Question

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

85,513

83,443

70,803

79,791

95,575

90,196

83,513

94,204

71,080

87,668

94,662

) Identify the null hypothesis and alternative hypothesis.

A.

Upper H 0H0?:

mu?not equals?81 comma 00081,000

Upper H Subscript aHa?:

mu?equals=81 comma 00081,000

B.

Upper H 0H0?:

mu?less than or equals?81 comma 00081,000

Upper H Subscript aHa?:

mu?greater than>81 comma 00081,000

C.

Upper H 0H0?:

mu?greater than>81 comma 00081,000

Upper H Subscript aHa?:

mu?less than or equals?81 comma 00081,000

D.

Upper H 0H0?:

mu?greater than or equals?81 comma 00081,000

Upper H Subscript aHa?:

mu?less than<81 comma 00081,000

E.

Upper H 0H0?:

mu?equals=81 comma 00081,000

Upper H Subscript aHa?:

mu?not equals?81 comma 00081,000

F.

Upper H 0H0?:

mu?greater than>81 comma 00081,000

Upper H Subscript aHa?:

mu?less than or equals?81 comma 00081,000

?(b) Identify the standardized test statistic.

zequals=nothing

?(Round the final answer to two places as needed. Round all intermediate values to three places as? needed.)

?(c) Find the? P-value. Use technology.

nothing

?(Round to three decimal places as? needed.)

?(d) Decide whether to reject or fail to reject the null hypothesis.

A.

RejectReject

Upper H 0H0.

There

isis

sufficient evidence to support the claim that managers mean salary is more than the national mean.

B.

RejectReject

Upper H 0H0.

There

is notis not

sufficient evidence to support the claim that managers mean salary is more than the national mean.

C.

Fail to rejectFail to reject

Upper H 0H0.

There

is notis not??

sufficient evidence to support the claim that managers mean salary is more than the national mean.

D.

Fail to rejectFail to reject

Upper H 0H0.

There

isis

sufficient evidence to support the claim that managers mean salary is more than the national mean.

Answer #1

We have given observations in increasing order will be,

70803,71080,71584,71801,75497,76493,76739,79642,79791,80146,81307,

83155,83443,83513,85513,87668,88955,90034,90196,92796,94043,94204,94662,

94954,94963,95067,95523,95575,96239,97114

Sample size:30

Mean (x?): 85750

Standard deviation (s): 8819.943

a) the null hypothesis and alternative hypothesis.

Option B) is correct.

vs

?(b) the standardized test statistic.

=2.891

c) P value =0.002

?(d) Option A) is correct.

Reject H0.

There is sufficient evidence to support the claim that managers mean salary is more than the national mean.

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...

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...

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
6.96.9
years. At
alphaαequals=0.020.02,
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).
10.810.8
19.519.5
8.18.1
17.117.1
20.320.3
13.613.6
8.68.6
16.516.5
20.320.3
7.77.7
20.720.7
13.713.7
16.716.7
21.221.2
15.615.6
8.38.3
16.716.7
21.921.9
22.422.4
12.212.2
18.418.4
17.917.9...

The dean of a university estimates that the mean number of
classroom hours per week for full-time faculty is
11.011.0.
As a member of the student council, you want to test this
claim. A random sample of the number of classroom hours for eight
full-time faculty for one week is shown in the table below. At
alphaαequals=0.100.10,
can you reject the dean's claim? Complete parts (a) through
(d) below. Assume the population is normally distributed.
10.810.8
9.49.4
12.712.7
6.16.1
4.94.9...

(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
whether to reject or fail to reject the null hypothesis.In a sample
of
10001000
home buyers, you find that
431431
home buyers found their real estate agent through a friend.
At
alphaαequals=0.020.02,
can you reject the claim that
4040%
of home buyers find their real estate agent...

13.)
uppose
218218
subjects are treated with a drug that is used to treat pain
and
5555
of them developed nausea. Use a
0.100.10
significance level to test the claim that more than
2020%
of users develop nausea.
Identify the null and alternative hypotheses for this test.
Choose the correct answer below.
A.
Upper H 0H0:
pequals=0.200.20
Upper H 1H1:
pgreater than>0.200.20
B.
Upper H 0H0:
pgreater than>0.200.20
Upper H 1H1:
pequals=0.200.20
C.
Upper H 0H0:
pequals=0.200.20
Upper H 1H1:...

Listed in the data table are amounts of strontium-90 (in
millibecquerels, or mBq, per gram of calcium) in a simple random
sample of baby teeth obtained from residents in two cities. Assume
that the two samples are independent simple random samples selected
from normally distributed populations. Do not assume that the
population standard deviations are equal. Use a
0.050.05
significance level to test the claim that the mean amount of
strontium-90 from city #1 residents is greater than the mean...

A company claims that the mean monthly residential electricity
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 study was done on skull sizes of humans during different time
periods. The results are shown in the table. Assume that the two
samples are independent simple random samples selected from
normally distributed populations, and do not assume that the
population standard deviations are equal. Complete parts (a) and
(b) below.
4000 B.C.
A.D. 150
muμ
mu 1μ1
mu 2μ2
n
3030
3030
x overbarx
132.01132.01
mm
135.49135.49
mm
s
5.035.03
mm
5.275.27
mm
a. Use a
0.010.01
significance...

Settings
Accessibility
+
On-Screen Keyboard
+
About
+
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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 26 minutes ago

asked 28 minutes ago

asked 40 minutes ago

asked 47 minutes ago

asked 52 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 3 hours ago

asked 4 hours ago