In applied life data analysis (wiley, 1982), wayne nelson presents the breakdown time of an insulating fluid between electrodes at 34kv. the times, in minutes, are as follows: 0.15, 0.75, 0.96, 1.35, 2.87, 3.19, 4.01, 4.62, 4.88, 6.43, 7.41, 8.04, 8.24, 12.86, 31.63, 32.61, 33.98, 36.18, and 72.83. calculate the sample mean and sample deviation of the breakdown data.

Mean = 14.3679

S.D = 18.83

Step-by-step explanation:

We are given the following data:

Time(minute)          

0.15,0.75,0.96,1.35,2.87,3.19,4.01,4.62,4.88,6.43,7.41,8.04,8.24,12.86,31.63,32.61,33.98,36.18,72.83

Formula:

Formula:

, where n is the total number of observations.

Sum of square of diffrences = 6386.57

S.D =

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.