A sample of 37 observations is selected from a normal population. The sample mean is 29, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level.
H
0
: μ ≤ 26
H
1
: μ > 26
a.
Is this a one- or two-tailed test?
H
0
,
when z > evidence to conclude that the population mean is greater than 26.
e.
What is the
p
-value?
(Round your answer to 4 decimal places.)
At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, “You can average $82 a day in tips.” Assume the population of daily tips is normally distributed with a standard deviation of $3.26. Over the first 44 days she was employed at the restaurant, the mean daily amount of her tips was $84.61. At the 0.02 significance level, can Ms. Brigden conclude that her daily tips average more than $82?
a.
State the null hypothesis and the alternate hypothesis.
H
0
. The mean number of calls is than 39 per week.
United Nations report shows the mean family income for Mexican migrants to the United States is $28,540 per year. A FLOC (Farm Labor Organizing Committee) evaluation of 28 Mexican family units reveals a mean to be $34,120 with a sample standard deviation of $10,050. Does this information disagree with the United Nations report? Apply the 0.01 significance level.
a.
State the null hypothesis and the alternate hypothesis.
H
0
:
μ
=
. This data
the report.
The following information is available.
H
0
: μ ≥ 220
H
1
: μ < 220
A sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the .025 significance level.
a.
Is this a one- or two-tailed test?
H
0
when
z
<
H
0
. There is evidence to conclude that the population mean is greater than 10
Given the following hypotheses:
H
0
: μ = 400
H
1
: μ ≠ 400
A random sample of 12 observations is selected from a normal population. The sample mean was 407 and the sample standard deviation 6. Using the .01 significance level:
a.
State the decision rule.
(Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.)
Reject
H
0
when the test statistic is the interval ([removed], [removed]).
b.
Compute the value of the test statistic.
(Round your answer to 3 decimal places.)
Value of the test statistic
[removed]
c.
What is your decision regarding the null hypothesis?
[removed]
Reject
[removed]
Do not reject
p
-value
[removed]
p
-value
[removed]
p
-value
[removed]
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A sample of 37 observations is selected from a normal population. Th.docx
1. A sample of 37 observations is selected from a normal
population. The sample mean is 29, and the population standard
deviation is 5. Conduct the following test of hypothesis using
the 0.05 significance level.
H
0
: μ ≤ 26
H
1
: μ > 26
a.
Is this a one- or two-tailed test?
H
0
,
when z > evidence to conclude that the population mean is
greater than 26.
e.
What is the
p
-value?
(Round your answer to 4 decimal places.)
At the time she was hired as a server at the Grumney Family
Restaurant, Beth Brigden was told, “You can average $82 a day
in tips.” Assume the population of daily tips is normally
distributed with a standard deviation of $3.26. Over the first 44
2. days she was employed at the restaurant, the mean daily amount
of her tips was $84.61. At the 0.02 significance level, can Ms.
Brigden conclude that her daily tips average more than $82?
a.
State the null hypothesis and the alternate hypothesis.
H
0
. The mean number of calls is than 39 per week.
United Nations report shows the mean family income for
Mexican migrants to the United States is $28,540 per year. A
FLOC (Farm Labor Organizing Committee) evaluation of 28
Mexican family units reveals a mean to be $34,120 with a
sample standard deviation of $10,050. Does this information
disagree with the United Nations report? Apply the 0.01
significance level.
a.
State the null hypothesis and the alternate hypothesis.
H
0
:
μ
=
. This data
the report.
The following information is available.
H
3. 0
: μ ≥ 220
H
1
: μ < 220
A sample of 64 observations is selected from a normal
population. The sample mean is 215, and the population
standard deviation is 15. Conduct the following test of
hypothesis using the .025 significance level.
a.
Is this a one- or two-tailed test?
H
0
when
z
<
H
0
. There is evidence to conclude that the population mean is
greater than 10
Given the following hypotheses:
H
0
: μ = 400
H
4. 1
: μ ≠ 400
A random sample of 12 observations is selected from a normal
population. The sample mean was 407 and the sample standard
deviation 6. Using the .01 significance level:
a.
State the decision rule.
(Negative amount should be indicated by a minus sign. Round
your answers to 3 decimal places.)
Reject
H
0
when the test statistic is the interval ([removed], [removed]).
b.
Compute the value of the test statistic.
(Round your answer to 3 decimal places.)
Value of the test statistic
[removed]
c.
What is your decision regarding the null hypothesis?
[removed]
Reject
[removed]
Do not reject
p
-value
6. (
1
)
archmage
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