what is the relative error of this data ? Please do in excel and show the formula you applied.
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what is the relative error of this data ? Please do in excel and show the formula you applied.
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- Z, a local jazz station, has hired you as a research consultant to determine which demographic groups should be the radio station market. In particular, the station believes that there is a difference between men and women in terms of their opinions of jazz music. By randomly sampling men and women from the Houston metropolitan region, you calculate the results in Table 1. You also calculate a gamma of .064 and a chi-square of 1.99 with 2 degrees of freedom from the table. Note that the measure of association (gamma) of .064 indicates a very weak relationship between gender and like of jazz. In a paragraph of at least five to six sentences, discuss whether the percent distribution of the cross-tab, the measure of association, and chi-square supports, or does not support, the station’s hypothesis. Ensure that you mention hypothesis how the IV percent distribution changes in relationship to the DV what level of significance you used, and how the chi-square obtained from the sample…A tubes lifetime for your company's microwave follow an exponential distribution with a mean of 5.6 years. Your sales policy states that each magnetron tube has a two year warranty. What fraction of the tubes should your company plan to replace under warranty?Along with interest rates, life expectancy is a component in pricing financial annuities. Suppose that you know that last year average life expectancy was 77 years for your annuity holders. Now you want to know if your clients this year have a longer life expectancy, on average, so you randomly sample n=20 of your recently deceased annuity holders to see actual age at death. Using a 5% level of significance, test whether or not the new data shows evidence of your annuity holders now live longer than 77 years, on average. The data below are the sample data (in years of life): (78,75,83,81,81,77,78,79,79,81,76,79,77,76,79,81,73,74,78,79) Does this sample indicate that life expectancy has increased? Test an appropriate hypothesis and state your conclusion (use a 5% level of significance). Be sure to check the necessary assumptions and conditions before conducting your test. Construct A 90% confidence interval for the true average age of death for the…
- Annualized percentage return on investment (as compared to the Standard & Poor's 500 Index) for 10 randomly selected stock screeners are reproduced in the table. Complete parts a through c.Cardiovascular Disease Suppose the incidence rate of myocardial infarction (MI) was 5 per 1000 among 45- to 54-year-old men in 2000. To look at changes in incidence over time, 5000 men in this age group were followed for 1 year starting in 2010. Fifteen new cases of MI were found. Suppose that 25% of patients with Mi in 2000 died within 24 hours. This propartion is called the 24-hour case-fatality rate. Of the 15 new MI cases in the preceding study. 5 died within 24 hours. Test whether the 24-hour case- fatality rate changed from 2000 to 2010.The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second).a) Find the probability that the demand will exceed 200 cfs during the early afternoon on arandomly selected day.b) What water-pumping capacity should the station maintain during early afternoons sothat the probability that demand will exceed capacity on a randomly selected day isonly .01?
- Abalone Abalones are edible sea snails that include over100 species. A researcher is working with a model thatuses the number of rings in an Abalone’s shell to predictits age. He finds an observation that he believes has beenmiscalculated. After deleting this outlier, he redoes thecalculation. Does it appear that this outlier was exertingvery much influence?An article in Quality Engineering presents viscosity data from a batch chemical process. A sample of these data is in the table. Reading left to right and up to down, draw a time series plot of all the data and comment on any features of the data that are revealed by this plot. Consider that the first 40 observations (the first 4 columns) were generated from a specific process, whereas the last 40 observations were generated from a different process. Does the plot indicate that the two processes generate similar results? Calculate the sample mean and sample variance of the first 40 and the second 40 observations.To seethe effect of a relatively small error in the estimate of the amountof carbon-14 in a sample being dated, consider this hypotheticalsituation: A bone fragment found in central Illinois in the year 2000 contains 17% of its original carbon-14 content. Estimate the year the animal died.
- Suppose the incidence rate of myocardial infarction (MI)was 5 per 1000 among 45- to 54-year-old men in 2000.To look at changes in incidence over time, 5000 men in thisage group were followed for 1 year starting in 2010. Fifteennew cases of MI were found. Q.)Suppose that 25% of patients with MI in 2000 died within24 hours. This proportion is called the 24-hour case-fatalityrate. 7.14 Of the 15 new MI cases in the preceding study,5 died within 24 hours. Test whether the 24-hour casefatality rate changed from 2000 to 2010. 7.15 Suppose we eventually plan to accumulate 50 MIcases during the period 2010–2015. Assume that the24-hour case-fatality rate is truly 20% during this period.How much power would such a study have in distinguishingbetween case-fatality rates in 2000 and 2010–2015 if atwo-sided test with significance level .05 is planned? 7.16 How large a sample is needed in Problem 7.15 toachieve 90% power?A metal company is supplying its product to a manufacturer of washing appliances that has specified that the outside diameter be 0.255 + 0.028 inch. Fifty samples of n = 5 units show that the process is in good statistical control, the diameters are normally distributed, and that μx and σx for the process are 0.260 and 0.02 inch, respectively. a) What percent of the product made by this process is within the specifications? Answer in 2 decimal placesb) If the process variability was reduced by about half (i.e., σx changed to 0.01 inch), what percent of the product made by this process is within the specifications? Answer in 2 decimal places.Suppose the incidence rate of myocardial infarction (MI)was 5 per 1000 among 45- to 54-year-old men in 2000.To look at changes in incidence over time, 5000 men in thisage group were followed for 1 year starting in 2010. Fifteennew cases of MI were found. Suppose that 25% of patients with MI in 2000 died within24 hours. This proportion is called the 24-hour case-fatalityrate. >Suppose we eventually plan to accumulate 50 MIcases during the period 2010–2015. Assume that the24-hour case-fatality rate is truly 20% during this period.How much power would such a study have in distinguishingbetween case-fatality rates in 2000 and 2010–2015 if atwo-sided test with significance level .05 is planned?
