The manager of a paint supply store wants to estimate the actual amount of paint contained in 11-gallon cans purchased from a nationally known manufacturer. themanufacturer's specifications state that the standard deviation of the amount of paint is equal to 0.01 gallon. a random sample of 50 cans is selected, and the sample mean amount of paint per 11-gallon can is 0.982 gallon.1. construct a 99%confidence interval estimate for the population mean amount of paint included in a 1-gallon can.2. on the basis of theseresults, do you think the manager has a right to complain to themanufacturer? why? 3. must you assume that the population amount of paint per can is normally distributed here? explain.4.construct a 90& confidence interval estimate. how does this change your answer to part (b)?

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

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step-by-step explanation: