Weights of Elephants A sample of 7 adult elephants had an average weight of 11,647 pounds. The standard deviation for the sample was 24 pounds. Find the 95 % confidence interval of the population mean for the weights of adult elephants. Assume the variable is normally distributed. Round intermediate answers to at least three decimal places. Round your final answers to the nearest whole number.

The 95 % confidence interval of the population mean for the weights of adult elephants

(11,629.375 , 11,664.625) up to three decimals

Nearest whole number

(11,629 , 11,665)

Step-by-step explanation:

Explanation:-

A sample of 7 adult elephants had an average weight of 11,647 pounds

size of the sample 'n' =7

The mean of the sample x⁻ = 11,647 pounds

The standard deviation of the sample 'S' = 24 pounds

Step(ii):-

The 95 % confidence interval of the population mean for the weights of adult elephants

The degrees of freedom γ =n-1 = 7-1=6

t₆ = 1.943

(11,647-17.625 , 11,647+17.625)

(11,629.375 , 11,664.625)

Conclusion:-

The 95 % confidence interval of the population mean for the weights of adult elephants

(11,629 , 11,665)

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

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