Question

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.

Suppose that at five weather stations on Trail Ridge Road in Rocky
Mountain National Park, the peak wind gusts (in miles per hour) for
January and April are recorded below.

Wilderness District |
1 |
2 |
3 |
4 |
5 |

January |
137 | 128 | 134 | 64 | 78 |

April |
114 | 110 | 114 | 88 | 61 |

Does this information indicate that the peak wind gusts are
higher in January than in April? Use *α* = 0.01. Solve the
problem using the critical region method of testing. (Let
*d* = January − April. Round your answers to three decimal
places.)

test statistic | = | |

critical value | = |

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 company percentage increase in revenue,
versus row *A*, the CEO's annual percentage salary increase
in that same company. Suppose a random sample of companies yielded
the following data:

B: Percent increasefor company |
16 | 22 | 24 | 18 | 6 | 4 | 21 | 37 |

A: Percent
increasefor CEO |
20 | 20 | 28 | 14 | -4 | 19 | 15 | 30 |

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? Use a 5%
level of significance. Solve the problem using the critical region
method of testing. (Let *d* = *B* − *A*. Round
your answers to three decimal places.)

test statistic | = | |

critical value | = ± |

Answer #1

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.
At five weather stations on Trail Ridge Road in Rocky Mountain
National Park, the peak wind gusts (in miles per hour) for January
and April are...

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...

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.
At five weather stations on Trail Ridge Road in Rocky Mountain
National Park, the peak wind gusts (in miles per hour) for January
and April are...

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.
At five weather stations on Trail Ridge Road in Rocky Mountain
National Park, the peak wind gusts (in miles per hour) for January
and April are...

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