Asked by Somtochi Ibezim on Apr 23, 2024
Verified
At what age do babies learn to crawl? Does it take longer to learn in the winter when babies are often bundled in clothes that restrict their movement? Data were collected from parents who brought their babies into the University of Denver Infant Study Center to participate in one of a number of experiments between 1988 and 1991.Parents reported the birth month and the age at which their child was first able to creep or crawl a distance of 4 feet within 1 minute.The resulting data were grouped by month of birth: January,May,and September: Crawling age is given in weeks.Assume the data represent three independent simple random samples,one from each of the three populations consisting of babies born in that particular month,and that the populations of crawling ages have Normal distributions. A partial ANOVA table is given below. The null hypothesis for the ANOVA F test is that the population mean crawling ages are equal for all three birth months.What is the alternative hypothesis?
A) The population mean crawling age is larger for January than the other 2 months.
B) The population mean crawling age is larger for May than the other 2 months.
C) The three population mean crawling ages are all different from each other.
D) Not all three population mean crawling ages are equal to each other.
Alternative Hypothesis
In statistical hypothesis testing, it is the hypothesis that suggests there is a difference or effect, in contrast to the null hypothesis which suggests no effect or difference.
Population Mean
The average characteristic or measure of a total population, representing a central or typical value of the population data.
- Execute hypothesis testing strategies to evaluate mean variances across different groups using ANOVA.
Verified Answer
ZK
Zybrea KnightMay 02, 2024
Final Answer :
D
Explanation :
The null hypothesis states that all three population mean crawling ages are equal, so the alternative hypothesis will state that at least one of the population mean crawling ages is different from the others. Therefore, the best choice is D - "Not all three population mean crawling ages are equal to each other."
Learning Objectives
- Execute hypothesis testing strategies to evaluate mean variances across different groups using ANOVA.
Related questions
At What Age Do Babies Learn to Crawl? Does It ...
A Study Was Made to Determine Which Taxi Company Gave ...
A Researcher Was Interested in Comparing the Salaries of Female ...
The Following ANOVA Table Shows the Results of an Experiment ...
The Following Data Shows Annual Income,in Thousands of Dollars,categorized According ...