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Dallas Colleges *
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Course
2305
Subject
Economics
Date
Apr 3, 2024
Type
Pages
5
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A
potato
chip
producer
and
its
main
supplier
agree
that
each
shipment
of
potatoes
must
meet
certain
quality standards
.
If
the
producer determines
that
more
than
8
%
of
the
potatoes
in
the
shipment
have
"
blemishes
,
"
the
truck
will
be
sent
away
to
get
another
load
of
potatoes
from
the
supplier
.
Otherwise
,
the
entire
truckload
will
be
used
to
make
potato
chips
.
To
make
the
decision
,
a
supervisor
will inspect
a
random
sample
of
potatoes
from
the
shipment
.
The
producer
will
then
perform
a
significance test
at
the
α
=
0.05
level
with
a
power
of
0.62
.
Describe
a
Type
I
and
a
Type
II
error
in
this
setting
.
Type
I
Error
-
rejecting
a
shipment
of
potatoes that
really
was
okay
Type
II
Error
-
keeping
a
shipment
of
potatoes
that
really
had
too
many
blemishes
.
Which type of error is more serious in this case
?
Explain
.
Type
I
would
waste
time
and
possibly
slow
production
,
and
Type
II
would
mean
that
customers
get potentially
bad
chips
.
I
would
say
Type
II
is
more
serious
,
as
it
impacts
customers
What
is
the
probability
of
a
Type
I
and
Type
II
error in
this
situation
?
Type
1
:
Type.05
0.38
Give
two ways
you
could
increase
the
power
of
this
test
.
You
could
take
a
larger
sample
size
or
you
could
make
the
significance
level
larger
(
.10
instead
of
.05
)
.
According
to
the
National
Campaign
to
Prevent
Teen
and
Unplanned
Pregnancy
,
20
%
of
teens
aged
13
to
19
say
that
they have
electronically
sent
or
posted
sexually
suggestive
images
of
themselves
.
The
counselor
at
a
large
high
school
worries
that
the
actual
figure
might
be
higher
at
her
school
.
To
find
out
,
she
administers
an
anonymous
survey
to
a
random
sample
of
250
of
the
school's
2800 students
.
All
250
respond
,
and
63
admit
to
sending
or
posting
sexual
images
.
Carry
out
a
significance
test
at
the
α
=
0.05
significance
level
.
P
H
·
p
=
the
true
proportion
of
students
at
this
school
who
have
sent
or
posted
sexual
images
HO
:
p
=
.20
Ha
:
p
>.20
·
A
She
took
a
random
sample
250
students
is less
than
10
%
of
the
school
population
of
2800
.20
(
250
)
=
50
and
.80
(
250
)
=
200
are
both
greater
than
10
N-
We
will
do
a
one
sample
z
test
TShowswork
here
!
O
-
Sbow
work
here
!
.252.20
2
=
=
2.055
.20
(
1-.20
)
250
normalcdf
lower
:
2.055
upper
:
10000
mean
:
0
std
dev
:
1
M
-
reject
the
null
S
-
Since
the
p
value
of
.02
is
less
than
a
=
.05
we
reject
the
null
hypothesis
.
There
is
convincing
evidence
that
more
than
20
%
of
the
students
at
this
school
have
sent
or
posted
sexual
images
Based
on
your
conclusion
,
what
type
of
error
(
Type
I
or
Type II
)
could
you
have
made
?
Type
I
Explain
what
this
type
of
error
would
mean
in
context
.
We
think
more
people
have
sent
or
posted
sexual
images
than
the
national
average
at
this
school
,
but
really
they
have
not
.
A
company
has
developed
a
new
deluxe
AAA
battery
that
is
supposed
to
last
longer
than
its
regular
AAA
battery
.
However
,
these
new
batteries
are
more
expensive
to
produce
,
so
the
company
would
like
to
be
convinced
that
they
really
do
last
longer
.
Based
on
years
of
experience
,
the
company
knows
that
its
regular
AAA
batteries
last
for
30
hours
of
continuous
use
,
on
average
.
The
company
selects
an
SRS
of
15
new
batteries
and uses
them
continuously
until they
are
completely
drained
.
