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Testing the Claim: Is Soft Drink Consumption Really 52 Gallons?
Chapter 8, Problem 16(choose chapter or problem)
Soft Drink Consumption A researcher claims that the yearly consumption of soft drinks per person is 52 gallons. In a sample of 50 randomly selected people, the mean of the yearly consumption was 56.3 gallons. The standard deviation of the population is 3.5 gallons. Find the P-value for the test. On the basis of the P-value, is the researcher's claim valid?
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QUESTION:
Soft Drink Consumption A researcher claims that the yearly consumption of soft drinks per person is 52 gallons. In a sample of 50 randomly selected people, the mean of the yearly consumption was 56.3 gallons. The standard deviation of the population is 3.5 gallons. Find the P-value for the test. On the basis of the P-value, is the researcher's claim valid?
ANSWER:Step 1 of 4
Let n = 50 be the given sample's size, its mean \(\bar{X}=56.3\) gallons and its standard deviation 3.5 gallons. We want to test the following hypothesis:
\(\begin{array}{l}H_{0}: \mu=52 \text{ gallons}\\
H_{1}: \mu \neq 52 \text{ gallons}\end{array}\)
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Testing the Claim: Is Soft Drink Consumption Really 52 Gallons?
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Discover the process of using a one-sample t-test to validate a claim about average soft drink consumption. By calculating the test statistic and analyzing the corresponding P-value, we determine the validity of the researcher's assertion.