A scientist has studied the density of nitrogen and found that nitrogen produced from chemical compounds tended to be lower than the densities of…

A scientist has studied the density of nitrogen and found that nitrogen produced from chemical compounds tended to be lower than the densities of nitrogen produced from the air. His measurements are below….

Chemical

2.30143

2.29890

2.29816

2.30182

2.29869

2.29940

2.29849

2.29889

2.30074

2.30054

Atmospheric

2.31017

2.30986

2.31010

2.31001

2.31024

2.31010

2.31028

2.31163

2.30956

1.) Calculate the summary statistics for each set of data (mean, standard deviation, five-number summary)

2.) What is the interquartile range of each data set? Identify the interval of values that defines the IQR. 

3.) Do the samples appear to be from the same population? Why or why not? Support your answer with numerical facts and convincing reasons and explanations. 

4.) The ages of the Oscar-winners for best actor and actress for the years 1970 through 1990 are given below:

Women: 34, 34,26,37,42,41,35,31,41,33,30,74,33,49,38,61,21,41,26,80,72 Men: 43, 40,48,48,56,38,60,32,40,42,37,76,39,55,45,35,61,33,51,32,42

Please discuss apparent difference in the ages of Oscar-winning men and women. Use both a numerical and graphical argument.