A certain counselor wants to compare mean IQ scores for two different social groups. A random sample of 13 IQ scores from group 1 showed a mean of 114 and a standard deviation of 16 , while an independently chosen random sample of IQ scores from group 2 showed a mean of 105 and a standard deviation of 14. Assuming that the populations of IQ scores are normally distributed for each of the groups and that the variances of these populations are equal, construct a 95% confidence interval for the difference mu1 - mu2 between the mean mu1 of IQ scores of group and the mean mu2 of IQ scores of group. Then find the lower limit and upper limit of the confidence interval.

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.

can i know which language is this?