AnswersProbability and Statistics with Applications Honors Sem-2-FL-1210300 2024-2025Unit Test — Unit testQuestion 25
25
QuizMultiple Choice
Unit Test — Unit test
Question 25 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
The distribution of the heights of five-year-old children has a mean of 42.5 inches. A pediatrician believes the five-year-old children in a city are different. The pediatrician selects a random sample of 40 five-year-old children and measures their heights. The mean height of the sample is 41.7 inches with a standard deviation of 3.3 inches. A significance test at an alpha level of produces a P-value of 0.133. What is the correct interpretation of the P-value?
Answer
A
There is a 13.3% chance that a sample mean at least as extreme as 41.7 inches will occur by chance if the true mean height of five-year-old children is 42.5 inches.B
Assuming the true mean height of five-year-old children is 42.5 inches, there is a 13.3% probability that the null hypothesis is true by chance alone.C
There is a 13.3% probability that a sample mean of 41.7 inches will occur by chance alone if the true mean height of five-year-old children is 42.5 inches.D
Assuming the true mean height of five-year-old children is 42.5 inches, there is an 86.7% probability that a sample mean height of 42.5 inches will occur by chance alone.