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The mean cost of domestic airfares in the United States rose to an all-time high of $400 per ticket. Airfares were based on the total ticket value, which consisted of the price charged by the airlines plus any additional taxes and fees. Assume domestic airfares are normally distributed with a standard deviation of $105. Use Table 1 in Appendix B. a. What is the probability that a domestic airfare is $545 or more (to 4 decimals)? b. What is the probability that a domestic airfare is $240 or less (to 4 decimals)? c. What if the probability that a domestic airfare is between $310 and $470 (to 4 decimals)? d. What is the cost for the 3% highest domestic airfares? (rounded to nearest dollar) |
In: Statistics and Probability
The mean cost of domestic airfares in the United States rose to an all-time high of $375 per ticket. Airfares were based on the total ticket value, which consisted of the price charged by the airlines plus any additional taxes and fees. Assume domestic airfares are normally distributed with a standard deviation of $105. Use Table 1 in Appendix B.
a. What is the probability that a domestic airfare is $530 or more (to 4 decimals)?
b. What is the probability that a domestic airfare is $250 or less (to 4 decimals)?
c. What if the probability that a domestic airfare is between $320 and $490 (to 4 decimals)?
d. What is the cost for the 2% highest domestic airfares? (rounded to nearest dollar)
In: Statistics and Probability
According to the US Bureau of Labor Statistics, in the United States, the employment rate measures the number of people who have a job as a percentage of the working age population. In January 2020 the rate was 61.2%.
A) Recognizing that this is a binomial situation, give the meaning S and F in this context. That is, define what you will classify as a "success" S and what you will classify as a "failure" F as it refers to being employed.
B) Next, give the values of n, p, and q.
C) Construct the complete binomial probability distribution for this situation in a table.
D) Using your table, find the probability that exactly six working aged persons are employed.
E) Find the probability that at least 5 working aged persons are employed.
F) Find the probability that fewer than 6 working aged persons are employed.
G) Find the mean and standard deviation of this binomial probability distribution.
H) By writing a sentence, interpret the meaning of the mean value found in (G) as tied to the context of the percentage of working aged persons in the US.
I) Is it unusual to have 8 working aged persons in a group of 10 who are employed? Briefly explain your answer.
In: Statistics and Probability
In: Operations Management
According to the US Bureau of Labor Statistics, in the United States, the employment rate measures the number of people who have a job as a percentage of the working age population. In January 2020 the rate was 61.2%.
A) Recognizing that this is a binomial situation, give the meaning S and F in this context. That is, define what you will classify as a "success" S and what you will classify as a "failure" F as it refers to being employed.
B) Next, give the values of n, p, and q.
C) Construct the complete binomial probability distribution for this situation in a table.
D) Using your table, find the probability that exactly six working aged persons are employed.
E) Find the probability that at least 5 working aged persons are employed.
F) Find the probability that fewer than 6 working aged persons are employed.
G) Find the mean and standard deviation of this binomial probability distribution.
H) By writing a sentence, interpret the meaning of the mean value found in (G) as tied to the context of the percentage of working aged persons in the US.
I) Is it unusual to have 8 working aged persons in a group of 10 who are employed? Briefly explain your answer.
In: Statistics and Probability
| Data Set for Project 1 | |
| Maximum Temperatures by State | |
| in the United States | |
| for the month of August, 2013 | |
| State Name | Max Temps in August 2013 |
| AL | 97 |
| AK | 97 |
| AZ | 45 |
| AR | 100 |
| CA | 49 |
| CO | 109 |
| CT | 93 |
| DE | 91 |
| FL | 102 |
| GA | 99 |
| HI | 90 |
| ID | 97 |
| IL | 97 |
| IN | 93 |
| IA | 100 |
| KS | 111 |
| KY | 93 |
| LA | 97 |
| ME | 93 |
| MD | 97 |
| MA | 97 |
| MI | 91 |
| MN | 109 |
| MS | 97 |
| MO | 97 |
| MT | 90 |
| NE | 108 |
| NV | 111 |
| NH | 93 |
| NJ | 108 |
| NM | 106 |
| NY | 93 |
| NC | 100 |
| ND | 88 |
| OH | 91 |
| OK | 108 |
| OR | 97 |
| PA | 93 |
| RI | 104 |
| SC | 97 |
| SD | 93 |
| TN | 99 |
| TX | 104 |
| UT | 106 |
| VT | 91 |
| VA | 102 |
| WA | 93 |
| WV | 91 |
| WI | 90 |
| WY | 99 |
If you cannot get the histogram or bar graph features to work, you may draw a histogram by hand and then scan or take a photo (your phone can probably do this) of your drawing and email it to your instructor.
B. Explain how this affects your confidence in the validity of this data set.
Project 1 is due by 11:59 p.m. (ET) on Monday of Module/Week 1.
please help!!!!!!!!
In: Statistics and Probability
The Interstate Conference of Employment Security Agencies says the average workweek in the United States is down to only 35 hours, largely because of a rise in part-time workers. Suppose this figure was obtained from a random sample of 20 workers and that the standard deviation of the sample was 4.3 hours. Assume hours worked per week are normally distributed in the population. Use this sample information to develop a 90% confidence interval for the population variance of the number of hours worked per week for a worker. Interpret your interval.
