a random sample of 100 customers is selected, and the mean difference in their satisfaction rating for…

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?\n\nno, the confidence interval does not consist entirely of positive numbers.\nno, the confidence interval does not consist entirely of negative numbers.\nyes, the confidence interval includes negative numbers as well as positive numbers.\nyes, the confidence interval includes more negative numbers than positive numbers.

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?\n\nno, the confidence interval does not consist entirely of positive numbers.\nno, the confidence interval does not consist entirely of negative numbers.\nyes, the confidence interval includes negative numbers as well as positive numbers.\nyes, the confidence interval includes more negative numbers than positive numbers.

Answer

Explanation:

Step1: Understand confidence - interval meaning

A confidence interval for the mean difference (company A - company B) gives a range of likely values for the true mean difference. If the interval contains 0, we cannot be confident that there is a real difference between the two - company satisfaction ratings.

Step2: Analyze the given interval

The 90% confidence interval for the true mean difference (company A - company B) is - 2.5 to 1.5. Since this interval contains 0, we cannot be sure that the mean difference is non - zero. If the difference is positive, company A has higher satisfaction; if negative, company B has higher satisfaction.

Step3: Evaluate the claim

The owner of company B claims that customers are more satisfied with his company than with company A. For this claim to be supported by the confidence interval, the entire interval should be negative. Since the interval contains both negative and positive numbers, we cannot support the claim.

Answer:

No, the confidence interval does not consist entirely of negative numbers.