Atoy maker claims his best product has an average lifespan of exactly 14 years. a skeptical quality control specialist asks for evidence (data) that might be used to evaluate this claim. the quality control specialist was provided data collected from a random sample of 45 people who used the product. using the data, an average product lifespan of 19 years and a standard deviation of 4 years was calculated. select the 99%, confidence interval for the true mean lifespan of this product.

interval = [17.3948 , 20.6052]

Step-by-step explanation:

given,

random sample (n) = 45

average product lifespan = 19 years

standard deviation = 4 years

confidence interval of 99 %  = ?

we know,

t* = qt(1.99/2 + 44 ) = qt(0.995,44)

t* = 2.692

so,

interval

interval = [19 - 1.6052 , 19 + 1.6052]

interval = [17.3948 , 20.6052]

step-by-step explanation:

i found the koficent of the linear function and i foun c acordind to the strict formula y=kx+c and then i took 2 as an x and replacet it on the formula i found and then foun the y

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: