Answer:
Step-by-step explanation:
As far as I know, this question is not correct. I have the searched the internet and found a similar question which makes sense. In the correct question, 95% Confidence Interval is already given calculated from the software and
<em>95% prediction interval is asked (PI) for the weight of one male long tailed finch weighing 20 g.</em>
We have this data given in the correct question found on internet. And they have calculated this data using software:
New Obs = 20
Fit = 92.34
SE Fit = 5.26
95% Confidence Interval = (81.29, 103.38)
95% Prediction Interval = (67.61, 117.06)
Now, Just look at the prediction interval:
Now the formula for Prediction Interval = Point Estimate ± Margin of Error
Upper limit for prediction interval = 117.06
lower limit = 67.61
Formula for point estimate = (Upper + Lower)/2
Point Estimate = (117.06 + 67.61)/2
Point Estimate = 92.34
Formula for margin of error = (Upper - Lower)/2
Margin of Error = (117.06 - 67.61)/2
Margin of Error = 24.72
Formula for Prediction Interval = Point Estimate ± Margin of Error
PI = 92.34 ± 24.72