AnswersProbability and Statistics with Applications Honors Sem-2-FL-1210300 2024-2025Cumulative Exam — Cumulative examQuestion 45
45
QuizMultiple Choice
Cumulative Exam — Cumulative exam
Question 45 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
The daily temperatures in fall and winter months in Virginia have a mean of 62o F. A meteorologist in southwest Virginia believes the mean temperature is colder in this area. The meteorologist takes a random sample of 30 daily temperatures from the fall and winter months over the last five years in southwest Virginia. The mean temperature for the sample is 59oF with a standard deviation of 6.21oF. The meteorologist conducts a one-sample t-test for and calculates a P-value of 0.007.
Answer
A
The meteorologist should reject the null hypothesis since 0.007 < 0.01. There is convincing evidence that the mean temperature in fall and winter months in southwest Virginia is less than 62o F.B
The meteorologist should reject the null hypothesis since 0.007 < 0.01. There is not convincing evidence that the mean temperature in fall and winter months in southwest Virginia is less than 62o F.C
The meteorologist should fail to reject the null hypothesis since 0.007 < 0.01. There is convincing evidence that the mean temperature in fall and winter months in southwest Virginia is less than 62o F.D
The meteorologist should fail to reject the null hypothesis since 0.007 < 0.01. There is not convincing evidence that the mean temperature in fall and winter months in southwest Virginia is less than 62o F.