A random sample of 100 customers was chosen in a market between
3:00 and 4:00 PM on a Thursday afternoon. The frequency
distribution below shows the distribution for checkout time, in
minutes.
Checkout Time
1.0-1.9
2.0-2.9
3.0-3.9
4.0-5.9
6.0-6.9
Frequency
8
22
Missing
Missing
Missing
Cumulative Relative Frequency
Missing
Missing
0.84
0.98
1.00
(a) Complete the frequency table with frequency and cumulative relative frequency. Express the cumulative relative frequency to two decimal places
(b) What percentage of checkout times was less than 3 minutes?
(c) Which of the following checkout time groups does the median of this distribution belong to? 1.0-1.9, 2.0-2.9, 3.0-3.9, 4.0-5.9, 6.0-6.9
In: Statistics and Probability
A random sample of 100 customers was chosen in a market between
3:00 and 4:00 PM on a Thursday afternoon. The frequency
distribution below shows the distribution for checkout time, in
minutes.
Checkout Time
1.0-1.9
2.0-2.9
3.0-3.9
4.0-5.9
6.0-6.9
Frequency
8
22
Missing
Missing
Missing
Cumulative Relative Frequency
Missing
Missing
0.84
0.98
1.00
(a) Complete the frequency table with frequency and cumulative relative frequency. Express the cumulative relative frequency to two decimal places
(b) What percentage of checkout times was less than 3 minutes?
(c) Which of the following checkout time groups does the median of this distribution belong to? 1.0-1.9, 2.0-2.9, 3.0-3.9, 4.0-5.9, 6.0-6.9
In: Statistics and Probability
please work on this assignment
Twenty-five percent of the customers entering a grocery store between 5 P.M. and 7 P.M. use an express checkout. Consider five randomly selected customers, and let x denote the number among the five who use the express checkout.
(a) What is p(3), that is, P(x = 3)?
(Round the answer to five decimal places.)
p(3) =
(b) What is P(x ≤ 1)? (Round the answer to five
decimal places.)
P(x ≤ 1) =
(c) What is P(2 ≤ x)? (Round the answer to five
decimal places. Hint: Make use of your computation in Part
(b).)
P(2 ≤ x) =
(d) What is P(x ≠ 3)? (Round the answer to five
decimal places.)
P(x ≠ 3) =
In: Statistics and Probability
For much of the past century, the conflict between
Israelis and Palestinians has
been a defining feature of the Middle East. Despite billions of
dollars expended to
support, oppose, or seek to resolve it, the conflict has endured
for decades, with
periodic violent eruptions, of which the Israel-Gaza confrontation
in the summer of
2014 is only the most recent.
This executive summary highlights findings from a study by a team
of RAND
researchers that estimates the net costs and benefits over the next
ten years of five
alternative trajectories — a two-state solution, coordinated
unilateral withdrawal,
uncoordinated unilateral withdrawal, nonviolent resistance, and
violent uprising —
compared with the costs and benefits of a continuing impasse that
evolves in
accordance with present trends. The analysis focuses on economic
costs related to
the conflict, including the economic costs of security. In
addition, intangible costs
are briefly examined, and the costs of each scenario to the
international community
have been calculated.
The economy of the Palestinian Territory was a viable and thriving
one before the
occupation in June 1967. It generated significant production and
income that
sustained a growing population of 1 million people and generated a
gross domestic
product (GDP) per capita of about $1,349 in 2004 prices, which was
sufficient for it
to be considered a lower-middle-income economy at that time.
Tragically, it has
become a land on the verge of economic and humanitarian
collapse.
In 2014, the GDP growth rate in the Palestinian Territory turned
negative, for the
first time since 2006. The Gaza Strip is becoming increasingly
unliveable and could
become totally unliveable by 2020. According to the Palestinian
Central Bureau of
Statistics, the unemployment rate in Gaza was 45 per cent in 2014,
with over 63
per cent of Gaza’s young people unemployed, which is the highest
rate in the world.
Female unemployment in the Palestinian Territory was around 40 per
cent and
more than 60 per cent in Gaza. Nearly 40 per cent of Palestinians
live below the
poverty line. Clean water is a rarity, with at least 90 per cent of
Gaza’s water supply
unfit for human consumption. Electricity in Gaza is also sporadic
and unreliable,
available only four to six hours a day, and a properly functioning
sewage treatment
system no longer exists.
Seven key findings were identified (1): A two-state solution
provides by far the best
economic outcomes for both Israelis and Palestinians. Israelis
would gain over two
times more than the Palestinians in absolute terms — $123 billion
versus $50
billion over ten years. But the Palestinians would gain more
proportionately, with
average per capita income increasing by approximately 36 percent
over what it
would have been in 2024, versus 5 percent for the average Israeli.