In: Statistics and Probability
In: Finance
Use the data and Excel to answer this question. It contains the United States Census Bureau’s estimates for World Population from 1950 to 2014. You will find a column of dates and a column of data on the World Population for these years. Generate the time variable t. Then run a regression with the Population data as a dependent variable and time as the dependent variable. Have Excel report the residuals.
(a) Based on the ANOVA table and t-statistics, does the regression appear significant?
(b) Calculate the Durbin-Watson Test statistic. Is there a serial correlation problem with the data? Explain.
(d) What affect might your answer in part (b) have on your conclusions in part (a)?
| Year | Population |
| 1950 | 2,557,628,654 |
| 1951 | 2,594,939,877 |
| 1952 | 2,636,772,306 |
| 1953 | 2,682,053,389 |
| 1954 | 2,730,228,104 |
| 1955 | 2,782,098,943 |
| 1956 | 2,835,299,673 |
| 1957 | 2,891,349,717 |
| 1958 | 2,948,137,248 |
| 1959 | 3,000,716,593 |
| 1960 | 3,043,001,508 |
| 1961 | 3,083,966,929 |
| 1962 | 3,140,093,217 |
| 1963 | 3,209,827,882 |
| 1964 | 3,281,201,306 |
| 1965 | 3,350,425,793 |
| 1966 | 3,420,677,923 |
| 1967 | 3,490,333,715 |
| 1968 | 3,562,313,822 |
| 1969 | 3,637,159,050 |
| 1970 | 3,712,697,742 |
| 1971 | 3,790,326,948 |
| 1972 | 3,866,568,653 |
| 1973 | 3,942,096,442 |
| 1974 | 4,016,608,813 |
| 1975 | 4,089,083,233 |
| 1976 | 4,160,185,010 |
| 1977 | 4,232,084,578 |
| 1978 | 4,304,105,753 |
| 1979 | 4,379,013,942 |
| 1980 | 4,451,362,735 |
| 1981 | 4,534,410,125 |
| 1982 | 4,614,566,561 |
| 1983 | 4,695,736,743 |
| 1984 | 4,774,569,391 |
| 1985 | 4,856,462,699 |
| 1986 | 4,940,571,232 |
| 1987 | 5,027,200,492 |
| 1988 | 5,114,557,167 |
| 1989 | 5,201,440,110 |
| 1990 | 5,288,955,934 |
| 1991 | 5,371,585,922 |
| 1992 | 5,456,136,278 |
| 1993 | 5,538,268,316 |
| 1994 | 5,618,682,132 |
| 1995 | 5,699,202,985 |
| 1996 | 5,779,440,593 |
| 1997 | 5,857,972,543 |
| 1998 | 5,935,213,248 |
| 1999 | 6,012,074,922 |
| 2000 | 6,088,571,383 |
| 2001 | 6,165,219,247 |
| 2002 | 6,242,016,348 |
| 2003 | 6,318,590,956 |
| 2004 | 6,395,699,509 |
| 2005 | 6,473,044,732 |
| 2006 | 6,551,263,534 |
| 2007 | 6,629,913,759 |
| 2008 | 6,709,049,780 |
| 2009 | 6,788,214,394 |
| 2010 | 6,858,584,755 |
| 2011 | 6,935,999,491 |
| 2012 | 7,013,871,313 |
| 2013 | 7,092,128,094 |
| 2014 | 7,169,968,185 |
Thanks id advance! Will try to rate the answer ASAP. Please show your process too :)
In: Statistics and Probability
In 2016 the Better Business Bureau settled 80% of complaints they received in the United States. Suppose you have been hired by the Better Business Bureau to investigate the complaints they received this year involving new car dealers. You plan to select a sample of new car dealer complaints to estimate the proportion of complaints the Better Business Bureau is able to settle. Assume the population proportion of complaints settled for new car dealers is 0.80, the same as the overall proportion of complaints settled in 2016.
(a)
Suppose you select a sample of 180 complaints involving new car dealers. Show the sampling distribution of
p.
A bell-shaped curve is above a horizontal axis labeled p.
A bell-shaped curve is above a horizontal axis labeled p.
A bell-shaped curve is above a horizontal axis labeled p.
A bell-shaped curve is above a horizontal axis labeled p.
(b)
Based upon a sample of 180 complaints, what is the probability that the sample proportion will be within 0.04 of the population proportion? (Round your answer to four decimal places.)
(c)
Suppose you select a sample of 470 complaints involving new car dealers. Show the sampling distribution of
p.
A bell-shaped curve is above a horizontal axis labeled p.
A bell-shaped curve is above a horizontal axis labeled p.
A bell-shaped curve is above a horizontal axis labeled p.
A bell-shaped curve is above a horizontal axis labeled p.
(d)
Based upon the larger sample of 470 complaints, what is the probability that the sample proportion will be within 0.04 of the population proportion? (Round your answer to four decimal places.)
(e)
As measured by the increase in probability, how much do you gain in precision by taking the larger sample in part (d)?
In: Finance