Question
I'm struggling to determine how to setup the following problem. I need to understand how to determine the null and alternative hypothesis. The Fillmore Institute
I'm struggling to determine how to setup the following problem. I need to understand how to determine the null and alternative hypothesis.
The Fillmore Institute has established a service designed to help charities increase the amount of money they collect from their direct-mail solicitations. Its consulting is aimed at increasing the mean dollar amount returned from each giver and also at reducing the variation in amount contributed from giver to giver. Over the last eight years, records show that the average contribution per returned envelope is $14.25 with a standard deviation of $6.44. The Badke Foundation directors decided to try the Fillmore services on a test basis. They used the recommended letters and other request materials and sent out 1,000 requests. From these, 166 were returned. The data showing the dollars returned per giver are in the file calledBadke. Based on the sample data, what conclusions should the Badke Foundation reach regarding the Fillmore consulting services? Use appropriate hypothesis tests with a significance level = 0.05 to reach your conclusions.
For n = 166, I used the file supplied with data to calculate the following: x = 15.84 s = 7.16
I don't need the answer to the problem, just how to set it up. I can do the calculations myself once I understand how the problem should be set up
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