The
sample
mean
lifetime
is
33.9
hours
and
the
sample
standard
deviation
is
9.8
hours
,
and
a
boxplot
of
the data
is
shown
.
P
μ
the
true
mean
lifetime
of
the
new
AAA
batteries
in
hours
T
0
10
20
30
40
50
60
(
b
)
Battery
life
(
hours
)
H
·
HO
:
μ
=
30
Ha
:
μ
>
30
A
They
took
a
random
sample
15
batteries
is
less
than
10
%
of
all
the
new
batteries
produced
The
graph
shows
no
skew or
outliers
N-
we
will
do
a
one
sample t
test
T
-
Show
work
here
!
O
-
Showзwork
here
!
t
=
33.9-30
9.8
√15
tcdf
lower
:
1.54
upper
:
10000
df
:
14
M
-
Fail
to
reject
S
Since
the
p
value
of
.073
is
greater
than
a
=
.05
we
fail
to
reject
the
null
hypothesis
.
There
is
not
significant
evidence
that
the
new
batteries last
longer
than
the
old
ones
.
Based
on
your
conclusion
,
what type
of
error
(
Type
I
or
Type
II
) could
you
have
made
?
Type
II
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M
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Note:-
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You will get up vote for sure.
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Related Questions
- The average expenditure on Valentine's Day was expected to be $100.89 (USA Today, February 13, 2006). Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 44 male consumers was $137.38, and the average expenditure in a sample survey of 35 female consumers was $65.11. Based on past surveys, the standard deviation for male consumers is assumed to be $35, and the standard deviation for female consumers is assumed to be $12. The z value is 2.576. Round your answers to decimal places. b. At 99% confidence, what is the margin of error? c. Develop a 99% confidence interval for the difference between the two population means.arrow_forwardYou can adjust the values in the accompanying table for fields with white backgrounds. Once you have selected a field, you can either enter a new value or adjust the existing value by selecting the arrows (+ to increase and to decrease). You can exit the entry field by hitting Enter (or Return) on your keyboard or by selecting a place elsewhere on the problem. To reset a field to its starting value, select the circular refresh arrow that appears next to the selected field. Experiment with entering different values in the editable fields. Observe what changes take place on the graph itself and also in the uneditable fields in the table. Don't worry about understanding the economics behind the question, just make sure you understand how to manipulate the values on the graph. PRICE (Dollars per pair) 50 45 40 35 30 25 20 15 10 5 0 0 Supply 15 30 45 60 75 90 105 120 135 150 QUANTITY (Thousands of pairs of loafers) Entering 45.00 into the Price field Entering 40.00 into the Price of…arrow_forwardEach of a sample of 176 residents selected from a small town is asked how much money he or she spent last week on state lottery tickets. 130 of the residents responded with $0. The mean expenditure for the remaining residents was $21. The largest expenditure was $210. Step 5 of 5: What proportion of the sample did not purchase any lottery tickets? Express your answer as a simplified fraction or as a value rounded to one decimal place.arrow_forward
- A merchant who sells newspapers and magazines at the corner kiosk heard you manage the Times’ inventory and asks for your advice. She has a small, variable number of customers who daily purchase the Chicago Sun Times. In order to get the newspapers in time, she has to place an order for the next day’s newspapers before noon. She pays $0.50 for each newspaper and sells them for $1.50 each. She has kept detailed records of her past sales of the Chicago Sun Times and estimates that 10% of the time she sells 10 newspapers, 40% of the time she sells 11, 30% of the time she sells 12, and 20% of the time she sells 13. (a) What is the merchant’s marginal profit and marginal loss? (b) Determine how many Chicago Sun Times newspapers she should buy every day to maximize expected profits. (c) Calculate the merchant’s expected profits for the optimal order quantity. (d) The merchant has always purchased 13 newspapers, thinking that the best way to maximize profits was to always meet the demand.