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(Exercises 19–26) For each description of data, identify Who and What were investigated and the Population of interest.
22. Investments Some companies offer 401(k) retirement plans to employees, permitting them to shift part of their before-tax salaries into investments such as mutual funds. Employers typically match 50% of the employees’ contribution up to about 6% of salary. One company, concerned with what it believed was a low employee participation rate in its 401(k) plan, sampled 30 other companies with similar plans and asked for their 401(k) participation rates.
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- The table below shows the share of income going to each quintile of the income distribution for Neverland in 1980 and 1990. Complete the table below finding the the cumulative share of income for 1980 and 1990 and answer the following: Share of income in Cumulative share of Share of income in Cumulative share of Quintiles 1980 income in 1980 1990 income in 1990 1st 7% 6.6.% 2nd 11.5% 11.5% 3rd 17% 16.3% 4th 24.8% 22.7% 5th 39.7% 42.9% a) Sketch the Perfect Equality line and the Lorenz curve for 1980 and for 1990. Don't forget to label your graph and your curves! b) According to the Lorenz curves that you draw in (a), which year had worse income inequality, 1980 or 1990? JUSTIFY your answer! NOTE: This is a file upload question. Work your answer in a piece of paper, take a picture and upload your file.arrow_forwardFrom the data in the table it shows the 2019 daily return data for the S&P 500 Index (stocks) and the US 30 year Bond (bonds). How do I test the hypothesis that mean daily return on stocks exceeds the mean daily return on bonds? Please show the steps. S&P500 dailt returns data: Date Price Daily Return 2019-12-31 3230.78 0.294602% 2019-12-30 3221.29 -0.578082% 2019-12-27 3240.02 0.003398% 2019-12-26 3239.91 0.512817% 2019-12-24 3223.38 -0.019545% 2019-12-23 3224.01 0.086614% 2019-12-20 3221.22 0.494478% 2019-12-19 3205.37 0.445929% 2019-12-18 3191.14 -0.043230% 2019-12-17 3192.52 0.033529% US 30 Year Bond Date Price Daily Return 31-Dec-19 2.389 2.32% 30-Dec-19 2.335 0.78% 29-Dec-19 2.317 -0.03% 27-Dec-19 2.318 -0.16% 26-Dec-19 2.321 -0.71% 25-Dec-19 2.338 0.15% 24-Dec-19 2.334 -0.83% 23-Dec-19 2.354 0.31% 22-Dec-19 2.346 0.12% 20-Dec-19 2.344 -0.43%arrow_forward3. Consider the following data, taken from the Federal Reserve Bank's Web site. Perform the graphing exercises below using a computer spreadsheet or presentation program. Unemployment rate Inflation (%) (% per year) 9.3 -0.4 9.6 1.6 8.9 3.2 8.1 2.1 7.4 1.5 6.2 1.6 5.3 0.1 4.9 1.3 4.4 2.1 3.9 2.4 Year 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 a. Looking at the data listed in the chart, can you detect a trend in the unemployment rate during these years? In the inflation rate? If so, what sort of trends do you see? Create a time-series graph for the unemployment rate during 2009-2018. b. Create a scatter-plot graph with the unemployment rate on the horizontal axis and inflation on the vertical axis. d. C. Using your graph in part (c), do the two variables seem to have an empirical relationship during this period, or do the points seem to be randomly scattered? If there appears to be an empirical relationship, is it inverse or direct?arrow_forward
- q9arrow_forwardThe Seneca Children’s Fund (SCF) is a local charity that runs a summer camp for disadvantaged children. The fund’s board of directors has been working very hard over recent years to decrease the amount of overhead expenses, a major factor in how charities are rated by independent agencies. The following data show the percentage of the money SCF has raised that was spent on administrative and fund-raising expenses over the past seven years: Year Period (t) Expense (%) 2003 1 13.9 2004 2 12.2 2005 3 10.5 2006 4 10.4 2007 5 11.5 2008 6 10.0 2009 7 8.5 a. Construct a time series plot. What type of pattern exists in the data?b. Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series.c. Forecast the percentage of administrative expenses for year 8.d. If SCF can maintain its current trend in reducing administrative expenses, how long will it take for SCF to achieve a level of 5% or less?arrow_forwardBelow are percentages for annual sales growth and net sales attributed to loyalty card usage at 74 Noodles & Company restaurants. Annual Sales Growth (px;) and Loyalty Card Usage (px; of Net Sales)(n = 74 restaurants) Store Growth% Loyalty% Store Growth% Loyalty% 1 -7.8 0.7 38 7.3 1.5 2 -6.9 2.5 39 7.4 1.7 3 -5.1 1.6 40 7.7 2.3 4 -4.7 1.4 41 8.0 2.0 5 -3.8 2.5 42 8.0 1.6 6 -1.7 1.5 43 8.3 1.9 7 -1.7 2.6 44 8.4 2.0 8 -1.6 2.4 45 8.6 2.2 9 -1.1 2.2 46 8.6 1.6 10 -1.0 1.9 47 8.7 0.9 11 0.4 1.2 48 8.9 1.7 12 0.6 0.5 49 9.4 1.6 13 0.6 2.1 50 9.5 1.3 14 1.0 1.3 51 9.5 2.1 15 1.3 2.0 52 10.5…arrow_forward
- In 2011, home prices and mortgage rates fell so far that in a number of cities the monthly cost of owning a home was less expensive than renting. The following data show the average asking rent and the monthly mortgage on the median-priced home (including taxes and insurance) for 10 cities where the average monthly mortgage payment was less than the average asking rent (The Wall Street Journal, November 26–27, 2011). 7. City Rent ($) Mortgage ($) Atlanta 840 539 1062 1002 Chicago Detroit 823 626 DATA file Jacksonville, Fla. Las Vegas 779 711 796 655 RentMortgage 1071 953 Miami 977 Minneapolis Orlando, Fla. 776 851 695 762 651 654 Phoenix St. Louis 723 Develop a scatter diagram for these data, treating the average asking rent as the inde- pendent variable. Does a simple linear regression model appear to be appropriate? b. Use a simple linear regression model to develop an estimated regression equation to predict the monthly mortgage on the median-priced home given the average asking…arrow_forwardA mutual fund achieved the following rates of growth over an 11-month period: 3% 2% 7% 8% 2% 4% 3% 7.5% 7.2% 2.7% 2.09% Determine the 5th decile from the data. a. 7% b. 4% c. 3% d. 2%arrow_forwardMazars is an integral player in auditing, accounting, tax and advisory services in South Africa. A seasonal analysis was done on their sales for the period between 2009 and 2014 and the Median Seasonal Index's and the Adjusted Seasonal index's was calculated for each quarter as reflected below. Median seasonal Index Adjusted seasonal index Quarter 1 79.5660 79.0886 Quarter 2 85.3333 84.8213 Quarter 3 135.9855 135.1696 Quarter 4 101.5385 100.9293 Total 400.00 Each adjusted seasonal index measures the magnitude of seasonal influence on the actual values of the time series for a given period within the year. Interpret the seasonal analysis results for Quarter 1arrow_forward
- i. In the early 2000s interest rates were low so many homeowners refinanced their home mortgages. Linda is a mortgage officer at Maybank Savings and Loan. Below is the amount refinanced for twenty loans she processed last week. The data are reported in thousands of dollars and arranged from smallest to largest. 59.2 59.5 61.6 65.5 66.6 72.9 74.8 77.3 79.2 83.7 85.6 85.8 86.6 87.0 87.1 90.2 93.3 98.6 100.2 100.7 a. Find the mean, median, 1stquartile and 3rd quartile b. Draw a stem and leaf plot of the data using class width of 10 ii. The sales of Lexus automobiles in the Detroit area follow a Poisson distribution with a mean of 3 per day. a. What is the probability that no Lexus is sold on a particular day? b. What is the probability that for five consecutive days at least one Lexus is sold? please help me with this question. please do not reject itarrow_forwardI just need help with (a) (b) (e)arrow_forwardThe accompanying data below shows the South African population versus expenditure on new construction works by the public sector. Data was obtained from Statistics South Africa for the period between 2014 to 2017. What is the predicted expenditure on new construction if the population is 45 million? Year S.A. Population (per million) (x) Expenditure on new construction (per million) (y) 2014 44.25 18.98 2015 44.75 21.23 2016 45.50 24.62 2017 45.58 20.15 Σx= 179.08 Σy= 84.98 Σxy = 3808.4045 Σx2 = 8018.2514 Σy2 = 1823.120 a = -183.9941 b = 4.5843arrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL