Asked by Tholia Pickett on Jul 15, 2024
Verified
A researcher states the following hypotheses: H0: μDogs = μCats and H1: μDogs ≠ μ Cats. Assuming she collects data from 9 dogs and 9 cats, what is the appropriate critical value?
A) 1.734
B) 2.120
C) 2.110
D) 2.101
Critical Value
A threshold in statistics above or below which a statistical result is considered significant.
Dogs
Domesticated mammals known for their loyalty and companionship, classified in the species Canis lupus familiaris.
Hypotheses
Hypotheses are proposed explanations made on the basis of limited evidence as starting points for further investigation.
- Determine the critical value for hypothesis testing in different scenarios.
Verified Answer
NH
Ngornly HangmingJul 17, 2024
Final Answer :
B
Explanation :
Since the alternative hypothesis includes the "not equal to" symbol, this indicates a two-tailed test. With a sample size of 9 for both dogs and cats, the appropriate critical value at a significance level of 0.05 is t = 2.120 (from a t-distribution with 16 degrees of freedom). Therefore, the correct answer is B.
Learning Objectives
- Determine the critical value for hypothesis testing in different scenarios.