Question

I need help please

The accompanying summary data on Ceo, particle sizes (nm) under certain experimental conditions was read from a graph in an article. 3.0-<3.5 3.5-c4.0 4.0-c4.5 4.5-<5.0 S0-5.5 21 15 23 34 5.5-c6.0 6.0-c6.5 6.5-<7.0 7.0-<7.5 7.5-<8.0 13 (a) what proportion of the observations are less than 57 (Round your answer to three decimal places.) (b) What proportion of the observations are at least 67 (Round your answer to three decimal places ) (s) Construct a histogram with relative frequency on the vertical axs Percent Peroent Percent Percent 25 25 25 25 23 20 20 20 15 15 15 15 10 10 10- 10 Parile Size 5 Partidle Sine Partide Sia Particle Size 7 (nm) (em) 5 3 (nm) 7 (nm) 3 4 5 6 7 8 Comment on interesting features In particular, does the distribution of particle sizes appear to be reasonably syemebric or somewhat siewed? (Note: The ivestigators f a legnomal distribution to the data O symmetric O positively skewed O negatively skewed (d) Construct a histogram with density on the vertical axis Density Densiry Denaity Density 0.5i 04 03 04 o3 02 Partide Sian 02l Partide Sine 0.1 Partide Siee (am) 3 4 (nm) Partide Size (am) 4 (am) 6

Answer 1

Solutim the distoilutionfa Nocw to find the Jielative data Num be of times the Value occus Rela tive Value of Numbes of obsenvations in the Set dat a Data foreg ueny Relative fneguen cy 3.o 3.5 is3 3.5- 0. o6 O.2s 34 34/131 4.5- 0 21/131 O.60 5-0. 5.5 3/13 3 5.5-6.0 O.06 6.0 65 E 8 O.008 G.5- }.o O. 038 7.0-<7.5 7.5 8.0 13 i Poro Pation_of the otseavations les tham 5 Pso pation af the obsea Vations lesthan 5 0.ol6t 0i4 0.306-t 0 as

o.6 25 at teast aJe [bto find te paop&tion of te obseowations at least - 0.0Clf o.008 to-038+ the obsenvations leam 6 of Porupition O o08 - An sce: os

C) Peoicent 95 5 4 Pantiut Sr fnm ect histogsraw temce the option cg the Forom the above histogam. Tt Hat mat Cambe obseved of data fall ight te data iPasibvely Ansuer: Pasitively Hencehe option-B ig the (?nect ansue Side. Thenefe t. distzibution of Skeafd Skeced (a) Deit . 5 Ansaen optionA s the Snet stogam o.3 o1 the data fall ght iele fositiveiy skearea 6 mat af distnibution of the data is Tt (am be obseved Hhat he side. Thesefae Anscoes option-A