A hamburger chain sells large hamburgers. When we take a sampleof 40 hamburgers and weigh​ them, we find that the mean is 0.52pounds and the standard deviation is 0.3 pound.
Technology Output N 40 Mean 0.52  STDEV. 0.3000 One-Sample T SEMean 0.0474 95% CI ​(0.4241, 0.61590)
a. A technology input menu for calculating aconfidence interval requires a sample​ size, a sample​ mean, and asample standard deviation. State how you would fill in thesenumbers.
Sample Size: Answer ____ Sample Mean:Answer ____ Â Â Standard Deviation:Answer _____ (Type an integer or a decimal do notround)
b. Choose the correctinterpretation of the confidence interval below and fill in theanswer boxes to complete your choice. ​(Round to four decimalplaces as needed. Use ascending​ order.) Using the accompanyingtechnology​ output, report the confidence interval in a carefullyworded sentence.
A.We are​ 95% confident that the population mean is betweenAnswer ___ and ___.
B.There is a​ 95% probability that the recorded sample mean isbetween Answer ___ and ___.
C.There is a​ 95% probability that the population mean isbetween Answer ___ and ___.
D.We are​ 95% confident that the recorded sample mean is betweenAnswer ___ and ___.