…arrow_forwardA large consumer goods company ran a television advertisement for one of its soap products. On the basis of a survey that was conducted, probabilities were assigned to the following events. B = individual purchased the product S = individual recalls seeing the advertisement BnS = individual purchased the product and recalls seeing the advertisement The probabilities assigned were P(B) = 0.20, P(S) = 0.40, and P(BS) = 0.12. a. What is the probability of an individual's purchasing the product given that the individual recalls seeing the advertisement (to 1 decimal)? Does seeing the advertisement increase the probability that the individual will purchase the product? - Select your answer - As a decision maker, would you recommend continuing the advertisement (assuming that the cost is reasonable)? - Select your answer - + b. Assume that individuals who do not purchase the company's soap product buy from its competitors. What would be your estimate of the company's market share (to the…arrow_forwardA few minutes ago, Joe Doe learned that his company was having a bad year and thus merit salary increases will be smaller than expected. His division’s budget has been set and so he knows that he will receive a salary increase of $400 over his present salary. Joe Doe has also been offered a transfer to another division in the company. He is unsure of the salary situation in the other division. However, his best information leads him to conclude that if he took the new job, there is a 60% chance that he would receive a salary increase of $600 over his present salary, and a 40% chance that he would receive only a $150 increase over his present salary. To summarize, Joe Doe can either stick with his current job and get a salary increase of $400, or take a transfer to a new job and get a salary increase of either $600 with a 60% probability, or $150 with a 40% probability. Amount ($X) Value (v($X)) $0 -5 $150 -2.5 $200 -2 $300 0 $350 0.5 $400 1 $600 1.85…arrow_forward
- Suppose that you own a used car dealership. You want to sell a 2005 Honda Civic LX. You know that this car is of high quality, and it cost you $5000 to acquire it (so you will not sell it at a price below $5000). However, consumers cannot see the quality of the car at the time of purchase. They believe that 25% of the cars in the used car market are high-quality cars and 75% are low-quality cars or “lemons.” A typical lemon costs $2000 to acquire (so you will not sell it at a price below $2000). Consumers are eager to buy and are willing to pay up to $3000 for a lemon and $6000 for a high-quality car. From now on, suppose that only you (the seller) know the quality of the cars. (Buyers do not know the quality, but know the proportion of high- and low-quality cars in the market). Suppose that you could offer bumper-to-bumper warranties. You know that offering a warranty on a high-quality car costs, on average, $450 per year of warranty offered, while a warranty on a lemon is very…arrow_forwardSuppose that you own a used car dealership. You want to sell a 2005 Honda Civic LX. You know that this car is of high quality, and it cost you $5000 to acquire it (so you will not sell it at a price below $5000). However, consumers cannot see the quality of the car at the time of purchase. They believe that 25% of the cars in the used car market are high-quality cars and 75% are low-quality cars or “lemons.” A typical lemon costs $2000 to acquire (so you will not sell it at a price below $2000). Consumers are eager to buy and are willing to pay up to $3000 for a lemon and $6000 for a high-quality car. (a) Suppose for a moment that buyers could observe the quality of your car at the time of purchase. At what price would you be able to sell the 2005 Honda Civic Accord LX? If you had a lemon instead, what price would it sell at? (Suppose as a dealer you can induce buyers to pay at their highest willingness to pay. Keep this assumption in all of the following questions.) From now on,…arrow_forwardZip Code, Age and Number of Dogs by Person in Petland Person Zip Code Number Age of Dogs Ann 402 20 0 Bill 805 35 55 2 Carmelo 805 40 5 Dan 402 50 1 Eric 402 20 20 Ferdinand 402 35 55 3 3 Gert 402 20 2 Homer 402 20 0 In-choi 805 100 3 Jimmy 805 60 1arrow_forward
- V2arrow_forwardA political pollster wants to ensure that their poll on attitudes toward separation of church and state gets responses from all major religious groups. What kind of sampling method should be used?arrow_forwardThe Struthers Wells Corporation employs more than 10,000 white-collar workers in its sales offices and manufacturing facilities in the United States, Europe, and Asia. A sample of 300 U.S. workers revealed 120 would accept a transfer to a location outside the United States. On the basis of these findings, write a brief memo to Ms. Wanda Carter, Vice President of Human Services, regarding all white-collar workers in the firm and their willingness to relocate. As a result of these sample findings, we can conclude that what percentage of the white-collar workers would transfer outside the U.S.?arrow_forward
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