An employee of a small software company in Minneapolis bikes to work during the summer months. He can travel to work using one of three routes and wonders whether the average commute times (in minutes) differ between the three routes. He obtains the following data after traveling each route for one week. Route 1 34 35 29 36 29 Route 2 21 28 25 30 24
Route 3 22 27 25 30 26

The following one-way ANOVA results were obtained for α = 0.01:

ANOVA
Source of Variation SS df MS F p-value F crit
Between Groups 240.93 2 120.47 11.400 0.0017 6.93
Within Groups 126.80 12 10.57
Total 367.73 14

Required:
a. At the 1% significance level do the average commute times differ between the three routes.
b. Use Tukey’s HSD test at the 1% significance level to determine which routes' average times differ.

the correct answer is a.) bc< mn 5 stars if this you : )

step-by-step explanation:

42

step-by-step explanation:

hello!

to begin with, we're given that on earth, a rock weighs 20 pounds, and while on jupiter, that same rock weighs 42 pounds. now, we're trying to find the weight of a rock that weighs 10.5 pounds on earth, on jupiter.

to solve this, first, set up a proportion, cross-multiply, and solve it algebraically.

setting up the proportion is the hardest and the most confusing part of the problem, but it's simple.

if on earth, the rock weighs 20 lbs, and on jupiter it weighs 42 lbs, our first part of our proportion is 20/42 lbs. the second part has to be equal to each other. this means that 10.5 has to be on the numerator of the fraction, and x, the value we're trying to find, has to be on the denominator. remember that the rock weighs 10.5 lbs on earth, and we're trying to find the weight of it on jupiter (which is x).

20/42 = 10.5/x

next, you would cross-multiply.

20x = 42(10.5)

20x = 441

now, solve it algebraically by using division.

x = 22.05 lbs

this can be rounded to 22.1 lbs.

therefore, the weight of the rock on jupiter is 22.1 lbs, the fourth choice.

the answer will be 80.