CStatistics and Probability ques x Connedt Connect C Secure https://newconnect.m
ID: 2923222 • Letter: C
Question
CStatistics and Probability ques x Connedt Connect C Secure https://newconnect.mheducatio Check my work mode : This shows what is correct or incorrect for the work you have completed so far. It does not indicate completion. Return to question 5 A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year: 698 745 752 773710 720 719 705 754 719 702 711 705 742 738 685 709 713 743 696 774 740 762 758 729 points Round your answers to 2 decimal places.) a. Find the mean, median, and mode of this information. Answer is complete and correct. 728.08 Mean Median Mode s 720.00 $705 and 719 b. What are the range and standard deviation? Mc Graw HillExplanation / Answer
Solution:-
c) the interval is from 677.54 upto 778.62.
The empirical rule, also known as the three-sigma rule or the 68-95-99.7 rule, provides a quick estimate of the spread of data in a normal distribution given the mean and standard deviation. Specifically, the empirical rule states that for a normal distribution:
68% of the data will fall within one standard deviation of the mean.
95% of the data will fall within two standard deviations of the mean.
Almost all (99.7%) of the data will fall within three standard deviations of the mean.
c) 95% of the data will fall within two standard deviations of the mean is C.I = (677.54, 778.62)
C.I = xbar + 2 × S.D
C.I = 728.08 + 2 × 25.27
C.I = 728.08 + 50.54
C.I = (677.54, 778.62)