A group of students enroll in a behavioral statistics course taught by one of tw
ID: 3205991 • Letter: A
Question
A group of students enroll in a behavioral statistics course taught by one of two professors. The mean grade in Professor G's class is 83% (95% CI = 75%–91%), and the mean grade in Professor P's class is 75% (95% CI = 67%–83%).
(a) Is one confidence interval more precise? Explain.
Yes, the interval for Professor G's class is more precise. The mean for Professor G's class is higher. Yes, the interval for Professor P's class is more precise. The mean for Professor P's class is farther from 95%. No, the intervals have the same amount of precision. Both intervals use 95% confidence. No, the intervals have the same amount of precision. The interval width for each confidence interval is ±8 points.
(b) Is one confidence interval associated with greater certainty? Explain.
Yes, the interval for Professor G's class is associated with greater certainty. The mean for Professor G's class is higher. Yes, the interval for Professor P's class is associated with greater certainty. The mean for Professor P's class is farther from 95%. No, the intervals are associated with the same amount of certainty. Both intervals use 95% confidence. No, the intervals are associated with the same amount of certainty. The interval width for each confidence interval is ±8 points.
Explanation / Answer
As we can see that in 83% and 75% confidence intervals which interval will be more sharper then we find that 75% confidence inteval is more sharper because it contains less value than the 83% of confidence interval . 75 % condidence interval will have more peak than the 83% confidence interval. In 75% confidence interval it has 25% of the values in its tails . SO finally 75% confidence interval is more precious.
G 's is higher with mean so it will be associated with greater certainity.
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