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## The daily temperatures in fall and winter months in Virginia have a mean of 62°F. A meteorologist in southwest Virginia believes the m

Question

The daily temperatures in fall and winter months in Virginia have a mean of 62°F. A meteorologist in southwest

Virginia believes the mean temperature is colder in this area. The meteorologist takes a random sample of 15 daily

temperatures from the fall and winter months over the last five years in southwest Virginia. The mean temperature

for the sample is 58°F with a standard deviation of 4.12°F. A significance test at an alpha level of a = 0.05 produces

a P-value of 0.001. What is the correct interpretation of the P-value?

There is a 0.1% chance that a sample mean temperature of at most 58°F will occur by chance if the true mean

temperature is 62°F.

Assuming the true mean temperature is 62°F, there is a 0.1% probability that the null hypothesis is true by chance

alone.

There is a 0.1% probability that a sample mean temperature of 58°F will occur by chance alone if the true mean

temperature is 62°F.

Assuming the true mean temperature is 62°F, there is a 99.9% probability that a sample mean of 58°F will occur

by chance alone.

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Mathematics
2 months
2021-07-29T08:39:05+00:00
2021-07-29T08:39:05+00:00 2 Answers
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## Answers ( )

Answer:There is a 0.1% chance that a sample mean temperature of at most 58 F will occur by chance if the true mean temperature is 62 F.

Step-by-step explanation:Took the test 🙂

Answer:,, assuming the true mean temperature 62 degrees Fahrenheit there is a 0.1% probability that the null hypothesis is true by chance alone