A return to
violence would have profoundly negative economic consequences for
both Palestinians and Israelis; per capita gross domestic product
would fall by 46
percent in the West Bank and Gaza and by 10 percent in Israel by
2024. In most
scenarios, the value of economic opportunities gained or lost by
both parties is
much larger than expected changes in direct costs. Unilateral
withdrawal by Israel
from the West Bank would impose large economic costs on Israelis
unless the
international community shoulders a substantial portion of the
costs of relocating
settlers. Intangible factors, such as each party's security and
sovereignty
aspirations, are critical considerations in understanding and
resolving the impasse.
Taking advantage of the economic opportunities of a two-state
solution would
require substantial investments from the public and private sectors
of the
international community and from both parties.
9. What was the approximate gross domestic production
(in RS.) in year 2004? (1$ =
73.25 INR)
(a) 877078.50 (b) 988142.5 (c) 978650.25 (d) 967892.5
10.The total population of the Palestinian Territory increased by
20% over a decade
from 2004, out of which 75% of the people lived in Gaza. Also, if
60% of Gaza’s
population is considered to be young then the total number of
persons who are not
young but are still unemployed are: (Consider all the people who
live outside Gaza
as employed)
(a) 65000
(b) 64000
(c) 64800
(d) None of these
In: Accounting
Pinworm: In a random sample of 830 adults in the U.S.A., it was found that 74 of those had a pinworm infestation. You want to find the 90% confidence interval for the proportion of all U.S. adults with pinworm.
(a) What is the point estimate for the proportion of all U.S.
adults with pinworm? Round your answer to 3 decimal
places.
(b) What is the critical value of z (denoted
zα/2) for a 90% confidence interval?
Use the value from the table or, if using software, round
to 2 decimal places.
zα/2 =
(c) What is the margin of error (E) for a 90% confidence
interval? Round your answer to 3 decimal
places.
E =
(d) Construct the 90% confidence interval for the proportion of all
U.S. adults with pinworm. Round your answers to 3 decimal
places.
< p <
(e) Based on your answer to part (d), are you 90% confident that
more than 5% of all U.S. adults have pinworm?
Yes, because 0.05 is above the lower limit of the confidence interval.No, because 0.05 is below the lower limit of the confidence interval. No, because 0.05 is above the lower limit of the confidence interval.Yes, because 0.05 is below the lower limit of the confidence interval.
(f) In Sludge County, the proportion of adults with pinworm is
found to be 0.15. Based on your answer to (d), does Sludge County's
pinworm infestation rate appear to be greater than the national
average?
No, because 0.15 is above the upper limit of the confidence interval.Yes, because 0.15 is below the upper limit of the confidence interval. No, because 0.15 is below the upper limit of the confidence interval.Yes, because 0.15 is above the upper limit of the confidence interval.
In: Statistics and Probability
The quarterly returns for a group of 74 mutual funds with a mean of 1.1% and a standard deviation of 4.9% can be modeled by a Normal model. Based on the model N(0.011,0.049), what are the cutoff values for the a) highest 20% of these funds? b) lowest 40%? c) middle 80%? d) highest 60%?
In: Statistics and Probability
Suppose you are the manager of Speedy Oil Change which claims that it will change the oil in customers’ cars in less than 30 minutes on average. Further suppose that several complaints have been filed from customers stating that their oil change took longer than 30 minutes. Upper-level management at Speedy Oil Change headquarters has requested that you investigate the complaints. To begin your investigation, you randomly audit 36 oil changes performed by Speedy Oil Change and record the time each customer waited for the oil change. The number of minutes to complete each of the 36 oil changes is reported below.
|
42 |
23 |
19 |
11 |
10 |
27 |
|
41 |
27 |
22 |
26 |
24 |
32 |
|
27 |
25 |
25 |
35 |
31 |
22 |
|
23 |
31 |
17 |
37 |
33 |
25 |
|
28 |
24 |
28 |
21 |
40 |
16 |
|
33 |
30 |
14 |
23 |
22 |
10 |
In the questions below, you will test if the mean is significantly less than 30 minutes at a significance level of 0.05. (Please be sure to use correct notation and symbols in all answers.)
1. List the requirements that should be met for this hypothesis test.
2. Write the null and alternative hypothesis.
3. Calculate the test statistic and the P-value (to four decimal places). Label each accordingly.
[Indicate which calculator program you use.]
