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Need help filling out this chart: An employee of a small software company in Min

ID: 394295 • Letter: N

Question

Need help filling out this chart:

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 32 31 31 34 35 Route 2 23 20 22 29 22 Route 3 20 20 28 28 25 Click here for the Excel Data File Click here for the CSV Data File a-1. Construct an ANOVA table. (Round "Sum Sq" to 1 decimal place, "Mean Sq" and "Fvalue" to 2, and round the "p-value" to 4 decimal places.) ANOVA Source of Variation Route Residuals Total Df Sum Sq Mean Sq F value Pr(>F) 0.0

Explanation / Answer

ANOVA:

source

sum of

degrees of

mean square

F statistic

p-value

squares SS

freedom

MS

route

266.5

2

133.27

12.81

0.0011

error

124.8

12

10.40

total

391.3

14

TUKEY'S HSD:

treatments

Tukey HSD

Tukey HSD

Tukey HSD

pair

Q statistic

p-value

inferfence

route 2 - route 1

6.5

0.002

** p<0.01

route 3 - route 1

5.8

0.004

** p<0.01

route 3 - route 2

0.7

0.875

insignificant

ANOVA:

source

sum of

degrees of

mean square

F statistic

p-value

squares SS

freedom

MS

route

266.5

2

133.27

12.81

0.0011

error

124.8

12

10.40

total

391.3

14

TUKEY'S HSD:

treatments

Tukey HSD

Tukey HSD

Tukey HSD

pair

Q statistic

p-value

inferfence

route 2 - route 1

6.5

0.002

** p<0.01

route 3 - route 1

5.8

0.004

** p<0.01

route 3 - route 2

0.7

0.875

insignificant

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