# The plot shows total payroll in millions of dollars for the 30 major league teams of professional baseball sorted by league (National or American) and division (East, Central, West). a. Identify the observational units, the response, and the explanatory variable.

The plot shows total payroll in millions of dollars for the 30 major league teams of professional baseball sorted by league (National or American) and division (East, Central, West).

a. Identify the observational units, the response, and the explanatory variable.

b. For plots like the one above:

i. Each point represents a _______ (unit, response value, value of the explanatory variable).

ii. Each horizontal cluster, taken as a whole, corresponds to a value of the _________ (response, explanatory) variable.

iii. Values along the horizontal axis represent values of the _________ (response, explanatory) variable.

c. The overall distribution of the response is (choose one):

A. Symmetric

B. Skewed right (a long tail points to the larger values)

C. Skewed left (a long tail points to the lower values)

D. No way to tell; need to see a histogram

d. Comparing groups by eye suggests that (choose one):

A. Group means are roughly equal. A p-value will show weak evidence of differences between group means.

B. Group means show substantial differences, but total payroll varies a lot within divisions. A p-value will not show strong evidence of group differences in means.

C. Group means are roughly equal, but within-group variability is small enough that with several response values per group even the small differences in means will register as significant.

D. Group means show substantial differences, and overall variability within divisions is small enough by comparison to differences in group means that a p-value will show evidence, possibly strong evidence, of differences.

E. There is no way to tell without getting a computer to find the p-values.

The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...

a. Identify the observational units, the response, and the explanatory variable.

b. For plots like the one above:

i. Each point represents a _______ (unit, response value, value of the explanatory variable).

ii. Each horizontal cluster, taken as a whole, corresponds to a value of the _________ (response, explanatory) variable.

iii. Values along the horizontal axis represent values of the _________ (response, explanatory) variable.

c. The overall distribution of the response is (choose one):

A. Symmetric

B. Skewed right (a long tail points to the larger values)

C. Skewed left (a long tail points to the lower values)

D. No way to tell; need to see a histogram

d. Comparing groups by eye suggests that (choose one):

A. Group means are roughly equal. A p-value will show weak evidence of differences between group means.

B. Group means show substantial differences, but total payroll varies a lot within divisions. A p-value will not show strong evidence of group differences in means.

C. Group means are roughly equal, but within-group variability is small enough that with several response values per group even the small differences in means will register as significant.

D. Group means show substantial differences, and overall variability within divisions is small enough by comparison to differences in group means that a p-value will show evidence, possibly strong evidence, of differences.

E. There is no way to tell without getting a computer to find the p-values.

Baseball payrolls*

DistributionThe word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...

**Transcribed Image Text:**

## Nat'l East Nat'l Central Nat'l West Amer East Amer Central Amer West 200 50 100 150 Total payroll

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**Related Book For**

## Introduction To Statistical Investigations

**ISBN:** 9781118172148

1st Edition

**Authors:** Beth L.Chance, George W.Cobb, Allan J.Rossman Nathan Tintle, Todd Swanson Soma Roy

**Question Details**

Chapter #

**9**- Comparing More Than Two MeansSection: Section 9.1

Problem: 11

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