Question 8 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
A random sample of 100 customers is selected, and the mean difference in their satisfaction rating for company A and company B is calculated. A rating of 1 indicates that a customer is highly dissatisfied, and a rating of 5 indicates that a customer is highly satisfied. A 90% confidence interval for the true mean difference (company A – company B) in satisfaction ratings is –2.5 to 1.5. Based on the confidence interval, the owner of company B claims that customers are more satisfied with his company than with company A. Is this claim supported by the 90% confidence interval?
Answer
A
No, the confidence interval does not consist entirely of positive numbers.
B
No, the confidence interval does not consist entirely of negative numbers.
C
Yes, the confidence interval includes negative numbers as well as positive numbers.
D
Yes, the confidence interval includes more negative numbers than positive numbers.