Question

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 parts (a) through (e).(a) Identify the claim and state

Upper H 0H0

and

Upper H Subscript aHa.

What is the claim?

A.

The mean daily lodging costs in Region 1 and Region 2 are different.

B.

The mean daily lodging costs in Region 1 and Region 2 are equal.

C.

The mean daily lodging cost in Region 1 is less than Region 2.

D.

The mean daily lodging cost in Region 1 is greater than Region 2.

What are

Upper H 0H0

and

Upper H Subscript aHa?

A.

Upper H 0H0:

mu 1μ1less than<mu 2μ2

Upper H Subscript aHa:

mu 1μ1greater than or equals≥mu 2μ2

B.

Upper H 0H0:

mu 1μ1less than or equals≤mu 2μ2

Upper H Subscript aHa:

mu 1μ1greater than>mu 2μ2

C.

Upper H 0H0:

mu 1μ1not equals≠mu 2μ2

Upper H Subscript aHa:

mu 1μ1equals=mu 2μ2

D.

Upper H 0H0:

mu 1μ1greater than or equals≥mu 2μ2

Upper H Subscript aHa:

mu 1μ1less than<mu 2μ2

E.

Upper H 0H0:

mu 1μ1equals=mu 2μ2

Upper H Subscript aHa:

mu 1μ1not equals≠mu 2μ2

F.

Upper H 0H0:

mu 1μ1greater than>mu 2μ2

Upper H Subscript aHa:

mu 1μ1less than or equals≤mu 2μ2

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

The critical value(s) is/are

nothing.

(Round to three decimal places as needed. Use a comma to separate answers as needed.)

What is/are the rejection region(s)?

A.

zgreater than>2.575

B.

zless than<1.28,

zgreater than>1.28

C.

zgreater than>minus−2.33

D.

zless than<minus−2.33,

zgreater than>2.33

E.

zless than<minus−2.575,

zgreater than>2.575

F.

zless than<1.645

G.

zless than<minus−1.645,

zgreater than>1.645

H.

zless than<1.28

(c) Find the standardized test statistic z for

mu 1μ1minus−mu 2μ2.

zequals=nothing

(Round to three decimal places as needed.)

(d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.

A.

RejectReject

Upper H 0H0.

The standardized test statistic

is notis not

in the rejection region.

B.

Fail to rejectFail to reject

Upper H 0H0.

The standardized test statistic

is notis not

in the rejection region.

C.

RejectReject

Upper H 0H0.

The standardized test statistic

isis

in the rejection region.

D.

Fail to rejectFail to reject

Upper H 0H0.

The standardized test statistic

isis

in the rejection region.

(e) Interpret the decision in the context of the original claim.

At the

nothing%

significance level, there is

▼

insufficient

sufficient

evidence to

▼

reject

support

the claim that the mean daily lodging costs in Region 1 is

▼

less than

equal to

different from

greater than

the mean daily lodging costs in Region 2.

Click to select your answer(s).

Answer #1

Please arrange the solution accordingly.

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
$126
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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$11.50 x overbar 2= $70 s2= $30 At alphaαequals=0.010.01, would
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the samples are independent....

Provided below are summary statistics for independent simple
random samples from two populations. Use the pooled t-test and the
pooled t-interval procedure to conduct the required hypothesis
test and obtain the specified confidence interval.
x overbar 1x1equals=1414,
s 1s1equals=2.42.4,
n 1n1equals=1818,
x overbar 2x2equals=1515,
s 2s2equals=2.42.4,
n 2n2equals=1818
a. Two-tailed test,
alphaαequals=0.050.05
b.
9595%
confidence interval
a. First, what are the correct hypotheses for
a two-tailed test?
A.
Upper H 0H0:
mu 1μ1equals=mu 2μ2
Upper H Subscript aHa:
mu 1μ1not...

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An energy company wants to choose between two regions in a state
to install energy-producing wind turbines. A researcher claims that
the wind speed in Region A is less than the wind speed in Region B.
To test the regions, the average wind speed is calculated for
6060
days in each region. The mean wind speed in Region A is
13.713.7
miles per hour. Assume the population standard deviation is
2.82.8
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Researchers investigated the physiological changes that
accompany laughter. Ninety subjects (18-34 years old) watched film
clips designed to evoke laughter. During the laughing period, the
researchers measured the heart rate (beats per minute) of each
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x overbarxequals=73.273.2 ,
sequals=55.
It is well known that the mean resting heart rate of adults
is
7171
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d below.
a. Set up
Upper H 0H0
and
Upper H Subscript aHa
for...

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consumption in a certain region is more than
870870
kiloWatt-hours (kWh). You want to test this claim. You find
that a random sample of
7070
residential customers has a mean monthly consumption of
900900
kWh. Assume the population standard deviation is
120120
kWh. At
alphaαequals=0.050.05,
can you support the claim? Complete parts (a) through(e).
(a) Identify
Upper H 0H0
and
Upper H Subscript aHa.
Choose the correct answer below.
A.
Upper...

A politician claims that the mean salary for managers in his
state is more than the national? mean, ?81,000. Assume the the
population is normally distributed and the population standard
deviation is ?$9000. The salaries? (in dollars) for a random sample
of 30 managers in the state are listed. At ?=0.1?, is there enough
evidence to support the? claim? Use technology
97,114
79,642
71,801
88,955
76,739
75,497
95,067
95,523
94,043
80,146
96,239
90,034
94,963
76,493
83,155
92,796
71,584
94,954
81,307...

The lengths of time? (in years) it took a random sample of
3232
former smokers to quit smoking permanently are listed. Assume
the population standard deviation is
4.24.2
years. At
alpha?equals=0.060.06?,
is there enough evidence to reject the claim that the mean time
it takes smokers to quit smoking permanently is
1414
?years? Complete parts? (a) through? (e).
21.621.6
21.721.7
20.720.7
7.47.4
21.121.1
14.214.2
12.812.8
15.215.2
10.410.4
16.216.2
15.515.5
20.320.3
16.216.2
17.517.5
19.419.4
13.513.5
20.320.3
20.820.8
10.110.1
15.215.2
10.310.3
22.222.2...

Use the given sample statistics to test the claim about the
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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) Write the claim mathematically and identify
Upper H 0H0
and
Upper H Subscript aHa.
(b) Find the critical value(s) and identify the rejection
region(s). (c) Find the standardized test statistic. (d) Decide
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431431
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At
alphaαequals=0.020.02,
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4040%
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