1) A sample of 47 observations is selected from a normal population. The sample mean is 31, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.05 significance level.
H0 : μ ≤ 30
H1 : μ > 30
a.
Is this a one- or two-tailed test?
"One-tailed"-the alternate hypothesis is greater than direction.
"Two-tailed"-the alternate hypothesis is different from direction.
b.
What is the decision rule? (Round your answer to 3 decimal places.)
H0, when z >
c.
What is the value of the test statistic? (Round your answer to 2 decimal places.)
Value of the test statistic
d.
What is your decision regarding H0?
Reject
Do not reject
There is evidence to conclude that the population mean is greater than 30.
e.
What is the p-value? (Round your answer to 4 decimal places.)
p-value
2) At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, “You can average $86 a day in tips.” Assume the population of daily tips is normally distributed with a standard deviation of $3.81. Over the first 48 days she was employed at the restaurant, the mean daily amount of her tips was $87.07. At the 0.02 significance level, can Ms. Brigden conclude that her daily tips average more than $86?
a.
State the null hypothesis and the alternate hypothesis.
H0: μ = 86 ; H1: μ ≠ 86
H0: μ ≥ 86 ; H1: μ < 86
H0: μ ≤ 86 ; H1: μ > 86
H0: μ >86 ; H1: μ = 86
b.
State the decision rule.
Reject H0 if z > 2.05
Reject H1 if z < 2.05
Reject H0 if z < 2.05
Reject H1 if z > 2.05
c.
Compute the value of the test statistic. (Round your answer to 2 decimal places.)
Value of the test statistic
d.
What is your decision regarding H0?
Reject H0
Do not reject H0
e.
What is the p-value? (Round your answer to 4 decimal places.)
p-value
3) The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of 37 sales calls per week on professors. Several reps say that this estimate is too low. To investigate, a random sample of 41 sales representatives reveals that the mean number of calls made last week was 40. The standard deviation of the sample is 5.6 calls. Using the 0.025 significance level, can we conclude that the mean number of calls per salesperson per week is more than 37?
H0 : μ ≤ 37
H1 : μ > 37
1.
Compute the value of the test statistic. (Round your answer to 3 decimal places.)
Value of the test statistic
2.
What is your decision regarding H0?
H0. The mean number of calls is than 37 per week.
4) A United Nations report shows the mean family income for Mexican migrants to the United States is $27,540 per year. A FLOC (Farm Labor Organizing Committee) evaluation of 19 Mexican family units reveals a mean to be $28,956 with a sample standard deviation of $10,250. Does this information disagree with the United Nations report? Apply the 0.01 significance level.
a.
St ...
1) A sample of 47 observations is selected from a normal popul.docx
1. 1) A sample of 47 observations is selected from a normal
population. The sample mean is 31, and the population standard
deviation is 4. Conduct the following test of hypothesis using
the 0.05 significance level.
H0 : μ ≤ 30
H1 : μ > 30
a.
Is this a one- or two-tailed test?
"One-tailed"-the alternate hypothesis is greater than direction.
"Two-tailed"-the alternate hypothesis is different from
direction.
b.
What is the decision rule? (Round your answer to 3 decimal
places.)
H0, when z >
c.
What is the value of the test statistic? (Round your answer to 2
decimal places.)
Value of the test statistic
2. d.
What is your decision regarding H0?
Reject
Do not reject
There is evidence to conclude that the population mean is
greater than 30.
e.
What is the p-value? (Round your answer to 4 decimal places.)
p-value
2) At the time she was hired as a server at the Grumney Family
Restaurant, Beth Brigden was told, “You can average $86 a day
in tips.” Assume the population of daily tips is normally
distributed with a standard deviation of $3.81. Over the first 48
days she was employed at the restaurant, the mean daily amount
of her tips was $87.07. At the 0.02 significance level, can Ms.
Brigden conclude that her daily tips average more than $86?
a.
State the null hypothesis and the alternate hypothesis.
3. H0: μ = 86 ; H1: μ ≠ 86
H0: μ ≥ 86 ; H1: μ < 86
H0: μ ≤ 86 ; H1: μ > 86
H0: μ >86 ; H1: μ = 86
b.
State the decision rule.
Reject H0 if z > 2.05
Reject H1 if z < 2.05
Reject H0 if z < 2.05
Reject H1 if z > 2.05
c.
Compute the value of the test statistic. (Round your answer to 2
decimal places.)
Value of the test statistic
d.
What is your decision regarding H0?
4. Reject H0
Do not reject H0
e.
What is the p-value? (Round your answer to 4 decimal places.)
p-value
3) The Rocky Mountain district sales manager of Rath
Publishing Inc., a college textbook publishing company, claims
that the sales representatives make an average of 37 sales calls
per week on professors. Several reps say that this estimate is
too low. To investigate, a random sample of 41 sales
representatives reveals that the mean number of calls made last
week was 40. The standard deviation of the sample is 5.6 calls.
Using the 0.025 significance level, can we conclude that the
mean number of calls per salesperson per week is more than 37?
H0 : μ ≤ 37
H1 : μ > 37
1.
Compute the value of the test statistic. (Round your answer to 3
decimal places.)
Value of the test statistic
2.
What is your decision regarding H0?
5. H0. The mean number of calls is than 37 per week.
4) A United Nations report shows the mean family income for
Mexican migrants to the United States is $27,540 per year. A
FLOC (Farm Labor Organizing Committee) evaluation of 19
Mexican family units reveals a mean to be $28,956 with a
sample standard deviation of $10,250. Does this information
disagree with the United Nations report? Apply the 0.01
significance level.
a.
State the null hypothesis and the alternate hypothesis.
H0: μ =
H1: μ ≠
b.
State the decision rule for .01 significance level. (Negative
amounts should be indicated by a minus sign.Round your
answers to 3 decimal places.)
Reject H0 if t is not between and
c.
Compute the value of the test statistic. (Round your answer to 2
decimal places.)
Value of the test statistic
6. d.
Does this information disagree with the United Nations report?
Apply the 0.01 significance level.
. This data the report.
5) The following information is available.
H0 : μ ≥ 220
H1 : 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?
Two-tailed test
One-tailed test
b.
What is the decision rule? (Negative amount should be indicated
by a minus sign. Round your answer to 2 decimal places.)
H0 when z <
c.
7. What is the value of the test statistic? (Negative amount should
be indicated by a minus sign. Round your answer to 3 decimal
places.)
Value of the test statistic
d.
What is your decision regarding H0?
Do not reject
Reject
e.
What is the p-value? (Round your answer to 4 decimal places.)
p-value
6) Given the following hypotheses:
H0 : μ ≤ 10
H1 : μ > 10
A random sample of 10 observations is selected from a normal
population. The sample mean was 12 and the sample standard
deviation 3. Using the .05 significance level:
a.
State the decision rule. (Round your answer to 3 decimal
8. places.)
Reject H0 if t >
b.
Compute the value of the test statistic. (Round your answer to 3
decimal places.)
Value of the test statistic
c.
What is your decision regarding the null hypothesis?
H0. There is evidence to conclude that the population mean is
greater than 10.
7) Given the following hypotheses:
H0 : μ = 400
H1 : 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 H0 when the test statistic is the interval (, ).
9. b.
Compute the value of the test statistic. (Round your answer to 3
decimal places.)
Value of the test statistic
c.
What is your decision regarding the null hypothesis?
Do not reject
Reject
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Departmental Org Chart Example
The Sales Department of MWTCo. has four clear and concise
strategic goals:
Expand the organization’s footprint into the SE region United
States by identifying a minimum 25 new clients by the end of
2013.
Create a customer loyalty program to promote existing
11. customer loyalty and improve brand representation by Q2 2013.
Identify opportunities to expand service offering to capitalize
on clean energy and green construction projects in existing
market place.
Increase all markets sales revenue by 25% by Q3 2013.
Based on the information below focusing on departmental
leadership and the organizational chart provided, what will the
Sales
Department under the leadership of the Director of Sales need
to do to accomplish these goals? Remember the goal is not to
add any staff or remove any from the department.
Corey Cayden More than 15-years experience overseeing the
direction of sales teams. Success with
the company in penetrating new markets and identifying
innovative ways to target
new clients within existing markets. Excellent leader and team
motivator. Effective
in developing programs and identifying solutions to potential
risks or challenges.
Serves on county “clean energy” committee and is currently
working on his Ph.D. in
Environmental Science focusing on various alternative energy
12. sources.
Jessica Frazier Excellent at establishing and maintaining
relationships. Has lived in 38 states and is
well versed in various regional needs, opportunities and
challenges. Excellent team
motivator and has an “eye” for up and coming opportunities.
No existing knowledge
of clean energy initiatives.
Juan DelRio Joined MWTCo 1-year ago and has really turned
the Customer Service Department
around by implementing metrics to measure success as well as
areas of
improvement. Ensures all CSRs are knowledgeable and well
versed on all areas of the
company. Effectively works closely with other departmental
managers to ensure
accurate information is being provided when a customer calls
in. Effective at up and
down communication—will feed new ideas that come from his
team up to Director
with many of the ideas being incorporated. Minimal knowledge
of the trucking
industry in general, but has more than 10-years experience
managing call centers
13. and supervising CSRs. Strongly understands customer service
principles and is
effective in ensuring a positive and pleasant customer
experience with every call.
Blake Evans-Miller Excellent at investigating new industry
trends in an effort to potential make
recommendation for new business lines. Incredibly innovative
and thinks “out of the
box” innately. High risk taker with exceptional interpersonal
abilities. Extensive
trucking industry experience, but minimal exposure to clean
energy markets.