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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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