In order to estimate the mean monthly rental of the 300,000 31/2 room apartments for lower income housing in New York City a random sample of apartments is chosen and the rents are recorded. The housing authority wishes to be 95% certain that the error in estimating the mean monthly rental is less that $20. How many apartments should be in the sample? The standard deviation of rents is not known.

4

step-by-step explanation:

d

step-by-step explanation:

d

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