AnswersProbability and Statistics with Applications Honors Sem-2-FL-1210300 2024-2025Testing a Claim about a Population MeanQuestion 6
6
QuizMultiple Choice
Testing a Claim about a Population Mean
Question 6 • 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 taller on average. The pediatrician selects a random sample of 30 five-year-old children and measures their heights. The mean height of the sample is 43.6 inches with a standard deviation of 3.6 inches. The pediatrician conducts a one-sample t-test for and calculates a P-value of 0.052.
Answer
A
The pediatrician should reject the null hypothesis since 0.052 > 0.01. There is convincing evidence that the mean height of five-year-old children in this city is greater than 42.5 inches.B
The pediatrician should accept the null hypothesis since 0.052 > 0.01. There is not convincing evidence that the mean height of five-year-old children in this city is greater than 42.5 inches.C
The pediatrician should fail to reject the null hypothesis since 0.052 > 0.01. There is convincing evidence that the mean height of five-year-old children in this city is greater than 42.5 inches.D
The pediatrician should fail to reject the null hypothesis since 0.052 > 0.01. There is not convincing evidence that the mean height of five-year old children in this city is greater than 42.5 inches.