Your investment advisor proposes a monthly income investment scheme which promises a variable income each month. You will invest in it only if you are assured an average monthly income of at least 560 dollars. Your advisor also tells you that, for the past 76 months, the scheme had incomes with an average value of 578 dollars and a standard deviation of 76 dollars. a) Create a 98% confidence interval for the average monthly income of this scheme. (Round your answers to 4 decimal places, if needed.) b) Based on this confidence interval, should you invest in this scheme? Yes, since the interval contains 560. Yes, since the interval is completely above 560. No, since the interval contains 560. No, since the interval is completely above 560.
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- Pax World Balanced is a highly respected, socially responsible mutual fund of stocks and bonds. Vanguard Balanced Index is another highly regarded fund that represents the entire U.S. stock and bond market (an index fund). The mean and standard deviation of annualized percent returns are shown below. The annualized mean and standard deviation are for a recent 10-years period.†. Pax World Balanced: x = 9.70%; s = 13.95% Vanguard Balanced Index: x = 8.88%; s = 12.35% (a) Compute the coefficient of variation for each fund. (Round your answers to one decimal place.) If x represents return and s represents risk, then explain why the coefficient of variation can be taken to represent risk per unit of return. From this point of view, which fund appears to be better? Explain. A. Since the CV is s/s2 we can say that the CV represents the risk per unit of return; the Pax fund appears to be better because the CV is smaller. B. Since the CV is s/s2 we can say that the CV represents the risk per…Your investment advisor proposes a monthly income investment scheme which promises a variable income each month. You will invest in it only if you are assured an average monthly income of at least 780 dollars. Your advisor also tells you that, for the past 41 months, the scheme had incomes with an average value of 816 dollars and a standard deviation of 92 dollars.(a) Create a 95% confidence interval for the average monthly income of this scheme. (Round your answers to 4 decimal places, if needed.)If the lead time increases from 1 to 4 weeks, will the standard deviation of demand during thelead time increase four times? If not, why not?
- Your investment advisor proposes a monthly income investment scheme which promises a variable income each month. You will invest in it only if you are assured an average monthly income of at least 630 dollars. Your advisor also tells you that, for the past 41 months, the scheme had incomes with an average value of 652 dollars and a standard deviation of 113 dollars. (a) Create a 90% confidence interval for the average monthly income of this scheme. (Round your answers to 4 decimal places, if needed.) (b) Based on this confidence interval, should you invest in this scheme? O No, since the interval is completely above 630. Yes, since the interval is completely above 630. O Yes, since the interval contains 630. O No, since the interval contains 630. CheckA money market mutual fund manages a $ 100 crores fund invested in money market securities. It has assessed its average daily cash needs as 10% of the corpus to meet the redemption pressure even in difficult times. Last 100 days average was found to be 10.08% of the corpus. The experience of mutual fund manager has revealed the standard deviation of average daily cash balance as 30 lakhs $ He wants to find out whether or not his last 100 days average cash balance is within the limits of 10% at a level of significance of 5%. How can you help him ?Suppose that Zac had a mean income of P700 and with a standard deviation of P90 for the last 15 days. determine the following: (Round off your answers into two decimal places) a. The z-score corresponding to his P850 income. b.) his income that correspond to z =-1.25.
- Your investment advisor proposes a monthly income investment scheme which promises a variable income each month. You will invest in it only if you are assured an average monthly income of at least 670 dollars. Your advisor also tells you that, for the past 61 months, the scheme had incomes with an average value of 711 dollars and a standard deviation of 120 dollars. a) Create an 80% confidence interval for the average monthly income of this scheme. (Round your answers to 4 decimal places, if needed.) b) Based on this confidence interval, should you invest in this scheme? Yes, since the interval is completely above 670. O No, since the interval is completely above 670. No, since the interval contains 670. Yes, since the interval contains 670.suppose that you scored 60 on a test that has a population mean of 64 and a standard deviation of 8. If the population distribution were to be transformed into one with a mean of 50 and a standard deviation of 10 what would your score be in this new distribution?After 6 months, what is the probability that the average monthly percentage return will be 1% and 2% if the mean is 1.9% and 0.6% is the standard deviation
- 11. An economist produced this graphic with an article stating that gas prices did not move much between November 2004 and July 2005. Explain why the graph does not give a fair picture of the changes in gas prices in this period. Gentle Fluctuation in Gas prices 250 200 150 100 50 2/15/05 5/15/05 11/15/04 MacBook Air F9 F8 DOO F6 F7 F4 F5 % & 7 8 9. 5 6The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.01 level that the medicine relieves pain in more than 313 seconds. For a sample of 34 patients, the mean time in which the medicine relieved pain was 320 seconds. Assume the standard deviation is known to be 24. Step 4 of 5 : Enter the decision rule.Please solve algebraically