Question

An analysis of the data for the crushing strength of concrete gave the following information: Interval Observed frequency <6.75 6.75-7.00 7.00-7.25 7.25 -7.50 7.50-7.75 7.75-8.00 8.00 -8.50 > 8.75 The mean value (u) and standard deviation ( o ) for this data is 7.50 ksi and 0.53 ksi respectively. Check if normal distribution is substantiated for this data.

Answer 1

he west 0 Answer to - According to collect from the data 1. let us assume that the equations are → → Now we have to conside, the data as followed è The analysis of data to the crushing strength for the concentrate Interval 26.75 l observed freaquiny 9 6.75-7.00 17 where 7.00 -1.25 7.25 - 7.50 M= 7.50 6 = 0.53 2 7850 - 7075 7-15 - 8.00 8.0 -8.50 >8075 Now we have to draw a graphs as followed auton Scall on x-axis is lunit = 0.25on ony-axisis lunt sem obewed froncay. crushing strength (kil

check the normal distribution of substanitained Now we have to of the data ya Vane Cree o let us calculate the y values of differectal equations sube fald from in %= oss on = 0.4$25, 93 - Sep 910-19 20-618 - (75-70s) 0.75 27; 95053525 7-75-7-5) 200.53) -> 0-6735 yy= e 260.53) (8.25-2.1) -(8-75-75) - 260.53) C 0.210 0.312 48 0.5312 0.539 T 210-53) you be con é i :-(8-8-7-6) ► 0.4895, yya onda to 2103217 é 820-331 => 0.2765 Yo = ossom er let = 01169 0.0466 MES 0.1269, 99 . Now we have to draw and height of ree normal distribution and its Creshing reales then its bell shaped cursued by using 4,5 values and its started from normal distribution . Height of normal Distribution 0 6.75 7 725 905 7.75 8 8.25 8.5 8.75 Crushing Shengt