Question

A fitness trainer claims that high intensity power training decreases the body fat percentages of females. The table below shows the body fat percentages of

eight

females before and after 10 weeks of high intensity power training. At

alphaαequals=0.10

is there enough evidence to support thetrainer's claim? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (e) below.

Female |
Body_Fat_%_(before) |
Body_Fat_%_(after) |

1 | 27.2 | 27.1 |

2 | 23.6 | 23 |

3 | 23.9 | 23.8 |

4 | 23.5 | 23.4 |

5 | 24.2 | 24 |

6 | 27.4 | 26.8 |

7 | 28.3 | 28.2 |

8 | 28.1 | 28.5 |

(a) Identify the claim and state

Upper H 0H0

and

Upper H Subscript aHa.

What is the claim?

High intensity power training

decreases

the body fat percentages of females.

Let

mu Subscript dμd

be the hypothesized mean of the difference in the body fat percentages

(beforeminus−after).

What are

Upper H0

and

Upper H Subscript aHa?

(b) Find the critical value(s) and identify the rejection region(s).

Select the correct choice below and fill in any answer boxes to complete your choice.

(Round to three decimal places as needed.)

(c) Calculate

d overbard

and

s Subscript dsd.

Calculate

s Subscript dsd.

(d) Find the standardized test statistic t. (e) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.

1) ____ the null hypothesis. There (2)_____ enough evidence to (3) ________ the claim that high intensity power training (4) _____ the body fat percentages of females.

(1) reject, fail to reject (2) is, is not (3) reject, support (4) decreases, increases

8.

Answer #1

A fitness trainer claims that high intensity power training
decreases the body fat percentages of females. The table below
shows the body fat percentages of 8 females before and after 10
weeks of high intensity power training. At alpha
equals0.05, is there enough evidence to support the trainer's
claim? Assume the samples are random and dependent, and the
population is normally distributed. Complete parts (a) through
(e) below.
Body fat percentage (before)
24.5
25.4
27.6
28.8
25.3
23.1
25.3
28.6...

A researcher claims that a post-lunch nap decreases the amount
of time it takes males to sprint 20 meters after a night with only
4 hours of sleep. The table shows the amounts of time (in seconds)
it took for 10 males to sprint 20 meters after a night with only 4
hours of sleep when they did not take a post-lunch nap and when
they did take a post-lunch nap. At
alphaαequals=0.01,
is there enough evidence to support the...

In a survey of
one hundred and eight five
females who recently completed high school,
eighty percent
were enrolled in college. In a survey of
one hundred and fifty
males who recently completed high school,
sixty eight percent
were enrolled in college. At
α=0.07,
can you reject the claim that there is no difference in the
proportion of college enrollees between the two groups? Assume the
random samples are independent. Complete parts (a) through
(e).
(a) Identify the claim and...

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alphaαequals=0.04
is there enough evidence to support the society's claim?(a)
Write the claim mathematically and identify
Upper H 0H0
and
Upper H Subscript aHa.
(b) Find the critical value(s) and identify the rejection
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whether to reject or...

The table below shows the number of hours per day 11 patients
suffered from headaches before and after 7 weeks of soft tissue
therapy. At alphaαequals=0.01,
is there enough evidence to conclude that soft tissue therapy
helps to reduce the length of time patients suffer from headaches?
Assume the samples are random and dependent, and the population is
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Patient Daily headache hours (before)
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2 1.8 2.2...

Use the given sample statistics to test the claim about the
difference between two population means
mu 1μ1 and mu μ2 at the given level of significance
alphaα=0.01.
Claim: mu 1μ1greater than>mu 2μ2,
Statistics: x overbar 1=5.2, s1=0.30, n1=48 and x overbar
2=5.6, s2=0.7 n2=37
Choose the correct null and alternative hypotheses below.
A. Upper H 0: mu 1greater thanmu 2 (Claim) Upper H Subscript
a: mu 1less than or equalsmu 2
B. Upper H 0: mu 1not equalsmu 2...

A magazine claims that the mean amount spent by a customer at
Burger Stop is greater than the mean amount spent by a customer at
Fry World. The results for samples of customer transactions for the
two fast food restaurants are shown below. At
alphaαequals=0.05
can you support the magazine's claim? Assume the population
variances are equal. Assume the samples are random and
independent, and the populations are normally distributed. Complete
parts (a) through (e) below.
Burger Stop
Fry World...

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About
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A personnel director in a particular state claims that the mean
annual income is greater in one of the state's counties (county A)
than it is in another county (county B). In County A, a random
sample of
1818
residents has a mean annual income of
$ 40 comma 100$40,100
and a standard deviation of
$ 8900$8900.
In County B, a random sample of
88
residents has a mean annual income of...

A group says that the mean daily lodging cost for a family
traveling in Region 1 is the same as in Region 2. The mean daily
lodging cost for
3939
families traveling in Region 1 is
$141141
with a population standard deviation of
$2424.
The mean daily lodging cost for
3939
families traveling in Region 2 is
$135135
with a population standard deviation of
$2525.
At
alpha equals 0.10 commaα=0.10,
is there enough evidence to reject the group's claim? Complete...

A group says that the mean daily lodging cost for a family
traveling in Region 1 is the same as in Region 2. The mean daily
lodging cost for
32
families traveling in Region 1 is
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with a population standard deviation of
$2828.
The mean daily lodging cost for
thirty two
families traveling in Region 2 is
$121
with a population standard deviation of
$2121.
At
alpha equals 0.10
is there enough evidence to reject thegroup's claim? Complete
parts...

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