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Mathematics, 22.05.2020 04:08 Bearboy5957
Milk has a pH of 6.7, which is slightly acidic. Cheesemakers add culture to milk to lower the pH, making it more acidic and turning it into cheese. A manufacturer is experimenting with a new culture that claims to produce a pH of 5.2, which is perfect for cheddar cheese. A set of 50 test batches resulted in an average pH of 5.11. A one-sample t-test was conducted to investigate whether there is evidence that the mean pH is different from 5.2. The test resulted in a p-value of 0.018. Which of the following is a correct interpretation of the p-value?
a. The probability that the true pH is equal to 5.2 is 0.018.
b. The probability that the true pH is different from 5.2 is 0.018.
c. The probability of observing a sample mean of 5.11 or less is 0.018 if the true mean is 5.2.
d. The probability of observing a sample mean of 5.11 or more is 0.018 if the true mean is 5.2.
e. The probability of observing a sample mean of 5.11 or less, or of 5.29 or more, is 0.018 if the true mean is 5.2.
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Milk has a pH of 6.7, which is slightly acidic. Cheesemakers add culture to milk to lower the pH, ma...
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