Acid rain, caused by the reaction of certain air pollutants with rainwater, is a growing problem in the United States. Pure rain falling through clean air registers a pH value of 5.7 (pH is a measure of acidity: 0 is acid; 14 is alkaline). A sample of n = 50 rainfalls produced pH readings with x = 3.6 and s = 0.5. Do the data provide sufficient evidence to indicate that the mean pH for rainfalls is more acidic (Ha: ? < 5.7 pH) than pure rainwater? Test using ? = 0.05. Note that this inference is appropriate only for the area in which the rainwater specimens were collected. a) State the null and alternative hypotheses b) Find the test statistic and rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) c) State your conclusion.
Acid rain, caused by the reaction of certain air pollutants with rainwater, is a growing problem in the United States. Pure rain falling through clean air registers a pH value of 5.7 (pH is a measure of acidity: 0 is acid; 14 is alkaline). A sample of n = 50 rainfalls produced pH readings with x = 3.6 and s = 0.5. Do the data provide sufficient evidence to indicate that the mean pH for rainfalls is more acidic (Ha: ? < 5.7 pH) than pure rainwater? Test using ? = 0.05. Note that this inference is appropriate only for the area in which the rainwater specimens were collected.
a) State the null and alternative hypotheses
b) Find the test statistic and rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)
c) State your conclusion.
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