Samples from two independent, normally-distributed populations produced the following results.

population 1 population 2
sample size 7 9
sample mean 15.9 12.6
sample standard deviation 10.2 13.4

calculate the 95% confidence interval for the difference between population means μ1-μ2

a. 1.889
b. 8.6
c. 1.128
d. 1.286

The 95% confidence interval for the difference between population means μ1-μ2 is .

Step-by-step explanation:

Given : Samples from two independent, normally-distributed populations produced the following results.

                                     Population 1                 Population 2

Sample size                            7                                   9

Sample mean                        15.9                              12.6

Sample standard deviation 10.2                              13.4

The confidence interval for the difference between population means μ1-μ2 is given by :-

, where = sample size from population 1

 = sample size from population 2

= Difference between sample mean of two population

= Sample standard deviation of population 1.

= Sample standard deviation of population 2.

t* = Critical value for and significance .

As per given :

df = 7+9-2=14

Critical t-value :

So , the 95% confidence interval for the difference between population means μ1-μ2 would be

Hence, the 95% confidence interval for the difference between population means μ1-μ2 :

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4