A pet storeowner believes that dog owners spend more on average than cat owners on their pets. The owner randomly records the sales of 40 customers that said they only owned dogs and 40 customers that said they only owned cats. What is the correct decision and summary based off the Excel output below? Assume the populations are approximately normally distributed with unequal variances. 1-Test: Two-Sample Assuming Unequal variances Dog Cat Mean 56.0695 52.92225 Variance 500.088 553.7205 Observations Hypothesized Mean Difference t Stat 0.5850 PITC=t) one-tail 0.2798 t Critical one-tail 1.6646 PITC=t) two-tail 0.5596 t Critical two-tail 1.9908 a) What is the correct test statistic?
a. 1.6646
b. 0.2798
c. 0.5860
d. 1.9908
e. 0.5596
b) What is the correct p-value?
a. 0.5860
b. 1.6646
c. 0.5596
d. 0.2798
e. 1.9908

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.

hiking down a winding trail.

step-by-step explanation:

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.

a

step-by-step explanation: