Question

A sample of 45 police officers in a suburban department had a
mean service time of 14.2 years with a σ_{n-1} = 5.1
years.

**What is μ _{x} (mean of the sample)?**

**The σ _{x} (standard deviation of the sample)
is?**

**A service time of 15 years would have a z-score value
of?**

**What % of the time would another sample of size 45
police officers have a mean service time of more than 14
years?**

**What % of the time would the average for the service
time for all police officers be less than 12 years?**

**What % of the time would another sample of 45 police
officers have an average service time of between 13 and 15.5
years?**

Answer #1

you collect data on a sample of 10 male current and former
police officers who died in the last year and find that the mean
age at the time of death is 72 with a SS =1521. you know that for
the mean age of death for all males who died in the last year is
75. using alpha of .05, test the hypothesis that male police
officers die, on average at a different age than the populations of
males

A national police organization is lobbying congress for funding
to hire more police officers in cities nationwide. One of its
arguments is that officers, on average, work significantly longer
than full time duty assuming full time is u=40 hours per week. A
sample of n=9 officers from a medium sized city had the following
work hours last week.
43, 45, 48, 41, 45, 50, 50, 53, 48
Do these data support the claim of the national police
group?
PLEASE SHOW...

You have obtained the number of years of education from one
random sample of 38 police officers from City A and the number of
years of education from a second random sample of 40 police
officers from City B. The average years of education for the sample
from City A is 15 years with a standard deviation of 2 years. The
average years of education for the sample from City B is 14 years
with a standard deviation of 2.8...

Last year a fast food restaurant had a mean service time of 155
seconds. This year the manager wants to determine whether the
population mean service time has been reducedA sample of 45
customers is selected and the sample mean service time = 151
seconds . Suppose the population standard deviation sigma = 25
seconds.
(a) What is the population? What is the sample?
(b) Ata = 0.1 level of significance, determine whether there
is evidence that the population mean...

The population has mean μ=29 and standard deviation σ=9.
This distribution is shown with the black dotted line.
We are asked for the mean and standard deviation of the
sampling distribution for a sample of size 34. The Central Limit
Theorem states that the sample mean of a sample of size n is
normally distributed with mean μx¯=μ and σx¯=σn√.
In our case, we have μ=29, σ=9, and n=34. So,
μx¯=29
and
σx¯=934‾‾‾√=1.5
This distribution is shown with the red...

Vancouver Police Response Time Twice That of Other Cities: It
takes Vancouver police twice as long to respond to an emergency
call as most other police forces in North America. Police here take
an average of 11 minutes to respond to priority one calls- crime in
progress and serious incidents- compared to 6 minutes in other
major cities. Assume that the “priority-one” response time for
Vancouver police can be approximated with a Normal model with a
mean of 11 minutes...

In a sample of 45 adults, the mean assembly time for a child's
swing set was 1.76 hours with a standard deviation of 0.79 hours.
The makers of the swing set claim the average assembly time is less
than 2 hours. Test their claim at the 0.01 significance level.
(a) What type of test is this?
This is a right-tailed test.
This is a two-tailed test.
This is a left-tailed test.
(b) What is the test statistic? Round your answer...

A simple random sample of 100 postal employees is used to test
if the average time postal employees have worked for the postal
service has changed from the value of 7.5 years recorded 20 years
ago. The sample mean was x¯ = 7 years with a standard deviation of
s = 2 years. Assume the distribution of the time the employees have
worked for the postal service is approximately Normal. The
hypotheses being tested are H0 : µ = 7.5,...

. An automotive repair shop has determined that the average
service time on an automobile is 2 hours with a standard deviation
of 32 minutes. A random sample of 64 services is selected.
a.
What is the probability that the sample of 64 will have a mean
service time greater than 114 minutes?
b.
Assume the population consists of 400 services. Determine the
standard error of the mean.

The Boston public school district has had difficulty maintaining
on-time bus service for its students. Suppose the district develops
a new bus schedule to help combat chronic lateness on a
particularly woeful route. Historically, the bus service on the
route has been, on average, 10 minutes late. After the schedule
adjustment, the first 36 runs were an average of eight minutes
late. As a result, the Boston public school district claimed that
the schedule adjustment was an improvement—students were not...

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