionally mails donation requests to previous donors in the last five years around Thanksgiving.
Home Harvest, a local homeless support charity in the northeastern U.S. traditionally
mails donation requests to previous donors in the last five years around Thanksgiving.
A board member suggests e-mail might be more efficient and cheaper but there is
concern an email would be seen as less personal and accrue lower donations.
Home Harvest takes a random sample of sixteen regular personal donors (viz., have
donated each of the last three years). Six receive an e-mail and eleven a letter for the
next Thanksgiving. Donations in dollars are as follows:
E-mail: 40, 0, 60, 40, 70, 0
Letter: 110, 550, 120, 650, 0, 100, 120, 20, 110, 110, 100
- Provide the null and alternative hypotheses in formal and plain language for appropriate two-tailed test (viz., dependent or independent) at the 0.05 significance level
- Do the math and reject/accept null at a=.05. State your critical t value.
- Explain the results in plain language.
- Calculate the 95% confidence interval for the difference in means and state both formally and in plain language if appropriate.
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