Question

Are America's top chief executive officers (CEOs) really worth
all that money? One way to answer this question is to look at row
*B*, the annual company percentage increase in revenue,
versus row *A*, the CEO's annual percentage salary increase
in that same company. Suppose that a random sample of companies
yielded the following data:

for company |
21 | 10 | 15 | 23 | 15 | 29 | 20 | 30 |

for CEO |
17 | 1 | 11 | 28 | 16 | 34 | 12 | 22 |

Do these data indicate that the population mean percentage
increase in corporate revenue (row *B*) is different from
the population mean percentage increase in CEO salary? Assume that
the distribution of differences is approximately normal,
mound-shaped and symmetric. Use a 5% level of significance. What is
the alternate hypothesis?

Select one:

a. *H*_{1} : *μ _{d}* = 0

b. *H*_{1} : *μ _{d}* ≥ 0

c. *H*_{1} : *μ _{d}* < 0

d. *H*_{1} : *μ _{d}* > 0

e. *H*_{1} : *μ _{d}* ≠ 0

Answer #1

Obs. | B | A | d=B-A | d-d_bar | (d-d_bar)^2 |

1 | 21 | 17 | 4 | 1.25 | 1.5625 |

2 | 10 | 1 | 9 | 6.25 | 39.0625 |

3 | 15 | 11 | 4 | 1.25 | 1.5625 |

4 | 23 | 28 | -5 | -7.75 | 60.0625 |

5 | 15 | 16 | -1 | -3.75 | 14.0625 |

6 | 29 | 34 | -5 | -7.75 | 60.0625 |

7 | 20 | 12 | 8 | 5.25 | 27.5625 |

8 | 30 | 22 | 8 | 5.25 | 27.5625 |

SUM = | 22 | 231.5 | |||

MEAN = | 2.75 |

Are America's top chief executive officers (CEOs) really worth
all that money? One way to answer this question is to look at row
B, the annual company percentage increase in revenue, versus row A,
the CEO's annual percentage salary increase in that same company.
Suppose that a random sample of companies yielded the following
data: B: Percent increase for company 38 8 14 11 28 3 7 4 A:
Percent increase for CEO 33 9 10 10 31 6 –3...

Are America's top chief executive officers (CEOs) really worth
all that money? One way to answer this question is to look at row
B, the annual company percentage increase in revenue,
versus row A, the CEO's annual percentage salary increase
in that same company. Suppose that a random sample of companies
yielded the following data:
B: Percent increase
for company
19
20
27
12
5
7
30
6
A: Percent increase
for CEO
11
22
30
5
7
2
27...

Are America's top chief executive officers (CEOs) really worth
all that money? One way to answer this question is to look at row
B, the annual company percentage increase in revenue, versus row A,
the CEO's annual percentage salary increase in that same company.
Suppose that a random sample of companies yielded the following
data: B: Percent for company 2 5 29 8 21 14 13 12 A: Percent for
CEO -1 5 21 13 12 18 9 8 Do...

Are America's top chief executive officers (CEOs) really worth
all that money? One way to answer this question is to look at row
B, the annual company percentage increase in revenue, versus row A,
the CEO's annual percentage salary increase in that same company.
Suppose that a random sample of companies yielded the following
data: B: Percent for company 28 16 25 26 18 20 7 10 A: Percent for
CEO 23 14 23 18 23 10 4 14 Do...

In this problem, assume that the distribution of differences is
approximately normal. Note: For degrees of freedom
d.f. not in the Student's t table, use
the closest d.f. that is smaller. In
some situations, this choice of d.f. may increase
the P-value by a small amount and therefore produce a
slightly more "conservative" answer.
Are America's top chief executive officers (CEOs) really worth all
that money? One way to answer this question is to look at row
B, the annual...

In this problem, assume that the distribution of differences is
approximately normal. Note: For degrees of freedom d.f. not in the
Student's t table, use the closest d.f. that is smaller. In some
situations, this choice of d.f. may increase the P-value by a small
amount and therefore produce a slightly more "conservative" answer.
Are America's top chief executive officers (CEOs) really worth all
that money? One way to answer this question is to look at row B,
the annual...

In this problem, assume that the distribution of differences is
approximately normal. Note: For degrees of freedom
d.f. not in the Student's t table, use
the closest d.f. that is smaller. In
some situations, this choice of d.f. may increase
the P-value by a small amount and therefore produce a
slightly more "conservative" answer.
Are America's top chief executive officers (CEOs) really worth all
that money? One way to answer this question is to look at row
B, the annual...

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