Thirty-eight percent of all americans drink bottled water more than once a week (natural resources defense council, december 4, 2015). suppose you have been hired by the natural resources defence council to investigate bottled water consumption in st. paul. you plan to select a sample of st. paulites to estimate the proportion who drink bottled water more than once a week. assume the population proportion of st. paulites who drink bottled water more than once a week is , the same as the overall proportion of americans who drink bottled water more than once a week. use z-table.
a. suppose you select a sample of st. paulites. show the sampling distribution of (to 4 decimals).

b. based upon a sample of st. paulites, what is the probability that the sample proportion will be within of the population proportion (to 4 decimals).
probability
c. suppose you select a sample of st. paulites. show the sampling distribution of (to 4 decimals).

d. based upon a smaller sample of only st. paulites, what is the probability that the sample proportion will be within of the population proportion (to 4 decimals).
probability
e. as measured by the increase in probability, how much do you gain in precision by taking the larger sample in parts (a) and (b) rather than the smaller sample in parts (c) and (d)?

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

“ a line segment that has the endpoints on the circle and passes through the midpoint is called the diameter. the diameter is twice the size of the radius. a line segment that has its endpoints on the circular border but does not pass through the midpoint is called a chord. a circle is the same as 360 small circle up the number 0 . i hope this .

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation:

answer:

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step-by-step explanation: