Can someone please help me with these problems? Thank You!

Overproduction of uric acid In the body can be an indication of cell breakdown. This may be an advance Indication of illness such as gout, leukemia, or lymphoma.'l Over a period of months, an adult male patient has taken twelve blood tests for uric acid. The mean concentration was x = 5.35 mgjdl. The distribution of uric acid in healthy adult males can be assumed to be normal, with o = 1.85 mg/dl. (a) Find a 95% condence interval for the population mean concentration of uric acid in this patient's blood. What is the margin of error? (Flound your answers to two decimal places.) lower limit upper limit margin of error (b) What conditions are necessary for your calculations? (Select all that apply.) [1 dis known [1 a is unknown Fl (1 is large Fl uniform distribution of uric acid [1 normal distribution ofuric acid (c) Interpret your results In the context of this problem. '\" There is not enough information to make an Interpretation. A l\\ J The probability that this interval contains the true average uric acid level for this patient is 0.95. (a II x; The probability that this interval contains the true average uric acid level for this patient is 0.05. A II \\/ There is a 5% chance that the confidence interval is one of the Intervals containing the population average uric acid level for this patient. A II x; There is a 95% chance that the condence interval is one of the intervals containing the population average uric acid level for this patient. (d) Find the sample size necessaryr for a 95% condence level with maximal margin of error E = 1.06 for the mean concentration of uric acid in this patient's blood. (Round your answer up to the nearest whole number.) blood tests Jobs and productivityi How do retail stores rate? One way to answer this question is to examine annual prots per employee. The following data give annual prots per employee (in units of 1 thousand dollars per employee) for companies in retail sales. Assume a x 3.? thousand dollars. 4.4 6.4 3.8 8.]. 15 5.9 9.0 5.9 2.6 2.9 8.1 1.9 11.9 8.2 6.4 4.? 5.5 4.8 3.0 4.3 -6.0 1.5 2.9 4.8 -1.? 9.4 5.5 5.8 4.? 6.2 15.0 4.1 3.? 5.1 4.2 (a) Use a calculator or appropriate computer software to nd 5: for the preceding data. (Round your answer to two decimal places.) 5.05 thousand dollars per employee (b) Let us say that the preceding data are representative of the entire sector of retail sales companies. Find an 80% condence interval for y, the average annual prot per employee for retail sales. (Round your answers to two decimal places.) lower limit 7 thousand dollars upper limit 7 thousand dollars (c) Let us say that you are the manager ofa retail store with a large number of employees. Suppose the annual profits are less than 3 thousand dollars per employee. Do you think this might below compared with other retail stores? Explain by referring to the condence interval you computed in part (b). o Yes. This confidence interval suggests that the profits per employee are less than those of other retail stores. (3: No. This condence interval suggests that the profits per employee do not differ from those of other retail stores. (d) Suppose the annual profits are more than 6.5 thousand dollars per employee. As store manager, would you feel somewhat better? Explain by referring to the confidence interval you computed in part (b). O Yes. This confidence interval suggests that the profits per employee are greater than those of other retail stores. O No. This confidence interval suggests that the profits per employee do not differ from those of other retail stores. (e) Find an 95% confidence interval for /, the average annual profit per employee for retail sales. (Round your answers to two decimal places.) lower limit ? thousand dollars upper limit ? thousand dollars Let us say that you are the manager of a retail store with a large number of employees. Suppose the annual profits are less than 3 thousand dollars per employee. Do you think this might be low compared with other retail stores? Explain by referring to the confidence interval you computed in part (b). Yes. This confidence interval suggests that the profits per employee are less than those of other retail stores. No. This confidence interval suggests that the profits per employee do not differ from those of other retail stores. Suppose the annual profits are more than 6.5 thousand dollars per employee. As store manager, would you feel somewhat better? Explain by referring to the confidence interval you computed in part (b). Yes. This confidence interval suggests that the profits per employee are greater than those of other retail stores. O No. This confidence interval suggests that the profits per employee do not differ from those of other retail stores.Do you want to own your own candy store? Wow! With some interest in running your own business and a decent credit rating, you can probably get a bank loan on startup costs for franchises such as Candy Express, The Fudge Company, Karmel Corn, and Rocky Mountain Chocolate Factory. Startup costs (in thousands of dollars) for a random sample of candy stores are given below. Assume that the population of x values has an approximately normal distribution. 96 175 135 94 75 94 116 100 85 (a) Use a calculator with mean and sample standard deviation keys to find the sample mean startup cost x and sample standard deviation s. (Round your answers to one decimal place.) X = thousand dollars S thousand dollars (b) Find a 90% confidence interval for the population average startup costs u for candy store franchises. (Round your answers to one decimal place.) lower limit thousand dollars upper limit thousand dollarsThe method of tree ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution. 1180 1180 1320 1278 1268 1316 1275 1317 1275 (a) Use a calculator with mean and standard deviation keys to find the sample mean year x and sample standard deviation s. (Round your answers to the nearest whole number.) x = 1268 A.D. S = 51 yr (b) Find a 90% confidence interval for the mean of all tree ring dates from this archaeological site. (Round your answers to the nearest whole number.) lower limit A.D. upper limit A.D.Use the Student's & distribution to find t for a 0.99 confidence level when the sample is 30. (Round your answer to three decimal places.)