4. Would you reject the null hypothesis? Justify your answer using a complete sentence and proper
grammar.
5. Is the company fulfilling its promise to “change the oil in customers’ cars in less than 30 minutes on
average?”
_________________________________________________________________________________
Unfortunately, Speedy Oil Change continues to get customer complaints. As the manager, you feel that perhaps more analysis is needed. You know that you are likely to be asked “how much less than 30 minutes is our mean oil change?”
6. Construct a 90% confidence interval (to the nearest tenth). [Indicate which calculator program
you use.]
7. State the point estimate and calculate the margin of error (to the nearest tenth).
8. Explain to your superiors how to interpret this interval.
9. Using the confidence interval you created, calculate the interval of values that answers the
question “how much less than 30 minutes is our mean oil change?”
In: Statistics and Probability
To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained.
| Machine 1 |
Machine 2 |
Machine 3 |
Machine 4 |
|---|---|---|---|
| 6.7 | 8.8 | 10.8 | 9.6 |
| 7.9 | 7.6 | 10.2 | 12.6 |
| 5.6 | 9.5 | 9.6 | 11.9 |
| 7.5 | 10.2 | 10.1 | 10.5 |
| 8.6 | 9.4 | 8.9 | 11.2 |
| 7.5 | 10.3 | 8.6 | 11.4 |
Find the value of the test statistic. (Round your answer to two decimal places.)___
Use Fisher's LSD procedure to test for the equality of the means for machines 2 and 4. Use a 0.05 level of significance.
Find the value of LSD. (Round your answer to two decimal places.)
LSD = ___
Find the pairwise absolute difference between sample means for machines 2 and 4
x2 − x4 =___
The International League of Triple-A minor league baseball consists of 14 teams organized into three divisions: North, South, and West. Suppose the following data show the average attendance for the 14 teams in the International League. Also shown are the teams' records; W denotes the number of games won, L denotes the number of games lost, and PCT is the proportion of games played that were won.
| Team Name | Division | W | L | PCT | Attendance |
|---|---|---|---|---|---|
| Buffalo Bisons | North | 66 | 77 | 0.462 | 8,818 |
| Lehigh Valley IronPigs | North | 55 | 89 | 0.382 | 8,479 |
| Pawtucket Red Sox | North | 85 | 58 | 0.594 | 9,092 |
| Rochester Red Wings | North | 74 | 70 | 0.514 | 6,911 |
| Scranton-Wilkes Barre Yankees | North | 88 | 56 | 0.611 | 7,149 |
| Syracuse Chiefs | North | 69 | 73 | 0.486 | 5,764 |
| Charlotte Knights | South | 63 | 78 | 0.447 | 4,521 |
| Durham Bulls | South | 74 | 70 | 0.514 | 6,999 |
| Norfolk Tides | South | 64 | 78 | 0.451 | 6,287 |
| Richmond Braves | South | 63 | 78 | 0.447 | 4,458 |
| Columbus Clippers | West | 69 | 73 | 0.486 | 7,799 |
| Indianapolis Indians | West | 68 | 76 | 0.472 | 8,537 |
| Louisville Bats | West | 88 | 56 | 0.611 | 9,152 |
| Toledo Mud Hens | West | 75 | 69 | 0.521 | 8,238 |
Find the value of the test statistic. (Round your answer to two decimal places.)___
Find the p-value. (Round your answer to three decimal places.)
p-value =___
Use Fisher's LSD procedure to determine where the differences occur. Use α = 0.05.
Find the value of LSD for each pair of divisions. (Round your answers to two decimal places.)
North and SouthLSD=
North and WestLSD=
South and WestLSD=
Find the pairwise absolute difference between sample attendance means for each pair of divisions. (Round your answers to the nearest integer.)
xN − xS=
xN − xW=
xS − xW=
In: Statistics and Probability
Please describe the financial requirements regarding stock and other finances of the acquisition of YouTube by Google in 2006.
Please answer with a 1000 word typed response. Please cite sources.
In: Finance
A queueing system serves two types of customers. Type 1 customers arrive according to a Poisson process with a mean rate of 5 per hour. Type 2 customers arrive according to a Poisson process at a mean rate of 3 per hour. The system has two servers, both of which serve both types of customer. All service times have exponential distribution with a mean of 10 minutes. Service is provided on a first-come-first-served basis.
a. What is the probability distribution of the time between consecutive arrivals of customers of any type, what is its mean?
b. Assume that when a Type 2 customer arrives, he finds two Type 1 customers being served and no other customers in the system. What is the probability distribution of this Type 2 customer’s waiting time in the queue and its mean?
In: Statistics and Probability