Assuming that the population is normally distributed, construct a 95% confidence interval estimate for the populationmean for each of the following samples:Sample A: 1, 1, 1, 1, 8, 8, 8, 8Sample B: 1, 2, 3, 4, 5, 6, 7, 8Explain why these two samples produce different confidenceintervals even though they have the same mean andrange.

The given dot plot represents the average daily temperatures, in degrees fahrenheit, recorded in a town during the first 15 days of september. if the dot plot is converted to a box plot, the first quartile would be drawn at __ , and the third quartile would be drawn at __ link to graph: .

Ascientist has discovered an organism that produces five offspring exactly one hour after its own birth, and then goes on to live for one week without producing any additional offspring. each replicated organism also replicates at the same rate. at hour one, there is one organism. at hour two, there are five more organisms. how many total organisms are there at hour seven? 2,801 19,531 19,607 97.655

1) prove that 731^3−631^3 is divisible by 100 2) prove that 99^3−74^3 is divisible by 25