Hypothesis Testing – Setup:
Suppose you want to test the claim that the mean volume in all 12-ounce cans of Fizzy Pop soda is less than 12 ounces. In a sample of 120 cans, you find the sample mean is11.7 ounces.
(a) What is the claim?
left-tailed
right-tailed
two-tailed
Solution or Explanation
Guidelines for ‘Choosing the Null and Alternate Hypotheses’ are found below the answers.
(a) We are claiming the population mean is less than 12. claim: μ< 12
(b) We are making a claim about a population mean and μrepresents this unknown population mean. Inthis case, the mean volume of all 12-ounce cans of Fizzy Pop.
(c) The null hypothesis always imposes equality. H0: μ= 12
(d) The alternate hypothesis supports the claim provided this is different from the null hypothesis.
If itcan’t, you get a ≠in the alternate hypothesis. H1: μ< 12
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