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9. [40.3 Points] DETAILS BBUNDERSTAT12 7.2.018. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER What percentage of hospitals provide at least some charity care? Based on a random sample of hospital reports from eastern states, the following information is obtained (units in percentage of hospitals providing at least some charity care): 56.? 55.5 52.? 66.3 59.0 64.? 70.1 64.? 53.5 78.2 Assume that the population of x values has an approximately normal distribution. (a) Use a calculator with mean and sample standard deviation keys to nd the sample mean percentage E and the sample standard deviation 8. (Round your answers to one decimal place.) x= l'ia s= |% (b) Find a 90% condence interval for the population average y of the percentage of hospitals providing at least some charity care. (Round your answers to one decimal place.) Iowerlimit l |% upper limit l |% I: L-lU-J rum; 1 UEIHII-J DDUIIUERJIHI I' IA'JUIUI MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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. 100 174 126 '36 75 94 116 100 35 (a) Use a calculator with mean and sample standard deviation keys to find the sample mean startup cost 2 and sample standard deviation 3. (Round your answers to one decimal place.) it - |thousancl dollars 5 = |thousand dollars (b) Find a 90% confidence interval for the population average startup costs it for candy store franchises. (Round your answers to one decimal place.) lowerlirnit I lthuusand dollars upper limit I lthousand dollars Need Help? W 3. [-10.3 Points] DETAILS BBUNDERSTAT12 7.2.017. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Over the past several months, an adult patient has been treated for tetany (severe muscle spasms). This condition is associated with an average total calcium level below 6 mg/dl. Recently, the patient's total calcium tests gave the following readings (in mg/dl). Assume that the population ofx values has an approximately normal distribution. 91 96 10,1 9.3 9,4 98 100 9,9 112 12,1 (a) Use a calculator with mean and sample standard deviation keys to find the sample mean reading E and the sample standard deviation 3. (Round your answers to two decimal places.) it = mgldl s = mgldl (b) Find a 99.9% confidence interval for the population mean of total calcium in this patient's blood. (Round your answer to two decimal places.) lower limit mgi'dl upper limit mgidl How much does a sleeping bag cost? Let's say you want a sleeping bag that should keep you warm in temperatures from 20 F to 45 F. A random sample of prices ($) for sleeping bags in this temperature range is given below. Assume that the population of x values has an approximately normal distribution. 45 80 115 100 40 105 95 105 95 30 23 60 110 120 95 110 90 60 70 (a) Use a calculator with mean and sample standard deviation keys to find the sample mean price x and sample standard deviation s. (Round your answers to two decimal places.) X = $ s = $ (b) Using the given data as representative of the population of prices of all summer sleeping bags, find a 90% confidence interval for the mean price / of all summer sleeping bags. (Round your answers to two decimal places.) lower limit $ upper limit Need Help? Read It Submit Answer 6. [-/0.3 Points] DETAILS BBUNDERSTAT12 7.2.015. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER How much do wild mountain lions weigh? Adult wild mountain lions (18 months or older) captured and released for the first time in the San Andres Mountains gave the following weights (pounds): 65 105 135 122 60 64 Assume that the population of x values has an approximately normal distribution. (a) Use a calculator with mean and sample standard deviation keys to find the sample mean weight x and sample standard deviation s. (Round your answers to one decimal place.) X = S = Ib (b) Find a 75% confidence interval for the population average weight / of all adult mountain lions in the specified region. (Round your answers to one decimal place.) lower limit upper limit4. [40.3 Points] DETAILS BBUNDERSTAT12 7.2.013.FB. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The method of tree-ring dating gave the following years AD. for an archaeological excavation site. Assume that the . population of x values has an approximately normal distribution. 1.299 1,320 1,285 1,201 1,253 1,315 1,275 1.317 1,275 (a) Use a calculator with mean and standard deviation keys to nd the sample mean year )7 and sample standard deviation 3. (Round your answers to the nearest whole number.) AD. yr '1'! MI (b) Find a 90% condence interval for the mean of all treering dates from this archaeological site. (Round your answers to the nearest whole number.) lower limit A. D. upper limit AD. 3. [-/0.3 Points] DETAILS BBUNDERSTAT12 7.2.013.EP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The 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. 1,208 1,250 1,236 1,250 1,268 1,316 1,275 1,317 1,275 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.) A.D. yr (b) When finding an 90% confidence interval, what is the critical value for confidence level? (Give your answer to three decimal places.) to = What is the maximal margin of error when finding a 90% confidence interval for the mean of all tree-ring dates from this archaeological site? (Round your answer to the nearest whole number.) E = 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.1. [-/0.3 Points] DETAILS BBUNDERSTAT12 7.2.001.MI.SA. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Use the Student's t distribution to find to for a 0.95 confidence level when the sample is 26. Step 1 Recall that a Student's t distribution table lists critical values t for a c confidence level. The table is arranged by column headings for c and by row headings for degrees of freedom d.f. Decide which column to use by identifying the confidence level value. Submit Skip (you cannot come back). Need Help? Read It Watch It 2. [-/0.3 Points] DETAILS BBUNDERSTAT12 7.2.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The 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. 1285 1236 1215 1222 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 = A . D . S= 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