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Test of hypothesis-difference between means

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A South American custom candy producer wants to know if the mean daily consumption of regular sugar sweetened candy eaters is less than that of artificial sweetened candy eaters. Assume the standard deviation for those regular sugar sweetened candy eaters is 1.20 candy products per day and 1.36 for those individuals eating the candy sweetened with artificial sweeteners. A random sample of 50 regular sugar candy eaters showed a mean of 4.35 items of candy per day. A sample of 40 artificially sweetened candy eaters showed a mean of 5.84 items of candy per day. Use the 0.01 significance level.

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The solution provides answer to test of hypothesis for difference between means.

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A South American custom candy producer wants to know if the mean daily consumption of regular sugar sweetened candy eaters is less than that of artificial sweetened candy eaters. Assume the standard deviation for those regular sugar sweetened candy eaters is 1.20 candy products per day and 1.36 for those individuals eating the candy sweetened with artificial sweeteners. A random sample of 50 regular sugar candy eaters showed a mean of 4.35 items of candy per day. A sample of 40 artificially sweetened candy eaters showed a mean of 5.84 items of candy per day. Use the 0.01 significance level.

Step1 State null and alternate hypotheses

Null Hypothesis: Ho: Mean1= Mean ...

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