A sample of 15 children from Cape Town showed that the mean time spent watching TV is 28.50 hours per week with standard deviation of 4 hours per week. Another sample of 16 children from Durban showed the mean time as 23.25 hours per week with a standard deviation of 5 hours per week. Assuming the mean time spent by children watching TV is normally distributed for the two populations with equal standard deviation with samples drawn are independent. Calculate the 95% confidence interval for the difference in mean lifetimes spent by the children watching TV. (12)

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

you first to choose the points and then move from then as the slope you have

10 birds

step-by-step explanation: