Suppose that a random sample of 50 bottles of a particular brand of cough syrup is selected
and the alcohol content of each bottle is determined. let denote the average alcohol content
for the population of all bottles of the brand under study. suppose that the resulting 95%
confidence interval is (7.8, 9.4).

a) would a 90% confidence interval calculated from this same sample have been narrower
or wider than the given interval? explain your reasoning.

b) consider the following statement: there is a 95% chance that mu is between 7.8 and 9.4.
is this statement correct? why or why not?

c) consider the following statement: we can be highly confident that 95% of all bottles
of this type of cough syrup have an alcohol content that is between 7.8 and 9.4. is this
statement correct? why or why not?

d) consider the following statement: if the process of selecting a sample of size 50 and then
computing the corresponding 95% interval is repeated 100 times, 95 of the resulting
intervals will include mu. is this statement correct? why or why not?

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

total of apples - take away four

6-4 = 2

answer is 2 apples

answer: it is a.,b.,d.

step-by-step explanation:

hi,

the area of abcd is 245.

3*24=230

4*94=1039

2*12=24

add all of them up, you get 2450