Suppose that the following data is the total annual incomes (rounded to thousands) for all 30 staffs in the Department of Mathematics of a university for the year 2014. Staff Annual Income(RM '000) Staff Annual Income(RM '000) 1 51 16 43 2 70 17 16 3 79 18 15 4 75 19 72 5 72 20 92
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- What is the total effect on the economy of a government tax rebate of $500 to each household in order to stimulate the economy if each household will spend of the rebate in goods and services?Suppose that historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine whether the proportion of new car buyers that trade in their old car has statistically significantly decreased, what is the p-value? (please round your answer to 4 decimal places)At the end of 2015, the US Bureau of Economics Analysis posted the following data on the U.S disposable personal income by month for the 11 months of the year as indicated in this table
- Suppose a certain scale is not calibrated correctly, and as a result, the mass of any object is displayed as 0.75 kilogram less than its actual mass. What is the correlation between the actual masses of a set of objects and the respective masses of the same set of objects displayed by the scale?The following table gives the number of deaths due to accidental falls for each month during 1970. Is there any evidence for a departure from uniformity in the rate over time? That is, is there a seasonal pattern to this death rate? If so, describe its pattern and speculate as to causes. Table attached.If a study determines the difference in average salary for sub population of people with blue eyes and people with brown eyes is not significant, then the population of blue eyed people are "blank" different salaries.
- This figure, presents the percentage deviation from the 60:40ratio in the market values of equity of Royal Dutch and Shell between September 1980 andSeptember 1995. 1. What is the main finding of this Figure?2. What is the explanation for the finding?Table 1 shows the total amount spent in Malaysia by tourists from Saudi Arabia and Japan from 2010 to 2019. Based on Table 1, at the 0.01 level of significance, can we conclude that tourists from Saudi Arabia spent less than those from Japan. Table 1: Amount spend by tourists from Saudi Arabia and Japan Year Saudi Arabia Jepun 2010 0.7 1.1 2011 0.7 1.1 2012 0.8 1.4 2013 0.8 1.5 2014 1.1 1.8 2015 1.0 1.6 2016 1.3 1.3 2017 1.2 1.2 2018 1.3 1.7 2019 1.4 2.3Suppose that the length of long distance phone calls, mea- sured in minutes, is known to have an exponential distribution with the average length of a call equal to 15 minutes. Find the CDF.
- The mean age of a class of twenty-five students is 23.8 years. How old would a twenty-sixth student have to be for the mean age of the class to be 24.0 years? yrOver the past 40 years, the percentage of homes in the United States with smoke detectors has risen steadily and has plateaued at about 96% as of 2015.† With this increase in the use of home smoke detectors, what has happened to the death rate from home fires? Suppose the following contains 17 years of data on the estimated percentage of homes with smoke detectors and the estimated home fire deaths per million of population. Percentage ofHomes withSmoke Detectors Home Fire Deathsper Millionof Population 0.52 22.8 0.69 20.7 0.76 17.2 0.78 20.4 0.79 19.3 0.84 18.8 0.83 17.5 0.87 16.1 0.88 13.5 0.90 14.3 0.92 14.2 0.94 12.9 0.95 10.8 0.96 10.8 0.97 10.1 0.96 8.3 0.96 8.0 (a) Do you expect a positive or negative relationship between smoke detector use and deaths from home fires? Why or why not? We would expect there would be a ---Select--- negative positive relationship between smoke detector use and deaths from home fires. As more households have…The following table shows the daily receipts in millions of dollars of the movie. “The hunger games” after its opening on march 23 2012. FIND THE AVERAGE RATE OF CHANGE OF THE DAILY RECEIPTS FROM DAY 35 to day 63.