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- A researcher hypothesizes that in a certain country the net annual growth of private sector purchases of government bonds, B, is positively related to the nominal rate of interest on the bonds, NI, and negatively related to the rate of inflation Π: Bt = a0 + a1NIt + a2Π t + ut Note that it may be hypothesized that B depends on the real rate of interest on bonds, R, where R = NI – Π. Using a sample of 56 annual observations, s/he estimates the following equations: (1) Bt = 0.43 + 0.90NIt - 0.97Πt R21 = 0.962, SSR1 = 2.20, QRESET(F1,52) = 16.6 (3.58) (8.80) (-1.05) (2) Bt = 0.44 + 0.94Rt R22 = 0.960, SSR2 = 2.22, QRESET(F1,53) = 0.9 (9.70) (16.7) (3) Bt = 0.44 + 1.14NIt SSR3 = 9.20, QRESET(F1,53) = 59.9 (8.84) (36.1) (4) NIt = 0.08 + 0.94Πt R24 = 0.997, SSR4 = 0.18, QRESET(F1,53) = 1.4…In a certain city, the daily consumption of electricpower in millions of kilowatt-hours can be treated as arandom variable having a gamma distribution with α = 3and β = 2. If the power plant of this city has a daily capacity of 12 million kilowatt-hours, what is the prob-ability that this power supply will be inadequate on any given day?Members of the millennial generation are continuing to be dependent on their parents (either living with or otherwise receiving support from parents) into early adulthood. A family research organization has claimed that, in past generations, no more than 30% of individuals aged 18 to 32 continued to be dependent on their parents. Suppose that a sample of 400 individuals aged 18 to 32 showed that 136 of them continue to be dependent on their parents. In Excel b. What is your point estimate of the proportion of millennials that are continuing to be dependent on their parents? c. What is the p-value provided by the sample data?
- A medical researcher says that less than 80% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that country, 76% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. Let p be the population proportion of successes, where a success is an adult in the country who thinks that healthy children should be required to be vaccinated. (a) Find the critical value(s) and identify the rejection region(s). z0=______ (b) Identify the rejection region(s). (c) Find the standardized test statistic z. z=______ (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.According to a newspaper study of more than 1 million medical dispatches from 2007 to 2012, the 911 response time for medical aid varies dramatically across a city. Under national standards adopted by the city's fire department, rescuers are supposed to arrive within six minutes to almost all medical emergencies. But the newspaper analysis found that in affluent hillside communities of the city, firefighters failed to hit that mark nearly 85% of the time. The following data show the response times, in minutes, for 10 emergency calls in the Griffith Park neighborhood. 11.8 10.3 10.7 10.6 11.5 8.3 10.5 10.9 10.7 11.2 Based on this sample of ten response times, compute the descriptive statistics (in minutes) in parts (a) and (b) and then answer the questions in parts (c) and (d). (a) mean, median, and mode (in min) mean minmedian minmode min (b) range and standard deviation (in min) (Round your answers to four decimal places.) range minstandard deviation min (c) Compute…From past records a firm has noted that the average time its employees take for tea break is 15 minutes , with variance 4 minutes. A new employee joins the firm and over 50 tea breaks he has been observed to take an average time of 17 minutes. Should the manager caution him about taking too long a time over his tea break ?
- In the general population, Democrats are estimated to have an average mental health index score of during this time period, with a 95% margin of error of . Respondents with MHI scores of 12 or higher are known to be at very high risk for mental health complications. Among Democrats, approximately percent are at very high risk for mental health complications. An MHI score above 7 is considered indicative of life conditions that are at least moderately stressful. Among Democrats, approximately percent are experiencing life conditions that are at least moderately stressful.A researcher is concerned that his new antihypertensive medication may be causing insomnia in some of his patients. Suppose he gathers an SRS of 65 patients treated with the study drug with a sample average of 6.6 hours of sleep and a σ=1.1. Assuming that insomnia can be quantified as an average of 4.5 hours of sleep, can we determine with 95% confidence that his drug avoids diagnosis of insomnia as a side-effect?According to Deloitte, through January 25,2006, the majority of companies reporting profits had beaten estimates. Now suppose that for the 4th quarter of 2012, 170 of a random sample of 280 companies reported profits that had beaten estimates. Does the data indicate the proportion of companies in the 4th quarter of 2012 that beat estimates is greater than 56% at α=0.05?
- Dr. Castillejo feels that the maximum pulse rate (from 152 bpm to 196 bpm) during the run is a good predictor in explaining the oxygen consumption in the blood stream. He asserts that if the pulse rate at the end of the run increased, then the oxygen consumption will also increase, hence his/her heart is functioning well. Based on the R commanderoutput below, Give the expected oxygen consumption if the maximum pulse rate is 160 bpmThe recent economic downturn resulted in the loss of jobs and an increase in delinquentloans for housing. In projecting where the real estate market was headed in the comingyear, economists studied the relationship between the jobless rate and the percentage ofdelinquent loans. The expectation was that if the jobless rate continued to increase, therewould also be an increase in the percentage of delinquent loans. The following data showthe jobless rate and the delinquent loan percentage for 27 major real estate markets. a. Compute the correlation coefficient. Is there a positive correlation between the joblessrate and the percentage of delinquent housing loans? What is your interpretation?b. Show a scatter diagram of the relationship between the jobless rate and the percentageCompute the forecasted values for Yt for July and August in 2020 by using the modelsstated in (c) and (d)